Numbers in Standard Form (Leaving Cert Mathematics): Flashcards

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Numbers in Standard Form
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13 cards from this deck

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Standard form structure

a×10na × 10^n where 1≤a<101 ≤ a < 10 and nn is an integer

Coefficient range in standard form

1≤a<101 ≤ a < 10

Large numbers: decimal point direction & power sign

Move decimal left → positive power of 10

Small numbers: decimal point direction & power sign

Move decimal right → negative power of 10

40004000 in standard form

4×1034 × 10^3

0.040.04 in standard form

4×10−24 × 10^{-2}

Calculator key for entering standard form

EXP or 10x10^x key

Method for adding/subtracting in standard form

Convert to decimal form first, then operate

Method for multiplying/dividing in standard form

Work with coefficients and powers separately

Rule when multiplying powers of 10

Add the exponents

Rule when dividing powers of 10

Subtract the exponents

6.8×10−26.8 × 10^{-2} in decimal form

0.0680.068

Earth's diameter in standard form

1.27×1041.27 × 10^4 km

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