Divide the following decimal numbers:
$4.56 \div 0.0456=$
(b) $134.78 \div 0.4$
Answer (2)
Divide 4.56 by 0.0456 : 4.56 o b re ak ÷ 0.0456 = 100 .
Divide 134.78 by 0.4 : 134.78 o b re ak ÷ 0.4 = 336.95 .
The results of the divisions are 100 and 336.95 .
Explanation
Problem Analysis We are asked to divide two decimal numbers. Let's address each division separately.
Solving Part (a) (a) To divide 4.56 by 0.0456 , we can multiply both numbers by 10000 to eliminate the decimals. This gives us 45600 o b re ak ÷ 456 . Performing this division, we get: 456 45600 = 100
Solving Part (b) (b) To divide 134.78 by 0.4 , we can multiply both numbers by 10 to eliminate the decimal in the divisor. This gives us 1347.8 o b re ak ÷ 4 . Performing this division, we get: 4 1347.8 = 336.95
Final Answer Therefore, the results of the divisions are 100 and 336.95 .
Examples
Understanding division is crucial in everyday scenarios, such as splitting a bill among friends or calculating unit prices while shopping. For instance, if a pizza costs $15.50 and you're splitting it with 4 friends, dividing the total cost by the number of people ( 15.50 o b re ak ÷ 5 ) tells you each person owes $3.10. Similarly, if a 2-liter bottle of soda costs $2.80, dividing the cost by the volume ( 2.80 o b re ak ÷ 2 ) gives you the price per liter, which is $1.40. These basic division skills help in making informed decisions and managing finances effectively.
The division of 4.56 by 0.0456 results in 100 , while dividing 134.78 by 0.4 results in 336.95 . These calculations can be simplified by eliminating decimals. The final answers are 100 and 336.95 , respectively.
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