Approximations, Decimal Places, and Significant Figures (VCE SSCE General Mathematics): Flashcards

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Approximations, Decimal Places, and Significant Figures
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Purpose of approximations

Work with numbers when exact values are impractical

When to round a digit up

When digit to right is 5, 6, 7, 8, or 9

When to leave digit unchanged in rounding

When digit to right is 0, 1, 2, 3, or 4

Definition of decimal place

Position after the decimal point in a number

Scientific notation definition

Number between 1 and 10 multiplied by power of 10

What positive power of 10 indicates

Large number (decimal point moves right)

What negative power of 10 indicates

Small number (decimal point moves left)

Definition of significant figures

Digits in a number that indicate its accuracy

78000007800000 in scientific notation

7.8×1067.8 \times 10^{6}

7.9×1057.9 \times 10^{-5} as basic numeral

0.0000790.000079

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