Dividing Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10. For example, 3000 can be written as 3.0 x 10^3.

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How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^4) = 6 x 10^(3+4) = 6 x 10^7.

Front

How do you divide numbers in scientific notation?

Back

To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For example, (6 x 10^5) ÷ (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

Front

What is the coefficient in scientific notation?

Back

The coefficient in scientific notation is the number that is multiplied by the power of ten, and it must be between 1 and 10.

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What does the exponent in scientific notation represent?

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The exponent in scientific notation indicates how many times the base (10) is multiplied by itself. A positive exponent means a large number, while a negative exponent indicates a small number.

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Convert 4500 to scientific notation.

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4500 can be expressed in scientific notation as 4.5 x 10^3.

Front

Convert 0.0045 to scientific notation.

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0.0045 can be expressed in scientific notation as 4.5 x 10^-3.

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What is the result of (5 x 10^2) * (2 x 10^3)?

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The result is 10 x 10^5, which can be simplified to 1.0 x 10^6.

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What is the result of (8 x 10^4) ÷ (4 x 10^2)?

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The result is 2 x 10^(4-2) = 2 x 10^2.

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How do you express 0.00056 in scientific notation?

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0.00056 can be expressed in scientific notation as 5.6 x 10^-4.