Here we see how to multiply decimals by 0.1, 0.01, 0.001,...etc
Instead of converting the given decimal as a fraction which consists of the denominator 10, 100, 1000, .... etc, we can follow the tricks given below.
Problem 1 :
0.09 × 0.1
Solution :
Multiplying the decimal by 0.1 and dividing the same decimal by 10. Both will give the same result.
Since we divide by 10, moving the decimal one digit backward.
= 0.009
Problem 2 :
19.6 × 0.1
Solution :
Multiply the decimal by 0.1 and divide the same decimal by 10.
Both will give the same result.
Since we divide by 10, moving the decimal one digit forward.
= 1.96
Problem 3 :
73.7 × 0.1
Solution :
Multiply the decimal by 0.1 and divide the same decimal by 10.
Both will give the same result.
Since we divide by 10, moving the decimal one digit forward.
= 7.37
Problem 4 :
0.66 × 0.001
Solution :
Multiply the decimal by 0.001 and divide the same decimal by 1000.
Both will give the same result.
Since we divide by 1000, moving the decimal three digit forward.
= 0.00066
Problem 5 :
0.002 × 0.1
Solution :
Multiply the decimal by 0.1 and divide the same decimal by 10.
Both will give the same result.
Since we divide by 10, moving the decimal one digit backward.
= 0.0002
Problem 6 :
8.42 × 0.001
Solution :
Multiply the decimal by 0.001 and divide the same decimal by 1000.
Both will give the same result.
Since we divide by 1000, moving the decimal three digit forward.
= 0.00842
Problem 7 :
0.7 × 0.001
Solution :
Multiply the decimal by 0.001 and divide the same decimal by 1000.
Both will give the same result.
Since we divide by 1000, moving the decimal three digit forward.
= 0.0007
Problem 8 :
0.35 × 0.001
Solution :
Multiply the decimal by 0.001 and divide the same decimal by 1000.
Both will give the same result.
Since we divide by 1000, moving the decimal three digit forward.
= 0.00035
Problem 9 :
0.6 × 0.01
Solution :
Multiply the decimal by 0.01 and divide the same decimal by 100.
Both will give the same result.
Since we divide by 100, moving the decimal two digit forward.
= 0.006
Problem 10 :
8.11 × 0.01
Solution :
Multiply the decimal by 0.01 and divide the same decimal by 100.
Both will give the same result.
Since we divide by 100, moving the decimal ome digit forward.
= 0.0811
Problem 11 :
0.471 × 0.001
Solution :
Multiply the decimal by 0.001 and divide the same decimal by 1000.
Both will give the same result.
Since we divide by 1000, moving the decimal three digit forward.
= 0.000471
Problem 12 :
5.119 × 0.1
Solution :
Multiply the decimal by 0.1 and divide the same decimal by 10.
Both will give the same result.
Since we divide by 10, moving the decimal one digit backward.
= 0.5119
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM