QQuestionMathematics
QuestionMathematics
What is 100,000 times 100,000 using the standard method of multiplication? Write the answer as 10 to a power.
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Set up the multiplication
100,000 \times 100,000
Step 3:: Recognize this as multiplying 10^{5} by 10^{5}
Step 4:: Apply the exponent multiplication rule
10^{5} \times 10^{5} = 10^{5+5} = 10^{10}
When multiplying powers with the same base, we add the exponents:
Step 5:: Verify the calculation
100,000 \times 100,000 = 10,000,000,000 = 10^{10}
Final Answer
Key Insights: - When multiplying numbers in exponential form with the same base, add the exponents - 10^{5} \times 10^{5} = 10^{5 + 5} = 10^{10} - This method works for any base, not just 10
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