Powers of 10 and Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a number between 1 and 10 multiplied by a power of 10.

Front

Convert 3,001,000 to scientific notation.

Back

3,001,000 = 3.001 × 10^6

Front

What is the power of 10 for 0.00001?

Back

0.00001 = 1 × 10^{-5}

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Convert 0.0000014 to scientific notation.

Back

0.0000014 = 1.4 × 10^{-6}

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How do you compare numbers in scientific notation?

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To compare numbers in scientific notation, compare the powers of 10 first. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.

Front

What is the value of 10^0?

Back

10^0 = 1

Front

Convert 0.00041 to scientific notation.

Back

0.00041 = 4.1 × 10^{-4}

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What is the scientific notation for 2,500?

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2,500 = 2.5 × 10^3

Front

How do you express 0.0000005 in scientific notation?

Back

0.0000005 = 5 × 10^{-7}

Front

What is the scientific notation for 45,000,000?

Back

45,000,000 = 4.5 × 10^7