(2.3 × 10^5) + (7.49 × 10^5)
Understand the Problem
The question is asking for the sum of two numbers written in scientific notation. To solve this, we need to add the coefficients of the two numbers while keeping the base (in this case, 10^5) the same, and then express the final answer in scientific notation.
Answer
The answer is \(9.79 \times 10^5\).
Answer for screen readers
The final answer is (9.79 \times 10^5).
Steps to Solve
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Identify the components We have two numbers: (2.3 \times 10^5) and (7.49 \times 10^5). Both numbers have the same exponent (10^5).
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Add the coefficients To find the sum, we simply add the coefficients: $$ 2.3 + 7.49 = 9.79 $$
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Combine with the common exponent Now, we combine the sum of the coefficients with the common exponent: $$ 9.79 \times 10^5 $$
The final answer is (9.79 \times 10^5).
More Information
In scientific notation, only the coefficients are added when the exponents are the same. Here, (10^5) is kept the same because both numbers used this exponent.
Tips
- Forgetting to ensure the exponents are the same before adding.
- Incorrectly adding the coefficients or misplacing the decimal point.
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