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Abacus · Ages 7+ · Set A
Open the hundred
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A
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Goal: 15 min
Score/ 13
Remember: Open the hundred, open a ten, then take away. One hundred can lend to anyone.

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Read the story, then answer.

The long strandBen made a long strand of beads to sell at the fair. It held 100 beads, threaded in ten groups of ten. Mr. Kato wanted 46 beads for a necklace. Ben snipped four groups of ten off the strand, and that made forty beads. Mr. Kato still needed six more, but every group was a full ten. There were no loose beads at all! So Ben unthreaded one group, and out came ten loose beads. Six went to Mr. Kato, and four loose beads were left. Five groups of ten and four loose beads stayed on the strand.
1
Mr. Kato wants 46 beads from the strand of 100. How many beads are left?
2
How many groups of ten were on the strand at the start?
3
The strand had loose beads at the start.
TrueFalse
4
One hundred is the same as nine tens and ten ones.
TrueFalse

On the frame

Open the hundred, then open a ten, then take away.

5
This frame shows 100. Which row do you open first?
the tens rowthe ones rowthe hundreds row
6
The hundred is open and the tens row is full. What number is this?
101001000
7
The frame shows 100. Take away 28. 100 - 28 =
8
100 - 65 =
9
100 - 73 =
10
Join each take away to its answer.
  1. 1100 - 46
  2. 2100 - 38
  3. 3100 - 85
  4. 4100 - 4
  • A54
  • B15
  • C96
  • D62

Check, order and stretch

11
100 - 46 = 64.
TrueFalse
12
Number the steps for taking from 100.
  • Open one ten so the ones row fills
  • Take away the tens, then the ones
  • Put 100 on the frame
  • Open the hundred so the tens row fills
13
Mr. Kato takes 46 and Zoe takes 29. 100 - 46 - 29 =
14
Draw the beads that stay on the frame for 100 - 46.
15
Say why a hundred can be nine tens and ten ones.
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Answer key · Set A
Open the hundred
154 100 take away 46 leaves 5 groups of ten and 4 loose beads: 54.
210 One hundred is ten groups of ten.
3False Every group was a full ten, so Ben had to unthread one group to get loose beads.
4True Take one ten from 100 and cut it into ten ones: 9 tens and 10 ones still make 100.
5the hundreds row The hundred is the one bead on the top row. Open it first, then open a ten.
6100 Ten tens still make one hundred. Nothing was lost.
772 Open the hundred, then open a ten: 9 tens and 10 ones. Take away 2 tens and 8 ones: 7 tens and 2 ones.
835 9 tens take away 6 tens leaves 3 tens. 10 ones take away 5 ones leaves 5 ones.
927 9 tens take away 7 tens leaves 2 tens. 10 ones take away 3 ones leaves 7 ones.
101-A, 2-D, 3-B, 4-C Check each pair by adding back: the answer and the number taken make 100.
11False Check by adding back: 64 + 46 = 110, not 100. The answer is 54.
123, 4, 1, 2 Open the hundred, then a ten, then take away.
1325 100 - 46 = 54. Then 54 - 29 = 25.
15Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.