Multiplying and dividing decimals
[Pages:13]Multiplying and Dividing Decimals
A key component to improving success on the GCSE Non-Calculator Exam!
On a calculator...
? 67 x 423 = ? 67 x 42.3 = ? 67 x 4.23 = ? 67 x 0.423 = ? What do you notice? ? Using the same digits can you find another
multiplication that gives the same answer as 67 x 4.23? ? Can you find another? And another?
Now without a calculator
39 x 8 = 312
Without using a calculator, write down the answers to these multiplications:
(i) 3.9 x 8 =
(ii) 39 x 0.8 =
(iii) 0.39 x 8 =
(v) 0.39 x 0.8 =
37 x 56 = 2072
Without using a calculator, write down the answers to these multiplications:
(i) 3.7 x 56 =
(ii) 37 x 5.6 =
(iii) 0.37 x 56 =
(v) 0.37 x 5.6 =
(iv) 3.7 x 5.6 =
(vi) 0.37 x 0.56 =
Multiplying Decimals
E.G.1 8 x 0.7
1. 8 x 7 = 56 2. 7 is 10 x bigger that 0.7, so 56 is 10 x too big 3. Divide 56 by 10
8 x 0.7 = 5.6
Multiplying Decimals
E.G.2 8.3 x 3.4
1. 83 x 34 = 2822 (I used the grid method, you can use
which ever method you prefer ? so long as it gets the right
answer!!) 2. 83 is 10 x bigger that 8.3 and 34 is 10 x bigger
than 3.4 so 2822 is 100 x too big 3. Divide 2822 by 100
8.3 x 3.4 = 28.22
Questions ? show all of your working out
a) 0.47 x 6
i) 9.6 x 0.09
b) 4.8 x 4
j) 4.8 x 0.25
c) 7 x 1.04
k) 11.3 x 3.12
d) 1.32 x 0.5
l) 21 x 1.45
e) 2.1 x 1.8
m) 9.85 x 1.67
f) 9.3 x 1.5
n) 0.57 x 0.342
g) 8.2 x 1.6
o) 0.23 x 7.85
h) 3.2 x 0.14
p) 15 .3 x 1.564
Questions ? show all of your working out
a) 0.47 x 6 = 2.82 b) 4.8 x 4 = 19.2 c) 7 x 1.04 = 7.28 d) 1.32 x 0.5 = 0.66 e) 2.1 x 1.8 = 3.78 f) 9.3 x 1.5 = 13.95 g) 8.2 x 1.6 = 13.12 h) 3.2 x 0.14 = 0.448
i) 9.6 x 0.09 = 0.864 j) 4.8 x 0.25 = 1.2 k) 11.3 x 3.12 = 35.256 l) 21 x 1.45 = 30.45 m) 9.85 x 1.67 = 16.4495 n) 0.57 x 0.342 = 0.19494 o) 0.23 x 7.85 = 1.8055 p) 15 .3 x 1.564 = 23.9292
On a calculator
? 420 ? 70 = ? 42 ? 7 = ? 4.2 ? 0.7 = ? 0.42 ? 0.07 = ? What do you notice?
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