Dividing Decimals

Show your work for each problem.

1.
What is ?
1. a)3.4
2. b)0.32
3. c)32
4. d)3.2
Answer: 3.2
. The decimal point stays in the same relative position: , so .
2.
Calculate
Answer: 2.4
. Since , and there's one decimal place in 9.6, the answer is 2.4.
3.
Calculate step by step.
Answer: 5.2
1. What is ? 5
2. What is (the tenths)? 2
3. Combine: What is the final answer? 5.2
4.
What is ?
1. a)3.2
2. b)3.5
3. c)3
4. d)35
Answer: 3.5
. We can write and divide: .
5.
Calculate
Answer: 12
. Multiply both by 10 to eliminate the decimal in the divisor.
6.
Calculate using the method of making the divisor whole.
Answer: 12
1. Multiply by 10: 72
2. Multiply by 10: 6
3. Now divide : 12
7.
What is ?
1. a)12
2. b)0.12
3. c)6.5
4. d)3
Answer: 12
. Dividing by 0.5 is the same as multiplying by 2. There are 12 halves in 6.
8.
Calculate
Answer: 63
. We multiply both by 10 to make the divisor whole.
9.
A 4.5 kg bag of rice costs 6.75 euros. What is the price per kilogram?
Answer: 1.5
1. What operation do we need? (divide or multiply) divide
2. Set up the division: price \div weight. What is equal to when we multiply both by 10? 67.5 / 45
3. Calculate the final answer: 1.5
10.
What is ?
1. a)50
2. b)500
3. c)5
4. d)0.5
Answer: 50
. We multiply both by 100 to eliminate decimals.
11.
Calculate
Answer: 5.7
. Divide by : R, then .
12.
Calculate step by step.
Answer: 35
1. How many decimal places does the divisor have? 2
2. What power of 10 should we multiply by? 100
3. What is ? 875
4. What is ? 25
5. Calculate : 35
13.
Five friends share a restaurant bill of 78.50 euros equally. How much does each person pay?
1. a)14.70 euros
2. b)15.70 euros
3. c)1.57 euros
4. d)157.00 euros
Answer: 15.70 euros
euros. Each person pays 15.70 euros.
14.
Calculate
Answer: 120
. Multiply both by 100 to make the divisor whole.
15.
A car travels 156.8 km using 8.4 liters of fuel. What is the fuel efficiency in km per liter?
Answer: 18.67
1. Set up the division: distance \div fuel. What is ? 156.8 / 8.4
2. Multiply both by 10 to eliminate decimals. What is ? 1568 / 84
3. Calculate (round to 2 decimal places): 18.67