Oliver unrolls a long map of the trail on a flat rock.
"The whole trail is 4,836 steps long," he announces.
"I would like to place 4 resting benches, the same distance apart."
"How many steps lie between one bench and the next?"
Bennie studies the number. "Four digits, but the same plan works."
"Share the thousands, then the hundreds, then the rest."
Oliver taps his pocket watch. "Then let us begin, one place at a time."
Split 4,836 into 4,000, 800 and 36.
| ÷ | 4,000 | 800 | 36 |
|---|---|---|---|
| 4 | 1,000 | 200 | 9 |
Add the partial quotients: 1,000 + 200 + 9 = 1,209.
So the benches are 1,209 steps apart.
Check: 4 × 1,209 = 4,836.
Here is 2,345 ÷ 5. Split 2,345 into 2,000, 300 and 45.
| ÷ | 2,000 | 300 | 45 |
|---|---|---|---|
| 5 | 400 | 60 | 9 |
Add: 400 + 60 + 9 = 469. So 2,345 ÷ 5 = 469.
| Sentence | True or false? |
|---|---|
| 4,836 ÷ 4 = 1,209 | ? |
| 2,345 ÷ 5 = 479 | ? |
| 8 × 399 = 3,192 | ? |
| 1,234 ÷ 4 has a remainder of 2. | ? |
Four digits, no problem! Tomorrow Chris tells a story about remainders.