Free Year 7 Maths Operations with Decimals Worksheet

This worksheet builds fluency with the four operations — adding, subtracting, multiplying and dividing decimals — through calculations grounded in everyday contexts. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.

The concepts it covers:

  • To add or subtract decimals, line up the decimal points so place values match, then compute as normal.
  • To multiply decimals, multiply as whole numbers first, then place the decimal point by counting total decimal places.
  • To divide by a decimal, multiply both numbers by a power of 10 to make the divisor a whole number, then divide.
  • Estimating first (rounding each number) helps check whether a decimal answer's size is reasonable.
  • Decimal place value works the same as whole numbers, just extended past the decimal point: tenths, hundredths, thousandths.

What your child will practise:

  • Adding and subtract decimals by aligning the decimal points, padding with zeros if needed.
  • Multiplying decimals as whole numbers, then count the total decimal places in both numbers to place the point.
  • Dividing by a decimal by shifting the decimal point in both numbers by the same amount to make the divisor a whole number.
  • Checking a decimal calculation's reasonableness by estimating with rounded numbers.
  • Applying decimal operations to money, measurement and rate problems.

Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.

Free Year 7 Maths Worksheet Download - Operations with Decimals

Download this free worksheet that includes questions mapped to the Australian curriculum, summary notes as well as an answer key to check your working!

Year 7 Maths - Operations with Decimals Worksheet
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