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Adding Two Negatives

Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 18 of 60.

What is -5 + (-3)? Start at -5 on the number line. Adding a negative number walks you to the left, so three more steps left lands on -8. The sizes combine, 5 and 3 make 8, and the answer keeps the minus sign.

Number line from -10 to 2 with -8, -5 and 0 marked

From -5, three steps left lands on -8.

Why does the sum stay negative? Think of money owed. Owing 5 dollars and then owing 3 more means you owe 8. Nothing positive arrived to pull you back toward zero, so you only moved further below it.

Adding a negative is the same as taking away its size: -5 + (-3) and -5 - 3 both land on -8. Books and calculators often write it the short way, -5 - 3, so read that as two negative numbers being combined.

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Challenge

Work out -9 + (-14). Type the result.

Try it yourself

-9 + (-14)

Simplify the expression

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