1.

a 8
b 400
c 2000
d 4.4
e 3.26
f 0.304

 

2. Round the following to the degree of accuracy stated:  
(a) 16 744 people at a soccer match 16700 (to the nearest hundred people)
(b) A capacity of 3249 litres 3250 (to the nearest ten litres)
(c) A salary of $55,555 $56, 000 (to the nearest thousand dollars)
(d) A measurement of 9.959 metres 9.96 metres (to the nearest centimetre)

3. (a) In the table below, round each number to 1 digit and calculate.

(b) Calculate the answer accurately and round it to 4 significant figures.

 

Calculation

(a) Estimate

(b) Accurate answer

9.1 + 5.7

9 + 6 = 15

9.1 + 5.7 = 14.8

28 x 1.9

30 x 2 = 60

28 x 1.9 = 53.2

(8.4)2

82 = 64

8.4 x 8.4 = 70.56

16.98 − (4.75 + 8.1)

20 − (5 + 8) = 7

16.98 − (4.75 + 8.1) = 4.13

4 .Round off the following numbers to the number of decimal places (d.p.) shown:
(a) 5.19 (to 1 d.p.) = 5.2
(b) 6.498 (to 2 d.p.) = 6.50
(c) 3.093 (to 1 d.p.) = 3.1
(d) 0.2949 (to 3 d.p.) = 0.295
(e) 927.295 (to 1 d.p.) = 927.3
(f) 50.94 (to 0 d.p.) = 51

5. Complete the table, by estimating the cost of each individual item to the nearest dollar and then calculating accurately.

Purchase

Estimated cost

Accurate cost

4 loaves of bread at $2.95 each

4 x $3 = $12

4 x $2.95 = $11.80

2 pies at $1.45c each

2 x $1 = $2

2 x $1.45 = $2.90

7 biscuits at $0.85 cents each

7 x $1 = $7

7 x $0.85 = $5.95

5 cans of drink at $1.75 each

5 x $2 = $10

5 x $1.75 = $8.75

4 packets of chips at $1.45 each

4 x $1 = $4

4 x $1.45 = $5.80

Totals

$35

$35.20