The method for dividing the decimals by decimals is same as dividing the whole numbers. The decimal on the top of the division line is said to be numerator and the decimal on the below the division line is said to be denominator. The condition for the decimals in the division method should not be zero. Dividing the decimals is in the form of a ? b = c. The decimals representing "a" is said to be dividend. The decimals representing "b" is said to be divisor. The resultant answer is called quotient. Let us see about practice dividing decimals in this article.
Procedure for Practice Dividing Decimals
Step 1:
The divisor can be making into a whole number by multiplying both the divisor and dividend by the same number such as 10, 100, 1000, 10000, etc.
Or else move the decimal point to the right side of the divisor and the dividend by the same number of places.
Step 2:
Put the divisor on the left side of the division bracket and put the dividend inside the division bracket.
Step 3:
Multiply the decimals with a number 10, 100, 1000 according to the places given in the problem to make it as a whole number.
Or else if the divisor having two digits after the decimal point, then move the decimal point two digits after the given number in both the divisor and the dividend.
Step 4:
Continue with the dividing method as for whole numbers and put the decimal point in the quotient exactly as it is in the dividend.
Example Problems for Practice Dividing Decimals
Example 1:
Practice dividing decimals 0.99 by 0.3
Solution:
Solution:
Let us write the given problem 0.99 as dividend and 0.3 as divisor.
0.3)0.99(
Step 1:
Multiply the dividend 0.99 ? 10 = 9.9 or else move the decimal point after one digit to make it as a whole number.
Multiply the divisor 0.3 ? 10 = 3 or else move the decimal point after one digit to make it as a whole number.
Step 2:
Put the divisor on the left of the division bracket and dividend inside the division bracket.
3)9.9(
Step 3:
Continue dividing the decimal as on whole number dividing.
Check whether 3 go into 9 for how many parts and multiply the terms of 3 with 1, 2, 3, etc. The number 3 can go into 9 for 3 times and the remainder is 0. Subtract the product from the dividend and put down the next digit to divide.
3)9.9(3
9
---------------
09
---------------
Step 4:
Check whether the number 3 can go into 9 for how many parts and multiply the terms of 3 with 1, 2, 3, etc. The number 3 can go into 9 for 3 times. Subtract the product from the dividend above.
3)9.9(3
9
---------------
09
09
---------------
0
---------------
The decimal appoint can be put as same as in the dividend. In dividend it is before one digit likewise put the decimal point in the divisor as 3.3.
The solution for dividing 0.99 by 0.3 is 3.3.
Example 2:
Practice dividing decimals 0.9846 by 0.18
Solution:
Let us write the given problem 0.9846 as dividend and 0.18 as divisor.
0.18)0.9846(
Step 1:
Multiply the dividend 0.9846 ? 100 = 98.46 or else move the decimal point after two digits to make it as a whole number.
Multiply the divisor 0.18 ? 100 = 18 or else move the decimal point after two digits to make it as a whole number.
Step 2:
Put the divisor on the left of the division bracket and dividend inside the division bracket.
18)98.46(
Step 3:
Continue dividing the decimal as on whole number dividing.
Check whether 18 go into 98 for how many parts and multiply the terms of 18 with 1, 2, 3, etc. The number 18 can go into 98 for 5 times and the remainder is 8. Subtract the product from the dividend and put down the next digit to divide.
18)98.46(5
90
---------------
84
----------------
Step 4:
Check whether the number 18 can go into 84 for how many parts and multiply the terms of 18 with 1, 2, 3, etc. The number 18 can go into 84 for 4 times. Subtract the product from the dividend and put down the next digit to divide.
18)98.46(54
90
------------------
84
72
-------------------
126
-------------------
Step 5:
Continue with the division at last we got,
18)98.46(547
90
------------------
84
72
-------------------
126
126
-------------------
0
--------------------
The decimal appoint can be put as same as in the dividend. In dividend it is before two digits likewise put the decimal point in the divisor as 5.47.
The solution for dividing 0.9846 by 0.18 is 5.47.
More Problems to Practice in Home
1. Divide 0.63 by 0.9.
Key: 0.7
2. Divide 0.3990 by 0.14.
Key: 2.85
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