Scientific Notation Math Example 2

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Example 2

medium
Compute (3.0×105)×(2.0×10−3)(3.0 \times 10^5) \times (2.0 \times 10^{-3}) and express the answer in scientific notation.

Solution

  1. 1
    Multiply the coefficients: 3.0×2.0=6.03.0 \times 2.0 = 6.0.
  2. 2
    Add the exponents: 105+(−3)=10210^{5 + (-3)} = 10^2.
  3. 3
    Combine: 6.0×1026.0 \times 10^2.

Answer

6.0×1026.0 \times 10^{2}
When multiplying numbers in scientific notation, multiply the coefficients and add the exponents. This follows directly from the product rule of exponents.

About Scientific Notation

A way of writing very large or very small numbers as a×10na \times 10^n, where 1≤∣a∣<101 \leq |a| < 10 and nn is an integer.

Learn more about Scientific Notation →

More Scientific Notation Examples

Example 1 easy

Write [formula] in scientific notation.

Example 3 easy

Convert [formula] to standard form and identify what famous constant this represents.

Example 4 easy

Write [formula] in scientific notation.

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