The knowledge of the method of Multiplying
whole numbers with vertical presentation
is a prerequisite here. Once you master Multiplying
whole numbers, the methods described here,
are easy to follow.
But remember that, simple things need perfection
and perfection is not a simple thing.
Study the Examples and solve the problems
given in exercise and check with the Answers.
Multiplying Decimals by 10, 100, 1000 etc.
When a decimal number is multiplied by 10, the
decimal point moves to the right by one place.
When a decimal number is multiplied by 100, the
decimal point moves to the right by two places.
When a decimal number is multiplied by 1000, the
decimal point moves to the right by three places.
and so on.
Thus, we observe :
When a decimal number is multiplied by numbers like 10,
100, 1000...., the decimal point in the given decimal
number moves as many places to the right as the number of
zeros in the multiplier. If there are not enough (adequate)
places on the right side, we keep '0' s in those places.
9.62 x 10 = 96.2 ( decimal point shifted 1 place to the right )
1.13 x 10000 = 11300 ( decimal point shifted 4 places to the right )
6.9732 x 1000 = 6973.2 ( decimal point shifted 3 places to the right )
0.01 x 100 = 1 ( decimal point shifted 2 places to the right )
0.999 x 100000 = 99900 ( decimal point shifted 5 places to the right )
and study the explanation given to Example 19, there.
Now,decimal point will be placed 5 places
(as in the multiplying decimals 2 + 3 = 5) from right.
∴ 14.32 x 2.513 = 35.98616 Ans.
Find the products
39.641 x 100
34.754 x 100000
15.05 x 1000
0.08 x 10
0.7 x 10000
63.47 x 8
2.375 x 148
0.235 x 0.137
0.075 x 0.009
For Answers, see at the bottom of the page.
Progressive Learning of Math : Multiplying Decimals
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