math1003 1.13 - significant digits, accuracy, precision

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MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

1.13Significant Digits, Accuracy, and Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Goal

To be able to define the concepts of significant digits, accuracy, and precision with respect to numbers.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Significant Digits

“A crowd of 7,000 people had gathered to watch the parade.”

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

“They planted 2,124 daffodils this year.”

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

7000 2214The number of important, or “significant,” digits in these

numbers are different.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

7000 2214In 7000, there is only one significant digit.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

7000 2214In 7000, there is only one significant digit.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

7000 2214In 7000, there is only one significant digit.In 2214, there are four significant digits.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two

significant digits.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two

significant digits.❖ Leading 0s are not significant.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two

significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains

a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

527Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

527Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

527Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

527 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

527Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

527 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

527Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

527 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

527Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

527 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032 has 4 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032 has 4 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032 has 4 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032 has 4 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-5,032Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-5,032 has 4 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3.68Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3.68Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3.68Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3.68 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3.68Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3.68 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3.68Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3.68 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3.68Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3.68 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-0.0019Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-0.0019Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-0.0019Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-0.0019 has 2 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-0.0019Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-0.0019 has 2 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-0.0019Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-0.0019 has 2 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

15,009Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

15,009 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

23.004Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

23.004 has 5 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-27,500Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-27,500Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-27,500Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-27,500 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-27,500Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-27,500 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-27,500Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-27,500 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

-27,500Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

-27,500 has 3 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

3,000.00Rules❖ All non-zero digits are significant.❖ Zero (0) is a significant digit if it is between two significant digits.❖ Leading 0s are not significant.❖ Trailing 0s are significant only if the number contains a decimal point.

3,000.00 has 6 significant digits

Significant Digits

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Accuracy

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

AccuracyDefinitionThe accuracy of a number is the number of significant digits in the number.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

AccuracyDefinitionThe accuracy of a number is the number of significant digits in the number.

3.02

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionAccuracy

DefinitionThe accuracy of a number is the number of significant digits in the number.

3.02This number is accurate to 3 significant digits.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe accuracy of a number is the number of significant digits in the number.

Accuracy

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe accuracy of a number is the number of significant digits in the number.

-1,470

Accuracy

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe accuracy of a number is the number of significant digits in the number.

-1,470This number is accurate to 3 significant digits.

Accuracy

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

PrecisionDefinitionThe precision of a number is the place value of the rightmost significant digit.

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

PrecisionDefinitionThe precision of a number is the place value of the rightmost significant digit.

3.02

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionPrecision

DefinitionThe precision of a number is the place value of the rightmost significant digit.

3.02This number has a precision of 0.01

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionPrecision

DefinitionThe precision of a number is the place value of the rightmost significant digit.

3.02This number has a precision of 0.01

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

-1,470

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

This number has a precision of 10

-1,470

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

This number has a precision of 10

-1,470

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

-0.006043

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

This number has a precision of 0.000001 or 10-6

-0.006043

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

DefinitionDefinitionThe precision of a number is the place value of the rightmost significant digit.

This number has a precision of 0.000001 or 10-6

-0.006043

Precision

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

What is the accuracy and precision of the exchange rate?Accuracy ______ Precision ________________________

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

What is the accuracy and precision of the exchange rate?Accuracy ______ Precision ________________________

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

What is the accuracy and precision of the exchange rate?Accuracy ______ Precision ________________________4

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

What is the accuracy and precision of the exchange rate?Accuracy ______ Precision ________________________4

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On Monday, the Canadian dollar was trading against the US dollar at 0.9985

What is the accuracy and precision of the exchange rate?Accuracy ______ Precision ________________________4 .0001 or 10-4

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

What is the accuracy and precision of the polpulation count?Accuracy ______ Precision ________________________

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

What is the accuracy and precision of the polpulation count?Accuracy ______ Precision ________________________

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

What is the accuracy and precision of the polpulation count?Accuracy ______ Precision ________________________4

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

What is the accuracy and precision of the polpulation count?Accuracy ______ Precision ________________________4

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

On this sign, it is posted that the population of Toronto is 2,482,000

What is the accuracy and precision of the polpulation count?Accuracy ______ Precision ________________________4 1000 or 103

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

What is the accuracy and precision of the distance?Accuracy ______ Precision ________________________

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the distance?Accuracy ______ Precision ________________________

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the distance?Accuracy ______ Precision ________________________2

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the distance?Accuracy ______ Precision ________________________2

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the distance?Accuracy ______ Precision ________________________2 100 or 102

The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the percentage?Accuracy ______ Precision ________________________

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the percentage?Accuracy ______ Precision ________________________

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the percentage?Accuracy ______ Precision ________________________3

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the percentage?Accuracy ______ Precision ________________________3

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

MATH1003

10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001

What is the accuracy and precision of the percentage?Accuracy ______ Precision ________________________3 0.1 or 10-1

In a previous federal election, the percentage of registered voters that voted was 64.9

Exercises

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