Math Problem Statement

2.1 times 10 to the power of negative one

Solution

2.1×1012.1 \times 10^{-1} means multiplying 2.1 by 0.1, which is the same as moving the decimal point one place to the left.

2.1×101=0.212.1 \times 10^{-1} = 0.21

So, the result is 0.21.

Would you like more details on how powers of ten work? Here are 5 related questions to consider:

  1. What happens if you multiply by 10210^{-2} instead of 10110^{-1}?
  2. How do negative exponents affect decimal movement?
  3. Can you convert 0.210.21 back to scientific notation?
  4. How would 2.1×1012.1 \times 10^1 compare to 2.1×1012.1 \times 10^{-1}?
  5. How does multiplying by 10010^0 affect a number?

Tip: Negative exponents in scientific notation represent small numbers less than 1, while positive exponents represent larger numbers.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Powers of Ten
Negative Exponents

Formulas

a × 10^n = a shifted by n decimal places

Theorems

Exponent Rules

Suitable Grade Level

Grades 6-8