52 ÷ 4: each pile gets one ten and three ones, 13.
The big ideaShare the tens, trade a leftover ten for ten ones, then share the ones.
How it works
Share the tens first, one at a time, round and round.
If a ten is left over, trade it down for ten ones. It is the trade in reverse, and nothing is lost.
Then share the ones. The share for one pile is the answer.
Check by multiplying back.
52 beads to start: five tens and two ones.The plan for every sum.
Example 1: 52 ÷ 4, a ten traded down
52 is 5 tens and 2 ones. Share the tens: one ten to each of the 4 piles.
One ten is left over. Trade it down for ten ones: now there are 12 ones.
Share the 12 ones: 3 to each pile.
Each pile has 1 ten and 3 ones: 52 ÷ 4 = 13
Check: 4 × 13 = 52
One pile of 52 ÷ 4.
Example 2: 84 ÷ 4, no ten left over
84 is 8 tens and 4 ones.
Share the 8 tens among 4 piles: 2 tens each, and none are left over.
Share the 4 ones: 1 each.
Each pile has 2 tens and 1 one: 84 ÷ 4 = 21
Check: 4 × 21 = 84
One pile of 84 ÷ 4.
Example 3: 72 ÷ 3, one ten traded down
72 is 7 tens and 2 ones. Share the tens among 3 piles: 2 tens each.
That uses 6 tens, so 1 ten is left. Trade it down for ten ones.
Ten ones and the 2 ones make 12 ones. Share them: 4 to each pile.
Each pile has 2 tens and 4 ones: 72 ÷ 3 = 24
Check: 3 × 24 = 72
One pile of 72 ÷ 3.
Example 4: 96 ÷ 6, three tens traded down
96 is 9 tens and 6 ones. Share the tens among 6 piles: 1 ten each.
That uses 6 tens, so 3 tens are left. Trade them down for 30 ones.
30 ones and the 6 ones make 36 ones. Share them: 6 to each pile.
Each pile has 1 ten and 6 ones: 96 ÷ 6 = 16
Check: 6 × 16 = 96
One pile of 96 ÷ 6.
Words to know
trade down
Swap one ten for ten ones. It is the trade in reverse.
pile
One of the equal shares, like one bracelet's beads.
share
What one pile gets.
multiply back
Check by multiplying the share by the number of piles.
Watch out
A leftover ten is never thrown away: it trades down for ten ones.
Share the tens first, then the ones.
The tens come first in the answer. Two tens and one one is twenty-one, not twelve.
Multiply back to check. If the leftover ten is forgotten, the check shows it.
Try it
What is 68 ÷ 2?
What is 75 ÷ 5?
What is 63 ÷ 3?
After sharing the tens, one ten is left over. What do you do?
Answers: 1. 34 · 2. 15 · 3. 21 · 4. trade it down for ten ones
Try at homeAsk a grown-up to help you share thirty-six blocks or beans between three people. Share the tens first, trade a leftover ten for ten ones, then share the ones. Multiply back to check.
For grown-upsShare thirty-six blocks or beans between three people. Share the tens first (bundle them in tens if you can), trade a leftover ten for ten ones, then share the ones.
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