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−3 … +5

NUM003 · Numbers & number systems · Classes 6–8

Integers

Integers are the whole numbers and their negatives: …, −3, −2, −1, 0, 1, 2, 3, … On a number line, moving right adds and moving left subtracts.

📐 Formula

a − b = a + (−b); distance between a and b = |a − b|

✏️ Worked example

a = −3, b = 5: −3 + 5 = 2, −3 − 5 = −8, and the distance between them is |−3 − 5| = 8.

🌍 Where it is used

Temperatures below zero, floors below ground, bank balances and heights below sea level.

❓ Quick check

What is −7 + 4?

🏋️ Practice

EasyWhich is greater, −2 or −6?

Answer: −2

MediumThe temperature is −4 °C and rises by 9 °C. What is it now?

Answer: 5 °C

Challenge(−6) − (−10) = ?

Answer: 4