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Partitioning Numbers with Place Value

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Partitioning Numbers with Place Value

Learning focus

WALT: We are learning to partition numbers into hundreds, tens and ones.

Partitioning numbers means splitting a number into its place-value parts.

Hundreds are groups of 100, tens are groups of 10, and ones are single units.

For example: 347 = 300 + 40 + 7.

Helpful support: Use base-10 blocks, bundles of ten straws, or draw a hundreds square, tens sticks and ones dots. Say each part aloud as you work. You may cover the page or use a ruler to keep your place.

Partition and recombine

1. Partition 582 into hundreds, tens and ones.

582 = ______ + ______ + ______

2. Partition 406 into hundreds, tens and ones.

406 = ______ + ______ + ______

3. Complete the missing parts.

a) 731 = 700 + ______ + 1

b) 264 = ______ + 60 + 4

c) 890 = 800 + ______ + ______

4. Recombine the parts to make the whole number.

a) 500 + 20 + 8 = ______

b) 300 + 0 + 6 = ______

c) 700 + 90 + 0 = ______

5. Which partition shows 619? Circle one answer.

600 + 10 + 9

60 + 100 + 9

600 + 90 + 1

6. Show 356 in two different ways. The hundreds, tens and ones can be regrouped.

First way: 356 = ______ + ______ + ______

Second way: 356 = ______ + ______ + ______

7. Show 420 in two different ways.

First way: 420 = ______ + ______ + ______

Second way: 420 = ______ + ______ + ______

8. A class collects 238 cans. Partition 238 into hundreds, tens and ones. How many hundreds, tens and ones are there?
9. A library has 405 books on a trolley. Partition 405. Explain why there are no tens.
10. Extension challenge: Find two different ways to partition 672. Use a part greater than 100 in one of your ways.

Check your thinking

Answer key

1. 582 = 500 + 80 + 2

2. 406 = 400 + 0 + 6

3. a) 30    b) 200    c) 90, 0

4. a) 528    b) 306    c) 790

5. 600 + 10 + 9

6. Answers may include: 300 + 50 + 6; 200 + 150 + 6; 350 + 6 + 0.

7. Answers may include: 400 + 20 + 0; 300 + 120 + 0; 420 + 0 + 0.

8. 238 = 200 + 30 + 8: 2 hundreds, 3 tens and 8 ones.

9. 405 = 400 + 0 + 5: there are no tens because the tens digit is 0.

10. Answers may include: 600 + 70 + 2 and 500 + 170 + 2.

Remember: Read each digit by its place. A zero is still important because it shows that a place has no groups.

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