Math Problem Statement

Practice problems on expanded notation, scientific notation, and significant digits.

Solution

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Here are some follow-up questions for further practice:

  1. Convert 6.23×1046.23 \times 10^{-4} to expanded form.
  2. Express 64000 in scientific notation.
  3. How many significant digits are in the number 0.009700?
  4. Add 7.85+0.0031+15.427.85 + 0.0031 + 15.42, and round according to significant digit rules.
  5. Multiply 2.5×1022.5 \times 10^2 by 3.4×1013.4 \times 10^{-1}. How many significant digits should the answer have?

Tip: When adding or subtracting, focus on the decimal places, but when multiplying or dividing, pay attention to the number of significant digits!

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Math Problem Analysis

Mathematical Concepts

Expanded notation
Scientific notation
Significant digits (Sig Digs)
Addition and subtraction with significant digits
Multiplication and division with significant digits

Formulas

Scientific notation: a × 10^n
Significant digits rounding rules: Add/Subtract (focus on least precise decimal place), Multiply/Divide (focus on number of significant digits)

Theorems

Rules for rounding significant digits

Suitable Grade Level

Grades 9-12