positive and negative numbers working on the number line
TRANSCRIPT
Positive and Negative Numbers
Working on the Number Line
Definition
• Positive number – a number greater than zero.
0 1 2 3 4 5 6
Definition
• Negative number – a number less than zero.
0 1 2 3 4 5 6-1-2-3-4-5-6
Definition
• Opposite Numbers – numbers that are the same distance from zero in the opposite direction
0 1 2 3 4 5 6-1-2-3-4-5-6
Definition
• Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero.
7 opposite -7
Negative Numbers Are Used to Measure Temperature
Negative Numbers Are Used to Measure Under Sea Level
0102030
-10-20-30-40-50
Negative Numbers Are Used to Show Debt
Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.
Hint
• If you don’t see a negative or positive sign in front of a number it is positive.
9+
-5 50 10-10
2 7 7 2
-5 50 10-10
9 4 4 9
-5 50 10-10
3 8 8 3
Vocabulary
• Greater than (>) – a symbol used to show numbers greater than another
• Less than (<) – a symbol used to show numbers less than another
• Equals (=) a symbol used to show numbers having the same value
Remember! The hungry alligator always eats the largest number.
How to compare numbers
Line up thenumbers
Compare athighest place value
If numbersare the samego to next digitto the right
12,391 8,97113,762
12,391 8,97113,762
12,391 8,97113,762
1 2 3
Write < > or =
5,931 4,931>
Look at the 5 & 4
Write < > or =
941 951<
Write < > or =
1,252 1,232>
Write < > or =
2,425 2,425=
Write < > or =
12,349 12,449<
Write < > or =
Five thousand 50,000<
Positive and negative integers can be shown on a number line.
Positive integersNegative integers
We can use the number line to compare integers.
For example,
–3–8
–3 > –8
–3 ‘is greater than’ –8
Integers on a number line
Ordering negative numbers
Write the integers –2, 8, 2, –6, –9 and 5 in order from smallest to largest.
We can also use a number line to help us write integers in order.
Look at the position of the integers on the number line:
–9 –6 –2 2 5 8
So, the integers in order are:
–9, –6, –2, 2 , 5, and 8