Standard form 2 (AQA GCSE Maths): Flashcards

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Standard form 2
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Type of numbers standard form handles efficiently

Very large or very small numbers

Multiplying in standard form: what to do with number parts

Multiply the number parts separately

Multiplying in standard form: what to do with powers

Add the powers

Index law for multiplying powers

am×an=a(m+n)a^m \times a^n = a^{(m+n)}

Dividing in standard form: what to do with number parts

Divide the number parts

Dividing in standard form: what to do with powers

Subtract the powers

Index law for dividing powers

am÷an=a(mn)a^m \div a^n = a^{(m-n)}

Method for adding/subtracting in standard form

Convert to ordinary form, calculate, convert back

Range for first number in proper standard form

1first number<101 \leq \text{first number} < 10

Why convert to ordinary form for add/subtract

Cannot directly add/subtract numbers with different powers of 10

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