positive and negative numbers working on the number line
TRANSCRIPT
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Positive and Negative Numbers
Working on the Number Line
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Definition
• Positive number – a number greater than zero.
0 1 2 3 4 5 6
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Definition
• Negative number – a number less than zero.
0 1 2 3 4 5 6-1-2-3-4-5-6
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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
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Definition
• Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero.
7 opposite -7
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Negative Numbers Are Used to Measure Temperature
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Negative Numbers Are Used to Measure Under Sea Level
0102030
-10-20-30-40-50
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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.
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Hint
• If you don’t see a negative or positive sign in front of a number it is positive.
9+
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-5 50 10-10
2 7 7 2
-5 50 10-10
9 4 4 9
-5 50 10-10
3 8 8 3
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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
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Remember! The hungry alligator always eats the largest number.
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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
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Write < > or =
5,931 4,931>
Look at the 5 & 4
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Write < > or =
941 951<
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Write < > or =
1,252 1,232>
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Write < > or =
2,425 2,425=
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Write < > or =
12,349 12,449<
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Write < > or =
Five thousand 50,000<
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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
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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