Numbers and place value · Ages 10–11
Large numbers and other numerals worksheet
Covers: Reading, writing and comparing large numbers, Thousands, millions and billions, Rounding and estimating large numbers, Chinese capital and traditional numerals
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Large numbers and other numerals worksheet
Numbers and place value · Ages 10–11
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.366,789,637 = × 100,000,000 + × 10,000 +
Fill in each blank
Answer:
2.Put these numbers in order, largest first.
- A. 98,770,227
- B. 98,780,227
- C. 9,253,385
- D. 9,253,285
Write the letters in the right order
Answer:
3.4 million written in digits is
Answer:
4.61,000,000 = million
Answer:
5.7.1 billion = million
Answer:
6.Round 65,841,619 to the nearest ten thousand. About how many times 10,000 is it?
Answer:
7.What number is the Roman numeral in the picture?
Answer:
8.The picture shows a number in everyday Chinese numerals. What number is it?
Answer:
Part B: Choose, or true or false (2 marks each)
9.Which of these numbers is the largest?
- A. 9,461,452
- B. 39,264,820
- C. 38,264,820
- D. 29,017,181
Choose the right answer
Answer:
10.Round 97,174,865 to the nearest hundred thousand. Which is the result?
- A. 97,170,000
- B. 97,000,000
- C. 97,100,000
- D. 97,200,000
Choose the right answer
Answer:
11.384,491,552 rounded to the nearest ten million is 380,000,000.
True or false?
Answer:
12.The Roman numeral in the picture is 14.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.City A has 2,260,000 people and City B has 2,080,000. The difference is how many times 10,000 people?
Working:
Answer:
14.Last year's takings of four companies: A $98,609,361, B $98,418,760, C $98,902,960, D $9,456,118. Which company took the most?
- A. Company D
- B. Company B
- C. Company C
- D. Company A
Choose the right answer
Working:
Answer:
15.A stadium seats 50,000 people and is full for every match. How many matches does it take for 5 million people to come?
Working:
Answer:
16.One video has 4.1 million views and another has 550 thousand. How many thousand more views does the first have?
Working:
Answer:
17.A dictionary has about 2,000 pages, and one page has about 1,350 words. About how many words are in the dictionary?
Working:
Answer:
18.Ka-lok's dad writes a cheque with the amount in Chinese capital numerals, as in the picture. Then he pays $1,200 more in cash. How many dollars does he pay in all?
Working:
Answer:
Show the answers and working
Large numbers and other numerals worksheet: Answers and working
Part A: Working out and filling in
1. 3, 6,678, 9,637
Split 366,789,637 into groups of four from the right: the last four are ones, the next four count lots of 10,000, the rest lots of 100,000,000.
Split into fours from the right: the last four digits are 9637, the next four are 6678 × 10,000, and the rest 3 × 100,000,000.
2. B → A → C → D
Count the digits first and split the eight-digit numbers from the seven-digit ones, then compare within each pair from the highest place.
Sort by digits first: both eight-digit numbers beat both seven-digit ones. With the same digits, compare from the highest place.
3. 4000000
A million is 1 followed by six 0s. What about 4 million?
A million is 1,000,000: 4 million = 4 × 1,000,000 = 4,000,000.
4. 61
A million is 1,000,000, with six zeros. How many lots of 1,000,000 are in 61,000,000?
A million is 1,000,000: 61,000,000 ÷ 1,000,000 = 61, so 61 million.
5. 7100
How many millions make a billion? Multiply 7.1 by that.
A billion is 1,000 million: 7.1 × 1,000 = 7100.
6. 6,584 × 10,000
To the nearest ten thousand, look only at the thousands digit of 65,841,619. What is it?
Look at the thousands digit, 1: 0–4 rounds down, 5–9 adds 1 to the ten thousands. So it is about 6584 × 10,000.
7. 36
Read the letters left to right: X is 10, V is 5, I is 1. Watch for a smaller letter before a bigger one.
X is 10, V is 5, I is 1; a smaller one before a bigger one subtracts, otherwise add: 36.
8. 346691
Split at the ten-thousand character first: how many ten thousands come before it, and how much after?
Split at the ten-thousand character: how many ten thousands before it, how much after it, together: 346691.
Part B: Choose, or true or false
9. B. 39,264,820
Count the digits in each number first: fewer digits means smaller. With the same number, compare from the highest place.
Count digits first: the seven-digit one is smallest. Compare the eight-digit ones from the ten millions down: 39,264,820 is largest.
10. D. 97,200,000
To the nearest hundred thousand, look only at the ten thousands digit of 97,174,865. What is it?
Look at the ten thousands digit: 7 ≥ 5, so add 1 to the hundred thousands and zero the rest: 97,200,000.
11. True
Look at the millions digit of 384,491,552, round it yourself, then compare with 380,000,000.
Look at the millions digit, 4: rounded, it is 380,000,000.
12. False
Read the Roman numeral yourself first: an I before V or X subtracts, after it adds. Then compare with 14.
An I before V or X subtracts; after it, adds: the picture is 16.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 18 × 10,000
Write each population as a number of 10,000s first by dropping the last four zeros, then subtract.
A is 226 × 10,000 and B is 208 × 10,000; the bigger less the smaller: 18 × 10,000.
14. C. Company C
Count each number's digits first and rule out the shortest; compare the rest from the highest place down.
D has only seven digits. A, B and C match in the ten millions and millions; compare on down: the largest is 98,902,960.
15. 100 matches
Write 5 million in digits first, then see how many lots of 50,000 it holds.
5 million = 5,000,000; 5,000,000 ÷ 50,000 = 100 matches.
16. 3550 thousand
The two counts use different units. Turn 4.1 million into thousands first, then compare.
A million is 1,000 thousand, so 4.1 million = 4100 thousand; 4100 − 550 = 3550 thousand.
17. 2,700,000 words
About 1,350 words a page and about 2,000 pages, each page much the same. How can you estimate the total?
About 1,350 a page, 2,000 pages: 1,350 × 2,000 = 2,700,000.
18. 5,999 dollars
Read the cheque's amount first: each unit character after a capital digit tells you its place.
The cheque is for $4,799; add $1,200: $5,999.
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