# 3.08 Decimals in the real world

Worksheet
Applications
1

Round the following to the nearest cent:

a

\$34.7691 b \$64.4725

c

\$254.899 d \$32.455

2

Round the following to the nearest five cents:

a

\$27.82 b \$64.86

c

\$34.89 d \$57.54

e

\$227.02 f \$634.67

g

\$1024.98 h \$21.94

3

Harry buys an item from the school canteen for \$3.20. If he pays for it with a five dollar bill, how much change will he get back? 4 A customer gives the cashier \$100 to pay for a purchase of \$64.95. How much change should the cashier give the customer? 5 Amy is buying some supplies for the new school year. She buys a notebook for \$9.55, a pack of pens for \$6.12 and a pencil case for \$6.28. How much does she spend in total?

6

A calculator is 15.9 \text{ cm} long.

a
How far will 30 calculators reach if laid end to end?
b

Convert this length to metres.

7

Lisa purchased a car and is paying monthly installments 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? 8 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? 9 If Skye earns \$238.42 for working 7 hours, how much does she earn per hour?

10

Three items weighing 1.22 \text{ kg}, 4.66 \text { kg} and 2.77 \text{ kg} are to be mailed but are found to be over the 8.11 \text{ kg} limit. By how much does the total weight exceed the limit?

11

A piece of timber 3.32 \text{ m} long is cut evenly into smaller pieces each measuring 0.04 \text { m}. How many of these pieces can be cut?

12

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

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

13

How many 0.38 \text{ L} bottles can be filled from a barrel which holds 41.8 \text{ L}?

14

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

15

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

16

At midnight, the temperature in Ottawa is 24.6 \degree \text{C}. Each hour after that the temperature decreases by 2.34 \degree \text{C} until the sun comes up. Find the temperature at 4 am and explain the process you used.

17

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.

18

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.