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Calculate the sum of positive and negative integers using a number line for the following problems: a) 4 + (-3) b) 5 + (-7) c) 7 + (-8).

Mathematics

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Answers

3 parts
a
1
b
-2
c
-1

Step-by-step solution

6 steps

Here are the solutions to the problems:

Part a· 2 steps

Calculate 4+(−3)4 + (-3) using a number line

  1. Rewrite the expression.

    Adding a negative number is equivalent to subtracting the number.

    4+(−3)=4−34 + (-3) = 4 - 3

  2. Start at 4 on the number line and move 3 units to the left.

    4−3=14 - 3 = 1

    The answer is 1\boxed{1}.

Part b-2

Calculate 5+(−7)5 + (-7) using a number line

  1. Rewrite the expression.

    5+(−7)=5−75 + (-7) = 5 - 7

  2. Start at 5 on the number line and move 7 units to the left.

    5−7=−25 - 7 = -2

    The answer is −2\boxed{-2}.

Part c-1

Calculate 7+(−8)7 + (-8) using a number line

  1. Rewrite the expression.

    7+(−8)=7−87 + (-8) = 7 - 8

  2. Start at 7 on the number line and move 8 units to the left.

    7−8=−17 - 8 = -1

    The answer is −1\boxed{-1}.

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