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Year 5 - Maths

Compare and order decimal numbers with tenths

Understand tenths as part of a whole, represent and calculate mentally

Unit Summary

In this unit pupils will describe, represent and order tenths as a decimal fraction. They will round a decimal number with tenths to the nearest whole number and calculate mentally with decimal numbers including tenths.

Lesson Summary

You will learn to compare and order decimal numbers with tenths.

Key Notes

  • To compare two numbers, you compare digits with the same place value, starting with the largest place-value digit.
  • If the whole numbers are the same, look at the value of the tenths digit to compare and order.

Vocabulary To Learn

  • compare: When you compare, you look for similarities and differences in an object or value.
  • order: You can order numbers by putting them in a place based on a set rule.
  • place value: The value of a digit in a number based on where it is placed is known as place value.
  • ascending: Ascending order is when items are arranged from smallest to largest.
  • descending: Descending order is when items are arranged from largest to smallest.

Common Mistakes To Avoid

  • Pupils think that because a representation has more images/items then it is a larger number.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

To compare two numbers, you compare digits with the same place value, starting with the largest place-value digit. If the whole numbers are the same, look at the value of the tenths digit to compare and order.

2. Use this key word in a maths sentence and explain it clearly. 'compare'

When you compare, you look for similarities and differences in an object or value. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Pupils think that because a representation has more images/items then it is a larger number. Correction: Encourage pupils to consider the value of each image/item and say this verbally as ___ wholes and ___ tenths.

More Lessons In This Unit

Browse all guides in the Year 5 Maths guide library.