Scientific Notation Operations Math Example 3

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Example 3

easy
Compute (2.5×104)×(3.0×106)(2.5 \times 10^4) \times (3.0 \times 10^6). Express your answer in scientific notation.

Solution

  1. 1
    Multiply coefficients: 2.5×3.0=7.52.5 \times 3.0 = 7.5.
  2. 2
    Add exponents: 104×106=101010^4 \times 10^6 = 10^{10}.
  3. 3
    Result: 7.5×10107.5 \times 10^{10} (coefficient already between 11 and 1010).

Answer

7.5×10107.5 \times 10^{10}
Multiplying in scientific notation separates into two simpler tasks: multiply the decimal parts, then add the integer exponents. Because 7.57.5 is already in [1,10)[1, 10), no further adjustment is needed.

About Scientific Notation Operations

Performing addition, subtraction, multiplication, and division on numbers expressed in scientific notation.

Learn more about Scientific Notation Operations →

More Scientific Notation Operations Examples

Example 1 medium

Compute [formula] and express in scientific notation.

Example 2 hard

Compute [formula] and [formula], expressing both in scientific notation.

Example 4 medium

The mass of the Earth is [formula] kg. The mass of the Moon is [formula] kg. How many times heavier

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