Subtract. Write your answer in scientific notation. (3.7 × 10^8) - (1.76 × 10^8)
Understand the Problem
The question is asking us to perform a subtraction operation using numbers in scientific notation. Specifically, it involves subtracting (1.76 × 10^8) from (3.7 × 10^8) and writing the answer also in scientific notation.
Answer
The answer is \(1.94 \times 10^8\).
Answer for screen readers
The final answer is (1.94 \times 10^8).
Steps to Solve
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Identify the terms in scientific notation The values we are dealing with are (3.7 \times 10^8) and (1.76 \times 10^8).
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Convert to the same power of ten Since both terms are already in the same power of ten ((10^8)), we can subtract them directly.
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Perform the subtraction Now subtract the coefficients: $$ 3.7 - 1.76 = 1.94 $$
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Write the result in scientific notation Combine the result with the common power of ten: $$ 1.94 \times 10^8 $$
The final answer is (1.94 \times 10^8).
More Information
In scientific notation, the result expresses the difference in a compact form, which is useful for representing large numbers. The subtraction was straightforward because both terms had the same exponent.
Tips
- Forgetting to ensure both numbers are in the same power of ten before performing the subtraction may lead to errors. Always check the exponents before subtracting.
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