Year 10 - Maths
Problem solving with standard form calculations
Standard form calculations
Study Hub
Study Guides
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 use your knowledge of standard form to solve problems.
Key Notes
- It can be useful to have very large or very small numbers written in standard form.
- Being able to perform arithmetic operations on numbers written in standard form reduces error during conversion.
- Standard form calculations can be done quickly with the use of 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
- Incorrect use of the calculator when finding the mean of numbers. Omitting the brackets when summing the values.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
It can be useful to have very large or very small numbers written in standard form. Being able to perform arithmetic operations on numbers written in standard form reduces error during conversion.
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: Incorrect use of the calculator when finding the mean of numbers. Omitting the brackets when summing the values. Correction: Encourage pupils to calculate the sum of the values and record this before dividing by the number of values. This also encourages a record of a method.
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
- Subtracting numbers in standard form Study Guide
Browse all guides in the Year 10 Maths guide library.