Maths

Decimals

How do I know what kind of decimal it is?

We know the name of a decimal by counting how many places there are

to the right of the decimal point.

Number of Places Decimal Name Example

1 tenths 0.7

2 hundredths 0.05

3 thousandths 0.016

What are mixed decimals? Mixed decimals are numbers with both whole

numbers and decimals. We know the name of a whole number by it’s

place to the left of the decimal point.

In the number 128.765, 1 is in the hundreds place, 2 is in the tens place, 8 is in the ones place, 7 is in the tenths place, 6 is in the hundredths place, and 5 is in the thousandths place

How do you read decimals?

To read a decimal correctly, first find the decimal point.

Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction.

Say “point” for the decimal point The decimal 2164.511 is read as “two

thousand, one hundred sixty-four point five hundred and eleven thousandths”

Zeros after the decimal point

Writing extra zeros after the decimal point does not change the value!

The decimals 0.2, 0.20, and 0.200 are equivalent decimals

Here are some practice problems. Let’s do them together.Let’s help each other understand.So…Open your Maths Notebook.

Practice

Comparing Fractions to Decimals

Comparing Fractions to Decimals

Comparing Fractions to Decimals

Comparing Fractions to Decimals

Comparing Fractions to Decimals

Comparing Fractions to Decimals

Comparing Fractions to Decimals

0.1

Comparing Fractions to Decimals

0.1

0.2

Comparing Fractions to Decimals

0.1

0.2

0.3

decimals

321.8 = 300 + 20 + 1 + 0.8

300.0 20.0 1.0 0.8321.8

decimals

321.8 = 300 + 20 + 1 + 0.8

300.0 20.0 1.0 0.8

321.8

decimals

74.2 = 70 + ___ + 0.2

411.5 = ____ + 10 + 1 + 0.5

287.3 = 200 + 80 + 7 + ___

682.2 = 600 + ___ + 2 + ___

decimals

74.2 = 70 + ___ + 0.24411.5 = ____ + 10 + 1 + 0.5

287.3 = 200 + 80 + 7 + ___

682.2 = 600 + ___ + 2 + ___

decimals

74.2 = 70 + ___ + 0.24411.5 = ____ + 10 + 1 + 0.5400287.3 = 200 + 80 + 7 + ___

682.2 = 600 + ___ + 2 + ___

decimals

74.2 = 70 + ___ + 0.24411.5 = ____ + 10 + 1 + 0.5400287.3 = 200 + 80 + 7 + ___0.3682.2 = 600 + ___ + 2 + ___

decimals

74.2 = 70 + ___ + 0.24411.5 = ____ + 10 + 1 + 0.5400287.3 = 200 + 80 + 7 + ___0.3682.2 = 600 + ___ + 2 + ___80 and 0.2