Integers · Divide · 7.3

Multiply & divide drill.

Multiplication and division share one sign rule: same signs → positive, different signs → negative. Drill both until choosing the sign is automatic.

01 / THE IDEA

See it work.

Watch the method

Multiply & divide drill

Decide the size, then the sign — every time.

1 / 2
−7×8-7 \times 8
1

Multiply the sizes

Ignore the signs first: 7 × 8 = 56.

7×8=567 × 8 = 56
2

Decide the sign

Different signs → the answer is negative.

(−7)×8=−56(-7) × 8 = -56
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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— / WHY IT WORKS

The idea underneath.

Automatic signs

Whether multiplying or dividing, count the signs: like signs give +, unlike give −.

Why it works

Same → plus, different → minus.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Evaluate 6 × -3

1

Multiply the sizes

Ignore the signs first: 6 × 3 = 18. 6 × 3 = 18

2

Decide the sign

Different signs → the answer is negative. 6 × (-3) = -18

EX 2medium

Evaluate 9 × -2

1

Multiply the sizes

Ignore the signs first: 9 × 2 = 18. 9 × 2 = 18

2

Decide the sign

Different signs → the answer is negative. 9 × (-2) = -18

EX 3hard

Evaluate 6 × -3

1

Multiply the sizes

Ignore the signs first: 6 × 3 = 18. 6 × 3 = 18

2

Decide the sign

Different signs → the answer is negative. 6 × (-3) = -18

04 / COMMON TRAPS

Where students slip.

Trap

Slowing down to re-derive the rule.

Fix

Like signs +, unlike −, every time.

Trap

Mixing the rule with the addition rule.

Fix

Adding compares sizes; multiplying/dividing counts 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

Evaluate 6 × -3

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
C2

Evaluate -12 × 5

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
C3

Evaluate -4 × 4

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
C4

Evaluate 12 × -5

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
Apply

Apply (4)

A1

Evaluate 9 × -2

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
A2

Evaluate -7 × 9

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
A3

Evaluate -2 × 4

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
A4

Evaluate -5 × 7

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
Extension

Extension (4)

E1

Evaluate 6 × -3

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
E2

Evaluate 4 × -4

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
E3

Evaluate -1 × 5

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.
E4

Evaluate -5 × 3

Need a hint?
  • Find the size first.
  • Like signs → +, unlike → −.