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Abacus · Ages 7+ · Set A
Hundreds, tens and ones
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Remember: Add the hundreds, the tens and the ones, each row on its own. A row with no beads counts zero.

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The book driveThe town library had nearly empty shelves, so two schools held a book drive. Mia's school collected 321 books and Ben's school collected 136 books. The librarian wanted to know how many books there were in all. Counting one by one would take all day, so Mia used her counting frame. It had three rows: ones on the bottom, then tens, and hundreds on top. She added the hundreds, then the tens, then the ones, each row on its own. The frame showed four hundreds, five tens and seven ones. Then a third school brought 212 more books.
1
How many books did the two schools collect in all?
2
One bead on the top row of a three-row frame is worth one hundred.
TrueFalse
3
Which frame shows 321 books? The rows are hundreds, tens, ones from the top.
A
B
C
4
3 hundreds and 1 hundred make hundreds.

On the frame

The top row is hundreds, then tens, then ones.

5
What number does this frame show?
669696966
6
The frame shows 352. Add 6 more ones. 352 + 6 =
7
214 + 325 =
8
The tens row starts empty. 302 + 156 =
9
Which frame shows 406? The rows are hundreds, tens, ones from the top.
A
B
C
10
Zero holds the place, so 406 is not the same as 46.
TrueFalse

Fix it and stretch

11
Ben says 143 + 235 = 388. Which row did he get wrong?
the hundreds rowthe ones rowthe tens row
12
Three schools: 123 + 245 + 111 =
13
Draw the beads for 235 on the frame.
14
Say what the zero in 406 does.
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Answer key · Set A
Hundreds, tens and ones
1457 321 and 136 make 457: four hundreds, five tens and seven ones.
2True The top row counts hundreds, the middle row tens and the bottom row ones.
3B 321 is three hundreds, two tens and one one, from the top row down.
44 Three beads and one more bead on the top row make four.
5669 Read the rows from the top: 6 hundreds, 6 tens and 9 ones is 669.
6358 Only the ones row changes: 2 ones and 6 ones make 8 ones.
7539 Hundreds: 2 + 3 = 5. Tens: 1 + 2 = 3. Ones: 4 + 5 = 9.
8458 Zero tens and 5 tens make 5 tens. 3 hundreds and 1 hundred make 4. 2 ones and 6 ones make 8.
9C 406 has no tens, so the middle row is empty. The zero holds the place.
10True Without the zero in the tens place, four hundred six would look like forty-six.
11the tens row Tens: 4 + 3 = 7, not 8. The sum is 378.
12479 Hundreds: 1 + 2 + 1 = 4. Tens: 2 + 4 + 1 = 7. Ones: 3 + 5 + 1 = 9.
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.