Dividing Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing very large or very small numbers in the form of a × 10^n, where a is a number greater than or equal to 1 and less than 10, and n is an integer.

Front

How do you divide numbers in scientific notation?

Back

To divide numbers in scientific notation, divide the coefficients (the numbers in front) and subtract the exponents of the powers of 10.

Front

What is the coefficient in scientific notation?

Back

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

Front

What does the exponent in scientific notation represent?

Back

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

Front

Example: Divide (6.0 × 10^3) by (2.0 × 10^2). What is the result?

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(6.0 ÷ 2.0) × 10^(3-2) = 3.0 × 10^1.

Front

What is the first step in dividing scientific notation?

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The first step is to divide the coefficients of the two numbers.

Front

What do you do after dividing the coefficients in scientific notation?

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After dividing the coefficients, subtract the exponent of the denominator from the exponent of the numerator.

Front

If you divide 4.5 × 10^5 by 1.5 × 10^3, what is the coefficient of the result?

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The coefficient is 3.0, since 4.5 ÷ 1.5 = 3.0.

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What happens to the exponent when you divide 10^5 by 10^3?

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You subtract the exponents: 5 - 3 = 2, so it becomes 10^2.

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What is the result of dividing (8.0 × 10^6) by (4.0 × 10^4)?

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(8.0 ÷ 4.0) × 10^(6-4) = 2.0 × 10^2.