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CanadaON
Grade 7

1.03 Partition numbers

Worksheet
Place value
1

Find the place value of:

a

3 in 8\,385\,641

b

6 in 26\,545\,423

c

5 in 1\,852\,700

d

2 in 27\,937\,100

2

Write each of the following in numerical form:

a

905 ten thousands and 26 tens.

b

2 millions, 83 ten thousands, 6 hundreds and 54 units.

3

Find the value of the following:

a

1000 hundreds

b

100 ten thousands

c

1000 ones

d

100 tens

4

Write the number shown in the following place value tables as a single number:

a
MillionsTen ThousandsHundredsTens
4956
b
MillionsHundred ThousandsTen ThousandsHundredsTensUnits
752936
5

Find the numerical value of:

a

6 in the following numbers:

i

3\,581\,163

ii

6\,115\,338

iii
6\,512\,734
iv
7\,264\,531
b

2 in the following numbers:

i
1\,545\,352
ii
3\,525\,154
iii

2\,445\,153

iv

1\,553\,424

c

7 in the following numbers:

i

2\,586\,735

ii

5\,657\,238

iii

7\,586\,935

iv

1\,674\,136

d

9 in the following numbers:

i

4\,986\,111

ii

1\,691\,418

iii

1\,869\,662

iv

29\,641\,418

6

Consider the number expanded using words below:

7 \, \text{millions}, 2 \,\text{hundred thousands}, 8 \, \text{ten thousands}, 3 \, \text{thousands}, 5 \, \text{hundreds}, 9 \, \text{tens} \text{ and } 4 \, \text{units}
a

What is the value of the ten thousands?

b

What is the value of the millions?

c

What is the value of the hundred thousands?

d

What is the value of the millions in the number 6\,936\,850?

Partition of numbers
7

Express the following numbers in expanded form:

a
5\,897\,134
b
5\,009\,003
c
9\,870\,000
d
7\,500\,308
e
2\,975\,846
8

Explain how to write the number 12\,500 in expanded form.

9

Express the following as a single number:

a
4\,000\,000 + 200\,000 + 40\,000 + 7000 + 800 + 80 + 1
b
3\,000\,000 + 20\,000 + 100 + 70 + 8
c
1\,000\,000 + 6000 + 500 + 10
10

Use partitioning to fill in the missing number:

a
7\,719\,346 = 7\,000\,000 + ⬚
b
3\,944\,862 = ⬚ + 944\,862
c
8\,384\,157 = 8\,300\,000 + ⬚
d
3\,665\,314 = 3\,660\,314 + ⬚
e
3\,115\,379 = 3\,115\,300 + ⬚
f
629\,448 = 620\,000 + ⬚
g
9\,601\,003 = 9\,600\,000 + ⬚ + 3
h
8\,222\,999 = 8\,000\,000 + 200\,000 + 20\,000 + ⬚
i
9\,580\,000 = 9\,000\,000 + ⬚
11

Consider the number 111\,258.

a

Use partitioning to complete the following number sentence:

111\,258=110\,000+⬚

b

Use your partitioning from part (a) to calculate:

111\,258 + 110\,000

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Outcomes

7.B1.1

Represent and compare whole numbers up to and including one billion, including in expanded form using powers of ten, and describe various ways they are used in everyday life.

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