Decimals and percentages · Ages 11–12
Dividing to an approximate answer worksheet
Part of: Dividing decimals; fractions to decimals
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Dividing to an approximate answer worksheet
Decimals and percentages · Ages 11–12
Numsprite
numsprite.com
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.What is 3.49 to 1 decimal place?
Answer:
2.89 ÷ 6 = (to 1 decimal place)
Answer:
3.What is 5.26 to 1 decimal place?
Answer:
4.What is 40.1 ÷ 0.3 to the nearest whole number?
Answer:
5.7.6 ÷ 7 = (to 2 decimal places)
Answer:
6.What is 6.7 ÷ 0.6 to the nearest whole number?
Answer:
7.9.7 ÷ 9 = (to 2 decimal places)
Answer:
8.What is 1.7 ÷ 1.1 to the nearest tenth?
Answer:
9.What is 4.8 ÷ 0.7 to the nearest tenth?
Answer:
Part B: Choose, or true or false (2 marks each)
10.Which is 87 ÷ 13 to 1 decimal place?
- A. 6.6
- B. 7
- C. 6.7
- D. 6.69
Choose the right answer
Answer:
11.4.3 ÷ 6 to 2 decimal places is 0.71.
True or false?
Answer:
12.9.5 ÷ 7 to 2 decimal places is 1.36.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.9 people share the cost of a $147 present equally. To 1 decimal place, about how much does each pay?
Working:
Answer:
14.12 L of juice is poured into bottles that hold at most 0.7 L each. What is the fewest bottles that will hold all the juice?
Working:
Answer:
15.Ka-yan has 18.5 m of ribbon, and each bow takes 0.35 m. What is the greatest number of bows Ka-yan can make?
Working:
Answer:
16.A 25 kg bag of rice lasts a family 11 days. To 1 decimal place, about how many kilograms do they eat a day?
Working:
Answer:
17.A box of 3 water bottles costs $68. To 2 decimal places, about how much is each one?
Working:
Answer:
18.8 L of juice is poured into bottles that hold at most 0.7 L each. What is the fewest bottles that will hold all the juice?
Working:
Answer:
Show the answers and working
Dividing to an approximate answer worksheet: Answers and working
Part A: Working out and filling in
1. 3.5
For 1 decimal place, look only at the second decimal digit.
Look at the second decimal digit, 9: 4 or less, drop it; 5 or more, round up. So 3.49 to 1 decimal place is 3.5.
2. 14.8
Divide 89 ÷ 6 to the second decimal place, then look at that digit.
Divide to the second decimal place, then look at it: 4 or less, drop it; 5 or more, round up. That gives 14.8.
3. 5.3
For 1 decimal place, look only at the second decimal digit.
Look at the second decimal digit, 6: 4 or less, drop it; 5 or more, round up. So 5.26 to 1 decimal place is 5.3.
4. 134
The divisor is a decimal, so multiply both by 10: 401 ÷ 3. Then divide to the first decimal place.
Make the divisor whole: 401 ÷ 3; divide to the first decimal place, then round to a whole number: 134.
5. 1.09
For 2 decimal places, divide 7.6 ÷ 7 to the third place, then look at that digit.
Divide to the third decimal place, then round to the second: 1.09.
6. 11
The divisor is a decimal, so multiply both by 10: 67 ÷ 6. Then divide to the first decimal place.
Make the divisor whole: 67 ÷ 6; divide to the first decimal place, then round to a whole number: 11.
7. 1.08
For 2 decimal places, divide 9.7 ÷ 9 to the third place, then look at that digit.
Divide to the third decimal place, then round to the second: 1.08.
8. 1.5
The tenths are the first decimal place. Write it as 17 ÷ 11 and divide to the second place.
The tenths are the first decimal place: divide 17 ÷ 11 to the second place, then round: 1.5.
9. 6.9
The tenths are the first decimal place. Write it as 48 ÷ 7 and divide to the second place.
The tenths are the first decimal place: divide 48 ÷ 7 to the second place, then round: 6.9.
Part B: Choose, or true or false
10. C. 6.7
Divide 87 ÷ 13 to the second decimal place, then let that digit decide: drop it or round up.
Divide to the second decimal place; it is 5 or more, so round up: 6.7.
11. False
Divide 4.3 ÷ 6 to the third place and look at it: drop or round up? Then compare with 0.71.
Divide to the third decimal place; it is 5 or more, so round up: 0.72.
12. True
Divide 9.5 ÷ 7 to the third place and look at it: drop or round up? Then compare with 1.36.
Divide to the third decimal place; it is 5 or more, so round up: 1.36.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 16.3 dollars
Each pays 147 ÷ 9. Divide to the second decimal place, then round.
147 ÷ 9 to the second decimal place, then rounded: about 16.3 dollars.
14. 18 bottles
Work out 12 ÷ 0.7. All the juice must go in, so a bottle that isn't full still counts.
12 ÷ 0.7 is between 17 and 18: 17 bottles won't hold it all, so one more is needed: 18.
15. 52 bows
Work out 18.5 ÷ 0.35. Ribbon left over that won't make a whole bow doesn't count.
18.5 ÷ 0.35 is a little more than 52; what's left isn't enough for another, so 52.
16. 2.3 kg
Each day is 25 ÷ 11. Divide to the second decimal place, then round.
25 ÷ 11 to the second decimal place, then rounded: about 2.3 kg.
17. 22.67 dollars
Each costs 68 ÷ 3. Divide to the third decimal place, then round.
68 ÷ 3 to the third decimal place, then rounded: about 22.67 dollars.
18. 12 bottles
Work out 8 ÷ 0.7. All the juice must go in, so a bottle that isn't full still counts.
8 ÷ 0.7 is between 11 and 12: 11 bottles won't hold it all, so one more is needed: 12.
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