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Scientific Notation: Division of Numbers in Exponential Form

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Scientific Notation and Operations

Dividing Numbers in Scientific Notation

Scientific notation is a way to express very large or very small numbers using powers of ten. When dividing numbers in scientific notation, divide the coefficients and subtract the exponents.

  • General Form:

  • Step 1: Divide the coefficients (the numbers in front).

  • Step 2: Subtract the exponent in the denominator from the exponent in the numerator.

Example Problem

Given:

  • Step 1: Divide the coefficients:

  • Step 2: Subtract the exponents:

Final Answer in Scientific Notation:

Summary Table: Division in Scientific Notation

Operation

Rule

Example

Multiplication

Multiply coefficients, add exponents

Division

Divide coefficients, subtract exponents

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