Divide Scientific Notations Worksheet

6 problems

Dividing numbers in scientific notation is a practical method used to manage calculations involving extremely large or small values encountered in scientific fields. When dividing numbers expressed in scientific notation, you begin by dividing the coefficients (the numbers before the "`x10`" part). Next, you subtract the exponents associated with the scientific notation. This subtraction dictates how the decimal point will be adjusted in the final result.

Algebra 1
Scientific Notation

How Will This Worksheet on "Divide Scientific Notations" Benefit Your Student's Learning?

  • Provides repeated practice in dividing numbers expressed in scientific notation.
  • Enhances problem-solving skills with various division problems in scientific notation.
  • Improves critical thinking and application of mathematical concepts.
  • Reinforces understanding of place value and exponents through rep...
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Solved Example

Q. Divide. 3×1053×103\frac{3 \times 10^5}{3 \times 10^3}
  1. Separate Coefficients and Powers: Separate coefficients and powers of 1010: 3×1053×103=33×105103 \frac{3 \times 10^5}{3 \times 10^3} = \frac{3}{3} \times \frac{10^5}{10^3}
  2. Divide Coefficients: Divide coefficients: 3÷3=13 \div 3 = 1
  3. Divide Powers of 1010: Divide powers of 1010: 105/103=1053=10210^5 / 10^3 = 10^{5-3} = 10^2
  4. Combine Results: Combine results: 1×1021 \times 10^2

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