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Year 7 - Maths

Exponential and fractional column headings

Place value

Unit Summary

In this unit pupils revisit, secure and develop their understanding of place value with integers, decimals, fractions, metric and imperial units. This knowledge is then extended to order and compare numbers of increasing complexity.

Lesson Summary

You will learn to express place value column headings using both exponential and fractional representations.

Key Notes

  • The column headings for integer values can be expressed in different ways.
  • The column headings for integer values can be expressed in exponential form.
  • The column headings for non-integer values can be represented with fractions.

Vocabulary To Learn

  • Exponential form: When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
  • Fractional form: A number is in fractional form when it is displayed as one integer divided by another integer.

Common Mistakes To Avoid

  • 10^3 means 10 x 3

3 Quick Questions (With Answers)

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

The column headings for integer values can be expressed in different ways. The column headings for integer values can be expressed in exponential form.

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

When a number is multiplied by itself multiple times, it can be written more simply in exponential form. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: 10^3 means 10 x 3. Correction: 10 x 3 = 30. 10^3 = 10 x 10 x 10 = 1000.

More Lessons In This Unit

Browse all guides in the Year 7 Maths guide library.