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Adding and subtracting rational numbers
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How can you compare the expression 3 - (-10 ) and 10 - (-3)
3 - (-10) is greater because you change the subtraction to addition and add the opposite changing the problem to 3 + 10.
Compared to something or someone else. EX: The distance a submarine is compared to sea level.
 
Relative to
 
Represent
Two numbers whose sum is zero.
 
Zero pair
 
Integers
 
Absolute value
An example that opposes or proves that an idea or claim is incorrect.
 
counterexample
 
claim
 
evidence
A statement that something is true or false, which can be proven with reasons and evidence and can be disproven with counterexamples.
 
Claim
 
Example
 
Evidence
numbers that are greater than 0. They are located to the right of 0 on a horizontal number line and above 0 on a vertical number line.
 
Positive numbers
 
Negative numbers
 
Fractions
 
Decimals
Numbers that are the same distance from 0 on the number line but in opposite direction
 
Opposite numbers
 
Integers
 
Zero pairs
 
Fractions
Numbers that are less than 0. They are located to the left of 0 on a horizontal number line and below 0 on a vertical number line
 
Negative numbers
 
Positive numbers
 
Absolute value
The set of whole numbers and their opposites.
 
Integers
 
Fractions
 
Decimals
 
Positive and negative
a number’s distance from 0 on the number line and is never negative
 
absolute value
 
zero pair
 
opposite number
 
positive number
What is the distance between 6 and -3 on the number line?
9 units
Which of the questions below can be answered using the sum -11 + 9?
At 5:00 a.m., the temperature was -11 degrees Fahrenheit. Four hours later, the temperature was 9 degrees warmer. What was the temperature at 9:00 a.m.?
Does the sum -39 + 81 result in a positive or negative value?
positive
Does the sum 57 + (-73) represent a positive or negative value?
negative
Write an addition expression to represent the diagram. Then, solve it.
2 + (-6) = -4
Which of the diagrams correctly represents 3 + (-5) + (-2)?
diagram A
What is the sum of any number and its opposite?
zero