how to divide decimals with whole numbers

3 hours ago 4
Nature

Certainly! Here's a clear, step-by-step guide on how to divide decimals by whole numbers :

How to Divide Decimals by Whole Numbers

Step 1: Understand the Problem

You have a decimal number (like 12.6) that you want to divide by a whole number (like 3). Example:
Divide 12.6 ÷ 3

Step 2: Set up the Division

Write the division as you normally would:
12.6 ÷ 3

Step 3: Divide as if there were no decimal

Ignore the decimal point for a moment and divide 126 by 3. 126 ÷ 3 = 42

Step 4: Place the decimal point in the quotient

Since the original number (12.6) has one digit after the decimal point, your answer should also have one digit after the decimal point. So, 12.6 ÷ 3 = 4.2

Alternative Method: Use Long Division

  • Set up long division with 12.6 inside the division bracket and 3 outside.
  • Divide 12 by 3 = 4.
  • Bring down the 6 (after the decimal point).
  • Divide 6 by 3 = 2.
  • Put the decimal point directly above in the quotient.

Tips:

  • The decimal point in the quotient goes directly above the decimal point in the dividend.
  • If the decimal number has more digits after the decimal, just keep dividing normally, placing the decimal point in the quotient accordingly.

Example 2:

Divide 5.25 ÷ 5

  • Ignore decimal: 525 ÷ 5 = 105
  • Since 5.25 has two decimal places, put decimal two places from right: 1.05

Answer: 5.25 ÷ 5 = 1.05 If you want, I can provide practice problems or explain dividing decimals by decimals too!