Year 10 - Maths
Dividing 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 division of numbers represented in standard form.
Key Notes
- Equivalent fractions can be used to calculate the quotient when dividing with two numbers represented in standard form.
- Using your knowledge of the index laws, you can combine powers with the same base.
- Standard form calculations can be done using a calculator.
Vocabulary To Learn
- Standard form: Standard form is when a number is written in the form A × 10n, (where 1 ≤ A < 10 and n is an integer).
- Exponential form: When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
- Commutative: The commutative law states you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication.
- Associative: The associative law states that it doesn't matter how you group or pair values (i.e. which we calculate first), the result is still the same. It applies for addition and multiplication.
Common Mistakes To Avoid
- When the dividing numbers written in standard form changing the multiplication symbol between the number and power of ten to a division symbol.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Equivalent fractions can be used to calculate the quotient when dividing with two numbers represented in standard form. Using your knowledge of the index laws, you can combine powers with the same base.
2. Use this key word in a maths sentence and explain it clearly. 'Standard form'
Standard form is when a number is written in the form A × 10n, (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 the dividing numbers written in standard form changing the multiplication symbol between the number and power of ten to a division symbol. Correction: Encourage pupils to write any division as a fraction. This makes the maintenance of the multiplication symbol easier to see.
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
- Multiplying numbers in standard form Study Guide
- Problem solving with standard form calculations Study Guide
- Subtracting numbers in standard form Study Guide
Browse all guides in the Year 10 Maths guide library.