Express the following numbers as decimal fraction 10-7 4.5 * 10-5

Mathematics

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Answers

2 parts
1
0.0000001
2
0.000045

Step-by-step solution

4 steps

Part 1· 2 steps

Express 10−710^{-7} as a decimal fraction.

  1. Understand scientific notation

    The notation 10−710^{-7} means 1 multiplied by 10−710^{-7}. A negative exponent indicates that the decimal point should be moved to the left.

  2. Convert to decimal form

    For 10−710^{-7}, move the decimal point 7 places to the left from its initial position (which is after the 1 in 1.0).
    1.0×10−7=0.00000011.0 \times 10^{-7} = 0.0000001

    The decimal fraction is:
    0.0000001

Part 20.000045

Express 4.5×10−54.5 \times 10^{-5} as a decimal fraction.

  1. Understand scientific notation

    The notation 4.5×10−54.5 \times 10^{-5} means 4.5 multiplied by 10−510^{-5}. A negative exponent indicates that the decimal point should be moved to the left.

  2. Convert to decimal form

    For 4.5×10−54.5 \times 10^{-5}, move the decimal point 5 places to the left from its current position.
    4.5×10−5=0.0000454.5 \times 10^{-5} = 0.000045

    The decimal fraction is:
    0.000045

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