Problem solving with standard form

I can use my knowledge of standard form to solve problems.

Problem solving with standard form

I can use my knowledge of standard form to solve problems.

Slide deck

Lesson details

Key learning points

1. Standard form is used frequently in Science.
2. The exponent can tell you how large the number will be.
3. The exponent can tell you how small the number will be.

Common misconception

Pupils can incorrectly write a number in standard form or use a number in incorrect standard form whereby the number A does not satisfy 1 ≤ A < 10 or pupils use division of positive powers of 10.

Standard form represents a multiplicative relationship, so there should always be a multiplication. Embedding the understanding that negative exponents refer to 1/10^n is important. Using the place value chart with fractional and exponent form helps.

Keywords

• 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).
• Associative law - The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.