Sharing it out
A team has −12 after 4 rounds with equal losses. What was each round worth?
Step 1 of 5
- Start at −12.
- Group 1: jump 3 towards zero.
- Group 2: jump 3 more.
- Group 3: jump 3 more.
- Group 4: jump 3 more. 4 groups of 3 reach 0.
Each round was worth −3 points. Dividing by a whole number means sharing into equal groups.
Rule: division follows the same sign rule as multiplying. Same signs give a positive answer. Different signs give a negative answer. Neither number may be 0 for these two rules. You cannot divide by 0. (−12) ÷ 4 asks: what number, taken four times, gives −12?
(−3) × 4 = −12, so (−12) ÷ 4 = −3. Each round cost 3 points.
| Share | Answer | Check |
|---|---|---|
| (−12) ÷ 4 | −3 | (−3) × 4 = −12 |
| 12 ÷ (−4) | −3 | (−3) × (−4) = 12 |
| (−12) ÷ (−4) | 3 | 3 × (−4) = −12 |
| 12 ÷ 4 | 3 | 3 × 4 = 12 |
Tap the answer in the lab. The check multiplies it back.
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