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Section 34.3 Deliberate Practice: Scientific Notation

Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.

Focus on these skills:

  • Carefully count out the zeros or decimal places in your conversion.

  • Present your work legibly.

Worksheet Worksheet

Instructions: Convert the number to both standard form and scientific notation.

1.

Convert \(1300 \times 10^{-2}\) to standard form and scientific notation.

2.

Convert \(0.78 \times 10^{-2}\) to standard form and scientific notation.

3.

Convert \(0.053 \times 10^{8}\) to standard form and scientific notation.

4.

Convert \(17000 \times 10^{3}\) to standard form and scientific notation.

5.

Convert \(12.87 \times 10^{-4}\) to standard form and scientific notation.

6.

Convert \(15.98 \times 10^{7}\) to standard form and scientific notation.

7.

Convert \(0.00017 \times 10^{-3}\) to standard form and scientific notation.

8.

Convert \(0.00086 \times 10^{6}\) to standard form and scientific notation.

9.

Convert \(250000 \times 10^{-8}\) to standard form and scientific notation.

10.

Convert \(39000 \times 10^{4}\) to standard form and scientific notation.