How to divide 60 by 0.5317 in step by step explanation
The Correct Answer and Explanation is:
To divide 60 by 0.5317 step by step, follow these steps:
Step-by-Step Explanation:
Step 1: Understand the problem
We are dividing 60 by 0.5317, which is written as:60÷0.531760 \div 0.531760÷0.5317
This is the same as finding out how many times 0.5317 fits into 60.
Step 2: Convert the divisor into a whole number
It is easier to divide by whole numbers, so we eliminate the decimal from 0.5317. Since 0.5317 has four decimal places, multiply both the dividend and the divisor by 10,000:60×10,000=600,0000.5317×10,000=5,31760 \times 10{,}000 = 600{,}000 \\ 0.5317 \times 10{,}000 = 5{,}31760×10,000=600,0000.5317×10,000=5,317
Now the new division problem is:600,000÷5,317600{,}000 \div 5{,}317600,000÷5,317
Step 3: Perform long division
Now divide 600,000 by 5,317:600,000÷5,317≈112.82600{,}000 \div 5{,}317 \approx 112.82600,000÷5,317≈112.82
You can use a calculator to get a more accurate answer, but this is the correct result to two decimal places.
Final Answer:
60÷0.5317≈112.8260 \div 0.5317 \approx 112.8260÷0.5317≈112.82
Explanation:
Dividing a number by a decimal may seem confusing at first, but it becomes much simpler when you eliminate the decimal by multiplying both numbers by a power of ten. In this case, since the number 0.5317 has four digits after the decimal point, we multiply both 60 and 0.5317 by 10,000. This gives us a new problem: 600,000 divided by 5,317. This step does not change the value of the expression because we are scaling both numbers equally.
Once the decimal has been removed from the divisor, we can use regular long division. By dividing 600,000 by 5,317, we find that 5,317 fits into 600,000 approximately 112.82 times. This means that 60 is about 112.82 times as large as 0.5317.
Understanding this process is important for accurate calculations, especially when dealing with decimals. Dividing by a small decimal often results in a much larger number. In real life, this could apply to problems involving unit pricing, measurements, or financial calculations.
Using a calculator can make the division easier, but knowing how to handle decimals manually helps strengthen your number sense and problem-solving skills. Practicing these steps will improve your accuracy and confidence in dividing decimals.
