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1.06 Calculations with decimals

Worksheet
Decimal calculations
1

Evaluate:

a

46.01 + 0.09

b

7.411 + 6.247

c

12.89 + 34.11

d

36.97 - 21.62

e

8.79 - 6.33

f

0.5 \times 1000

g

0.471 \times 5

h

2.2 \times 4

i

1.2 \times 3.2

j

4.23 \times 2

k

4.8 \times 8

l

2.68 \times 2.31

m

\dfrac{0.005\,34}{0.006}

n

\dfrac{0.247}{0.019}

o

9.2768 \div 2.08

p

56 \div 0.7

q

1.2 \div 0.3

r

420 \div 0.7

s

8.1 \div 0.9

t

393.68 \div 7

u

36.53 \times 63 \div 9

v

6.42 - 8.2 \times 0.7 + 4.67

2

Evaluate 2.270\,46 \div 0.474. Round your answer to two decimal places.

3

For the following expressions:

i

Estimate the answer by rounding both values to the nearest whole number.

ii

Find the answer using a calculator.

iii

Hence, find the difference between the estimate and the actual answer.

iv

Suggest a way to improve the accuracy of your estimate.

a

6.61 + 2.85

b

9.66 - 7.88

c

11.59 \div 4.44

4

For each of the following expressions:

i

Estimate the answer by rounding both values to the nearest whole number.

ii

Find the answer using a calculator. Round your answer to two decimal places.

a

1.29 \times 3.42

b

26.99 \div 8.98

Applications
5

A calculator is 8.9\text{ cm} long. How far will 130 calculators reach if laid end to end? Give your answer in metres.

6

How many pieces of steel, each 4.25\text{ m} long, can be cut from a wire 153\text{ m} long?

7

A piece of cord 2.87\text{ m} long is cut evenly into smaller pieces of 0.07\text{ m} each. How many of these pieces can be cut?

8

Mae earns \$36.43 per hour working as a call center operator. If she works 20.5 hours per week, find her weekly wage.

9

Dave used a calculator to evaluate 6.573 \times 8.03 but forgot to enter the decimal points. The answer he got was 5\,278\,119. What should the answer have been?

10

Maria runs 50.2 \text{ m} in 15 seconds. If she continues running at the same speed, how far can she run in 2 minutes?

11

Sebastian owes \$47.59 to each of his 3 friends. How much money does he owe altogether?

12

Three items weighing 3.41\text{ kg}, 2.58\text{ kg} and 5.79\text{ kg} are to be posted but are too heavy to send. By how much does the total weight exceed the 11.38\text{ kg} limit?

13

At 10 pm, the temperature in Victoria is 16.7\degree \text{C}. Each hour the temperature decreases by 1.87\degree\text{C}. What is the temperature 5 hours later?

14

Christa is creating a 3-minute slide show with pictures from her holiday. Each picture will be displayed for 4.5 seconds.

a

How many seconds are in 3 minutes?

b

How many pictures can she show in 3 minutes?

15

Brad is currently \$18 overdrawn in his account. He knows that he needs to pay a \$61.61 bill from this account tomorrow. How much does he need to add to this account so he can pay his bill tomorrow?

16

A diver is 3.5 metres below the surface of the water. He descends 1.47 metres each second for 3 seconds, then rises 0.46 metres/second for 6 seconds. The level at surface is 0 metres, and 1 metre below is represented by - 1 metres.

a

Find the depth of the diver after 9 seconds.

b

The diver sees a turtle near the surface and needs to get to a depth of 0.35 metres below the surface within 4 seconds to snap the perfect shot. How many metres does he need to rise each second, assuming he will rise at a constant speed?

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Outcomes

F.1

solve practical problems requiring basic number operations

F.2

apply arithmetic operations according to their correct order

F.5

use a calculator for multi-step calculations

F.6

check results of calculations for accuracy

F.8

evaluate decimal fractions to the required number of decimal places

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