How to Divide a Whole Number by a Decimal

Dividing numbers by hand or on a calculator becomes more complicated when you use fractions or decimals in the arithmetic. When you divide a whole numerator by a decimal denominator, you need to add decimal places to solve for the quotient.

Steps
Converting the Numbers
Write out your division problem on a piece of paper. Use pencil in case you want to revise your work. For example, 8 / 0.62.
The numerator is the number you are dividing. This is also the top number in a fraction.

The denominator is the number you are dividing by. This is also the bottom number in a fraction.

The quotient is the solution to the math problem.

Understand that whatever changes you make to the decimal in the denominator (0.62), you must make to the numerator (8). This guarantees that the value does not change.[1]

Write the numerator with decimals after the whole number. For example, 8.00. This is a good way to see how a whole number functions as a decimal without changing the value.

Shift the decimal of the denominator 2 places to the right to make it a whole number. For example, 0.62 becomes 62.

Adjust the numerator by 2 decimal places. For example, 8.00 becomes 800.

Dividing the Whole Numbers
Rewrite your equation with your whole numbers. For example, 800 / 62. Notice that 8 / 0.62 is the same equation as 800 / 62.[2]

Use your long division skills to divide the new numbers or punch in the values on your calculator.

Solve for the quotient. In our example problem, the answer is 12.9. You don’t need to add any decimal places back into the answer because the values of the decimal equation and the whole number equation are exactly the same.

Things You’ll Need
Pencil

Paper

Calculator

Related wikiHows
How to Change a Common Fraction Into a Decimal

How to Divide a Whole Number With a Fraction

How to Divide Mixed Fractions

Sources and Citations
Cite error: tags exist, but no tag was found

Link: http://popquizhelp.com/content/how-divide-whole-number-decimal Company: http://texasintegratedservices.com
LinkedIn: https://www.linkedin.com/in/texasintegratedservices

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s