Decimals by whole numbers

Perform the multiplication or division as usual, but keep the decimal point in place (this will make more sense once you have seen the video of the worked examples).

Example videos

Video: https://www.youtube.com/embed/ZIRx7rmma78

Video: https://www.youtube.com/embed/E3Hj5RW25o4

Video: https://www.youtube.com/embed/t2nMx02slWc

Video: https://www.youtube.com/embed/Q4oSQjnQxnU

Practice questions

Multiplying and dividing decimals by whole numbers - questionsMultiplying and dividing decimals by whole numbers - worked solutions

Decimals by decimals

Multiplying

You need to watch the worked example videos to make the method clear. However, in summary:

  1. Multiply the numbers, ignoring the decimal point and any zeroes immediately before or after it.
  2. Give the answer the same number of decimal places as the total of the decimal places in the numbers being multiplied.

Dividing

  1. Turn the division into a fraction.
  2. Multiply the top and bottom of the fraction by 10 or 100 or 1000 etc. so as to make the bottom a whole number.
  3. Now divide the number on top by the whole number on the bottom in the usual way.

Example videos

Video: https://www.youtube.com/embed/aevl4w7AeUQ

Video: https://www.youtube.com/embed/7WFbRKed1dg

Practice questions

Multiplying and dividing decimals by decimals - questionsMultiplying and dividing decimals by decimals - worked solutions