When we multiply decimals by 10n, we have to move the decimal towards the right after n digits.
Consider the example,
0.23 x 1000
Here we have 3 zeroes, so should move the decimal 3 digits towards the right. So, the answer is
0.23 x 1000 = 230
Note :
In the problem above, we can move the decimal only for two digits. For the remaining number of digits, we put 0.
Find :
Problem 1 :
4.3 × 10
Solution :
4.3 × 10 = 43
Since we have only one zero in 10, we have to move the decimal one digit towards the right. So, the answer is 43.
Problem 2 :
8.5 × 1000
Solution :
8.5 × 1000 = 8500
We should move the decimal three digits towards the right, since we see only one digit after the decimal, we put 0 for the remaining number of digits.
Problem 3 :
5 × 106
Solution :
106 = 1000000
5 × 1000000 = 5000000
Problem 4 :
0.6 × 10
Solution :
0.6 × 10
Since it has one zero, we have to move the decimal point to the right of one digit.
0.6 × 10 = 6
Problem 5 :
4.6 × 10
Solution :
4.6 × 10
Since it has one zero, we have to move the decimal point to the right of one digit.
4.6 × 10 = 46
Problem 6 :
0.58 × 100
Solution :
0.58 × 100
Since it has two zeroes, we have to move the decimal point to the right of two digit.
0.58 × 100 = 58
Problem 7 :
3.09 × 100
Solution :
3.09 × 100
Since it has two zeroes, we have to move the decimal point to the right of two digit.
3.09 × 100 = 309
Problem 8 :
2.5 × 100
Solution :
2.5 × 100
Since it has two zeroes, we have to move the decimal point to the right of two digit.
2.5 × 100 = 250
Problem 9 :
0.8 × 100
Solution :
0.8 × 100
Since it has two zeroes, we have to move the decimal point to the right of two digit.
0.8 × 100 = 80
Problem 10 :
3.24 × 100
Solution :
3.24 × 100
Since it has two zeroes, we have to move the decimal point to the right of two digit.
3.24 × 100 = 324
Problem 11 :
0.9 × 1000
Solution :
0.9 × 1000
Since it has three zeroes, we have to move the decimal point to the right of three digit.
0.9 × 1000 = 900
Problem 12 :
0.845 × 1000
Solution :
0.845 × 1000
Since it has three zeroes, we have to move the decimal point to the right of three digit.
0.845 × 1000 = 845
Write the multiplier to complete the equation :
Problem 1 :
5.3 × x = 530
Solution :
5.3 × x = 530
Considering the answer, the decimal is moved 2 digits to the right. So, the required multiplier is 100.
5.3 × 100 = 530
Problem 2 :
0.89 × x = 890
Solution :
0.89 × x = 890
Considering the answer, the decimal is moved 3 digits to the right. So, the required multiplier is 1000.
0.89 × 1000 = 890
Problem 3 :
0.04 × x = 400
Solution :
0.04 × x = 400
Considering the answer, the decimal is moved 4 digits to the right. So, the required multiplier is 10000.
0.04 × 10000 = 400
Problem 4 :
38.094 × x = 3809.4
Solution :
38.094 × x = 3809.4
Considering the answer, the decimal is moved 2 digits to the left. So, the required multiplier is 100.
38.094 × 100 = 3809.4
Problem 5 :
70.4 × x = 704
Solution :
70.4 × x = 704
Considering the answer, the decimal is moved 1 digits to the right. So, the required multiplier is 10.
70.4 × 10 = 704
Problem 6 :
38.69 × x = 386.9
Solution :
38.69 × x = 386.9
Considering the answer, the decimal is moved 1 digits to the left. So, the required multiplier is 10.
38.69 × 10 = 386.9
Problem 7 :
65.871 × x = 6587.1
Solution :
65.871 × x = 6587.1
Considering the answer, the decimal is moved 2 digits to the left. So, the required multiplier is 100.
65.871 × 100 = 6587.1
Problem 8 :
0.0006 × x = 600
Solution :
0.0006 × x = 600
Considering the answer, the decimal is moved 6 digits to the right. So, the required multiplier is 1000000.
0.0006 × 1000000 = 600
Problem 8 :
0.003934 × x = 3.934
Solution :
0.003934 × x = 3.934
Considering the answer, the decimal is moved 6 digits to the right. So, the required multiplier is 1000.
0.003934 × 1000 = 3.934
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM