Year 10 - Maths
Subtracting numbers in standard form
Standard form calculations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to add, subtract, multiply and divide numbers written in standard form.
Lesson Summary
You will learn to appreciate the mathematical structures that underpin subtraction of numbers represented in standard form.
Key Notes
- When subtracting numbers represented in standard form, place value is an important consideration.
- If the power of 10 is the same for both numbers, it is easy to subtract.
- Standard form calculations can be done using a calculator.
Vocabulary To Learn
- Standard form: Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer).
Common Mistakes To Avoid
- When subtracting numbers in standard form, pupils can also add the exponents of 10.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When subtracting numbers represented in standard form, place value is an important consideration. If the power of 10 is the same for both numbers, it is easy to subtract.
2. Use this key word in a maths sentence and explain it clearly. 'Standard form'
Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer). Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When subtracting numbers in standard form, pupils can also add the exponents of 10. Correction: The use of the place value chart shows how the magnitude does not change to the sum of the powers of 10. The place value chart can support pupils to make the correct addition or subtraction of large or small numbers.
More Lessons In This Unit
- Adding numbers in standard form Study Guide
- Checking and securing understanding of writing large numbers in standard form Study Guide
- Checking and securing understanding of writing small numbers in standard form Study Guide
- Dividing numbers in standard form Study Guide
- Multiplying numbers in standard form Study Guide
- Problem solving with standard form calculations Study Guide
Browse all guides in the Year 10 Maths guide library.