Divide the following decimal numbers:
a) [tex]$4.56 \div 0.0456=100$[/tex]
b) [tex]$134.78 \div 0.4=$[/tex]
c) [tex]$0.0056 \div 0.07=0.08$[/tex]
d) [tex]$0.0232 \div 0.8$[/tex]
Answer (2)
Divide 134.78 by 0.4 to get 336.95 .
Divide 0.0232 by 0.8 to get 0.029 .
The results of the divisions are:
134.78 ÷ 0.4 = 336.95
0.0232 ÷ 0.8 = 0.029
Therefore, the answers are 336.95 and 0.029 .
Explanation
Problem Analysis We need to divide the given decimal numbers. Let's start with part (b) and then move to part (d).
Calculating Part (b) For part (b), we have 134.78 ÷ 0.4 . Performing this division, we get 134.78 ÷ 0.4 = 336.95 .
Calculating Part (d) For part (d), we have 0.0232 ÷ 0.8 . Performing this division, we get 0.0232 ÷ 0.8 = 0.029 .
Final Answer Therefore, the results of the divisions are: (b) 134.78 ÷ 0.4 = 336.95 (d) 0.0232 ÷ 0.8 = 0.029
Examples
Understanding decimal division is crucial in everyday scenarios, such as splitting a restaurant bill or calculating unit prices while shopping. For instance, if a group of friends has a bill of $134.78 and they decide to split it equally among 4 people, each person would owe $336.95 \div 4 = $84.2375. Similarly, if you want to determine the price per ounce of a product that costs $0.0232 for 0.8 ounces, you would divide $0.0232 by 0.8 to find the unit price, which is $0.029 per ounce. These calculations help in making informed decisions and managing finances effectively.
The results of the decimal divisions are: 4.56 ÷ 0.0456 = 100 , 134.78 ÷ 0.4 = 336.95 , 0.0056 ÷ 0.07 = 0.08 , and 0.0232 ÷ 0.8 = 0.029 .
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