Numbers and place value · Ages 10–11

Thousands, millions and billions worksheet

Part of: Large numbers and other numerals

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Numbers and place value · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

13.Here are the populations of four cities. Which city has the most people?
- A. City C: 2,600 thousand
- B. City A: 3.8 million
- C. City B: 1,378,000
- D. City D: 4.8 million
Choose the right answer
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Answer:
14.A stadium seats 40,000 people and is full for every match. How many matches does it take for 5 million people to come?
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15.About 7,000,000 people live in Hong Kong. About how many million is that?
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16.London has about 9.4 million people. How many times 10,000 people is that?
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17.One video has 2.9 million views and another has 150 thousand. How many thousand more views does the first have?
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18.London has about 9.6 million people. How many times 10,000 people is that?
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Show the answers and working

Thousands, millions and billions worksheet: Answers and working

1. 8000000
A million is 1 followed by six 0s. What about 8 million?
A million is 1,000,000: 8 million = 8 × 1,000,000 = 8,000,000.
2. 80
A million is 1,000,000, with six zeros. How many lots of 1,000,000 are in 80,000,000?
A million is 1,000,000: 80,000,000 ÷ 1,000,000 = 80, so 80 million.
3. 6000000
A million is 1 followed by six 0s. What about 6 million?
A million is 1,000,000: 6 million = 6 × 1,000,000 = 6,000,000.
4. 4100
How many millions make a billion? Multiply 4.1 by that.
A billion is 1,000 million: 4.1 × 1,000 = 4100.
5. 9.2, 920
Divide 9,200,000 by 1,000,000 for the millions; then think how many lots of 10,000 make a million.
9,200,000 ÷ 1,000,000 = 9.2, and 9,200,000 ÷ 10,000 = 920: a million is 100 × 10,000.
6. 4000
How many millions make a billion? Multiply 4 by that.
A billion is 1,000 million: 4 × 1,000 = 4000.
7. 3.5, 350
Divide 3,500,000 by 1,000,000 for the millions; then think how many lots of 10,000 make a million.
3,500,000 ÷ 1,000,000 = 3.5, and 3,500,000 ÷ 10,000 = 350: a million is 100 × 10,000.
8. C → A → D → B
The units differ, so don't just compare the numbers in front. Write them all in digits, then count the digits.
Write them all in digits and count: 1 billion has ten digits, 79 million eight, 1,325,000 seven and 330 thousand only six.

9. A. 7,800,000
A million is 1,000,000. Think how many digits 7.8 × 1,000,000 has.
A million is 1,000,000: 7.8 × 1,000,000 = 7,800,000.
10. False
Turn 4 billion into millions first (a billion is 1,000 million), then compare with 2,000 million.
A billion is 1,000 million, so 4 billion = 4,000 million; compare that with 2,000 million.
11. A. 4,400,000
A million is 1,000,000. Think how many digits 4.4 × 1,000,000 has.
A million is 1,000,000: 4.4 × 1,000,000 = 4,400,000.
12. False
Turn 9 billion into millions first (a billion is 1,000 million), then compare with 8,000 million.
A billion is 1,000 million, so 9 billion = 9,000 million; compare that with 8,000 million.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. D. City D: 4.8 million
The four populations are written in different ways. Write them all in digits first, then count digits and compare.
All in digits: A 3,800,000, B 1,378,000, C 2,600,000, D 4,800,000. The most is 4,800,000.
14. 125 matches
Write 5 million in digits first, then see how many lots of 40,000 it holds.
5 million = 5,000,000; 5,000,000 ÷ 40,000 = 125 matches.
15. 7 million
A million is 1,000,000. About how many lots of 1,000,000 are in 7,000,000?
7,000,000 ÷ 1,000,000 = 7: about 7 million.
16. 940 × 10,000
How many lots of 10,000 make a million? Multiply 9.4 by that.
A million is 100 × 10,000: 9.4 × 100 = 940.
17. 2750 thousand
The two counts use different units. Turn 2.9 million into thousands first, then compare.
A million is 1,000 thousand, so 2.9 million = 2900 thousand; 2900 − 150 = 2750 thousand.
18. 960 × 10,000
How many lots of 10,000 make a million? Multiply 9.6 by that.
A million is 100 × 10,000: 9.6 × 100 = 960.

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