Chapter 7 Decimals Worksheet - New Century Maths Page 17

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Exercise 7-06
1 Copy and complete each of these statements:
a To multiply by 10, move the decimal point
place to the
.
b To multiply by 100, move the decimal point
places to the
.
c To multiply by 1000, move the decimal point
places to the
.
d To divide by 10, move the decimal point
places to the
.
e To divide by 100, move the decimal point
places to the
.
f To divide by 1000, move the decimal point
places to the
.
2 Copy and complete:
a 46.3 ÷ 10 =
b 507 ÷ 100 =
c 1203 ÷ 1000 =
d 36.4 ÷ 100 =
e 705 ÷ 1000 =
f 3102 ÷ 10 =
g 6.43 ÷ 1000 =
h 64.3 ÷ 1000 =
4.28 ÷ 1000
i
j 66 ÷ 100 =
k 0.31 ÷ 1000 =
0.02 ÷ 10
l
m 24.9 × 100 =
n 0.81 × 10 =
o 37.42 × 1000 =
p 0.416 × 100 =
q 0.81 × 100 =
r 2.192 × 1000 =
s 60 451 × 100 =
t 6.02 × 100 =
u 0.031 × 10 =
3 Evaluate, using the rules you have found:
a 45.213 × 100
b 10.64 × 1000
c 6304 ÷ 100
d 5.98 ÷ 1000
e 847.612 × 100
f 0.0592 × 10
g 36.28 ÷ 100
h 519.4 × 1000
40.075 ÷ 10
i
j 81.348 ÷ 1000
k 502 × 100
0.61 ÷ 100
l
m 0.4 ÷ 1000
n 17.01 × 100
o 12.3 × 10 000
p 66 ÷ 10 000
q 5.2 × 10 ÷ 100
r 14.71 ÷ 100 × 10
4 Evaluate:
a 469 187 ÷ 100 000
b 437.421 ÷ 1000
c 27.43 ÷ 1 million
d 1 200 000 ÷ 1 000 000
e 235 000 137 ÷ 10 000
f 137.429 × 1000 ÷ 10 000
Multiplying decimals
Worksheet
7-04
Estimation and ‘fixing the point’
Where’s the
point?
If you know the result of a whole number multiplication, you can use estimation to work out
the answer to similar decimal multiplications and correctly position the decimal point.
Example 13
1 Given that 17 × 12 = 204, find:
a 1.7 × 12
b 1.7 × 120
Solution
Multiplication
Estimate
Answer
17 × 12
204
(given)
1.7 × 12
2 × 10 = 20
a
20.4
use the digits 204 to make a number near 20
1.7 × 120
2 × 100 = 200
b
204
use the digits 204 to make a number near 200
214
NEW CENTURY MATHS 7

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