Math Problem Statement

Think of a fact or detail about multiplying powers by 10

Solution

When you multiply a power of 10 by another power of 10, you simply add the exponents. For example, 103×102=103+2=10510^3 \times 10^2 = 10^{3+2} = 10^5.

Would you like more details or have any questions?

Here are five related questions:

  1. What happens when you multiply powers with different bases?
  2. How do you divide powers of 10?
  3. What is the result of raising a power of 10 to another power?
  4. Can you explain the concept of scientific notation?
  5. How do powers of 10 relate to decimal movement?

Tip: Remember that multiplying by a power of 10 shifts the decimal point to the right by the number of places equal to the exponent.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers of 10
Multiplication

Formulas

10^a × 10^b = 10^(a+b)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 5-7