In dividing decimals, we will have the following situations.
i) Dividing whole number by decimal
Problem 1 :
How much money would each person get if $76.50 is divided equally among 9 people?
Solution:
Amount to be shared = 76.50
Number of persons = 9
To find the amount that each person will receive, we will divide 76.50 by 9.
= 76.50 / 9
= $8.5
Problem 2 :
A 10.75 kg tub of ice cream is divided equally among 5 people. How much ice cream does each person receive?
Solution:
Quantity of ice cream = 10.75 kg
Number of persons going to receive = 5
Quantity of ice cream each person gets = 10.75/5
= 2.15 kg
Each person will receive 2.15 kg tub of ice cream.
Problem 3 :
A 3.5 m length of timber is cut into five equal pieces. How long is each piece?
Solution:
Length of timber = 3.5 m
Number of pieces to be cut out = 5
Length of each piece = 3.5/5
= 0.7 m
Each piece is 0.7 m.
Problem 4 :
How many 7 kg bags of potatoes can be filled from a bag of potatoes weighing 88.2 kg?
Solution:
Weight of original bag of potatoes = 88.2 kg
Number of bags to be filled with 7 kg weight each = ?
Weight of each smaller bag = 7 kg
Number of bags = 88.2/7
= 12.6
Since the answer represents number of bags, it cannot be decimal. Rounding it as nearest integer, we get 13.
So, 13 bags to be filled.
Problem 5 :
If $96.48 is divided equally among six people, how much does each person receive?
Solution:
Amount to be distributed = $96.48
Number of persons going to receive = 6
Amount received by each person = 96.48/6
= $16.08
So, each person will receive $16.08.
Problem 6 :
Share $5885.25 equally amongst 5 people. How much does each person get?
Solution :
Amount to be shared = $5885.25
Number of persons going to receive = 5
Share of each person = 5885.25 / 5
= $1177.05
Each person will get an amount of $1177.05.
Problem 7 :
How much does each person get if $82.40 is divided equally between four people?
Solution :
Amount to be shared = $82.40
Number of persons going to receive = 4
Share of each person = 82.40 / 4
= $20.6
Each person will get an amount of $20.6.
Write the divisor to complete the equation:
Problem 8 :
409.6 ÷ __ = 4.096
Solution :
Considering the answer, the decimal is moved two digits towards the left. The divisor should be 10^{n}.
n is the number of digits moved. Then n = 2.
So, the required divisor is 100.
Problem 9 :
3.512 ÷ __ = 0.003512
Solution :
Considering the answer, the decimal is moved two digits towards the left. The divisor should be 10^{n}.
n is the number of digits moved. Then n = 3.
So, the required divisor is 1000.
Problem 10 :
If $107.25 is shared equally between 13 people, how much does each receive?
Solution:
Amount to be shared = $107.25
Number of persons going to receive = 13
Share of each person = 107.25 / 13
= $8.25
Each person will get an amount of $8.25
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM