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2.08 Practical problems with decimal operations

Worksheet
Decimal problems
1

Round the following to the nearest cent:

a

\$34.7691

b

\$64.4725

c

\$254.899

d

\$32.455

e

\$19.8184

f

\$65.386

g

\$573.629

h

\$7.35346

2

Harry buys an item from the school canteen for \$3.20. If he pays for it with a five dollar note, how much change will he get back?

3

A customer gives the cashier \$100 to pay for a purchase of \$64.95. How much change should the cashier give the customer?

4

Amy is buying some supplies for the new school year. She buys an exercise book for \$9.55, a pack of pens for \$6.12 and a pencil case for \$6.28. How much does she spend in total?

5

A calculator is 6.3 \text{ in} long. How far will 30 calculators reach if laid end to end?

6

Lisa purchased a car and is paying monthly instalments of \$148.40 to pay it off. If it takes her 60 months to pay it off, how much will she have spent on car repayments in total?

7

James used a calculator to evaluate 3.179 \times 3.96 but forgot to enter the decimal points. The answer he got was 1\,258\,884. What should the answer have been?

8

If Skye earns \$238.42 for working 7 hours, how much does she earn per hour?

9

Three items weighing 2.44 pounds, 9.32 pounds and 5.54 pounds are to be posted but are found to be over the 16.22 pounds limit. By how much does the total weight exceed the limit?

10

A piece of timber 3.32 yards long is cut evenly into smaller pieces each measuring 0.04 yards each. How many of these pieces can be cut?

11

Quentin recorded the following times in the 100 \text{ m} running race over a whole season.

Race12345
Time (seconds)10.5911.0310.4510.3810.63

How much quicker was his fastest time than his slowest time?

12

How many 0.76 pint bottles can be filled from a barrel which holds 83.6 pints?

13

How much would you pay for eight t-shirts if they cost \$46.88 each, and you receive a discount of \$9.47?

14

Neville trains six days a week. Each weekday, he runs 2.4 miles and on Saturday, he runs 4.6 miles. How far does he run in a whole week?

15

At midnight in Alaska, the temperature in Juneau is 36.8\degree \text{F}. Each hour after that the temperature decreases by 2.43\degree \text{F} until the sun comes up. Find the temperature at 2 am.

16

Pauline is making 5 chocolate coated strawberries for her friends. She has 52.5\text{ g} of chocolate which she uses to evenly coat the strawberries.

a

One of the strawberries has a mass of 19\text{ g}. Choose the most reasonable estimate for its mass once it is coated in chocolate:

A

29\text{ g}

B

69\text{ g}

C

9\text{ g}

D

10\text{ g}

b

Calculate the exact mass of the 19\text{ g} strawberry after it is coated in chocolate.

17

William earns \$304.92 for 5 days of work.

a

Choose the most reasonable estimate for how much William earns per day:

A

\$6.10

B

\$610.00

C

\$61.00

D

\$152.50

b

Calculate how much William earns each day.

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Outcomes

MA.6.NSO.2.3

Solve multi-step real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers.

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