Integers · Divide · 7.2

Negatives both ways.

A negative divided by a negative is positive (same signs); a negative divided by a positive is negative. −20 ÷ (−5) = 4.

01 / THE IDEA

See it work.

Watch the method

Negatives both ways

−20 ÷ (−5): same signs → positive → 4.

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−20÷(−5)-20 \div (-5)
1

Divide the sizes

Ignore the signs first: 20 ÷ 5 = 4.

20÷5=420 ÷ 5 = 4
2

Decide the sign

Same signs → the answer is positive.

(−20)÷(−5)=4(-20) ÷ (-5) = 4
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type a whole number — negatives allowed, e.g. -7.

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best 0
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— / WHY IT WORKS

The idea underneath.

Both cases

Same signs (−÷− or +÷+) give a positive; different signs give a negative. Divide the sizes either way.

Why it works

Two negatives cancel in division too.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Divide -8 ÷ -2

1

Divide the sizes

Ignore the signs first: 8 ÷ 2 = 4. 8 ÷ 2 = 4

2

Decide the sign

Same signs → the answer is positive. (-8) ÷ (-2) = 4

EX 2medium

Divide -8 ÷ -2

1

Divide the sizes

Ignore the signs first: 8 ÷ 2 = 4. 8 ÷ 2 = 4

2

Decide the sign

Same signs → the answer is positive. (-8) ÷ (-2) = 4

EX 3hard

Divide -16 ÷ -8

1

Divide the sizes

Ignore the signs first: 16 ÷ 8 = 2. 16 ÷ 8 = 2

2

Decide the sign

Same signs → the answer is positive. (-16) ÷ (-8) = 2

04 / COMMON TRAPS

Where students slip.

Trap

Making neg ÷ neg negative.

Fix

Same signs give a positive.

Trap

Mixing up the two cases.

Fix

Match the sign rule to the signs.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Divide -8 ÷ -2

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
C2

Divide -24 ÷ -4

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
C3

Divide -15 ÷ -3

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
C4

Divide -30 ÷ -6

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
Apply

Apply (4)

A1

Divide -8 ÷ -2

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
A2

Divide -12 ÷ -3

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
A3

Divide -72 ÷ -8

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
A4

Divide -18 ÷ -3

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
Extension

Extension (4)

E1

Divide -16 ÷ -8

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
E2

Divide -40 ÷ -8

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
E3

Divide -12 ÷ -2

Need a hint?
  • Same signs → positive.
  • Different signs → negative.
E4

Divide -8 ÷ -2

Need a hint?
  • Same signs → positive.
  • Different signs → negative.