When two signs tie, take the left one
A chit — a small bill — says 24 ÷ 4 × 2. One order gives 12. The other gives 3.
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Step 1 of 6
- The line: 24 ÷ 4 × 2.
- Left first: 24 ÷ 4 = 6.
- Then 6 × 2 = 12.
- Right first: 4 × 2 = 8.
- Then 24 ÷ 8 = 3.
- Agreed answer: 12.
The rule
× and ÷ are on the same level. So are + and −. Signs on one level have the same rank.
With two signs on one level, the signs cannot decide. Do the left one first. That is the agreed rule.
For 24 ÷ 4 × 2, first 24 ÷ 4 = 6. Then 6 × 2 = 12.
The same is true for + and −. In 50 − 20 + 5, first 50 − 20 = 30. Then 30 + 5 = 35.
| The line | Left first | Right first | Agreed |
|---|---|---|---|
| 24 ÷ 4 × 2 | 12 | 3 | 12 |
| 100 − 30 − 20 | 50 | 90 | 50 |
| 36 ÷ 6 ÷ 3 | 2 | 18 | 2 |
| 2 × 6 ÷ 3 | 4 | 4 | 4 |