Add (9 x 10^6) + (3.5 x 10^7) and write your answer in scientific notation.
Understand the Problem
The question is asking to add two numbers expressed in scientific notation and provide the answer in the same format.
Answer
The answer is $4.4 \times 10^7$.
Answer for screen readers
The final answer is:
$$ 4.4 \times 10^7 $$
Steps to Solve
- Identify the Numbers In Scientific Notation
The numbers given are $9 \times 10^6$ and $3.5 \times 10^7$.
- Make the Exponents Equal
Since one number has an exponent of 6 and the other has 7, we need to make the exponents the same. Convert $9 \times 10^6$ to the same exponent as the second number:
$$ 9 \times 10^6 = 0.9 \times 10^7 $$
- Add the Coefficients
Now we can add the two numbers, which are now:
$$ 0.9 \times 10^7 + 3.5 \times 10^7 $$
Combine the coefficients:
$$ (0.9 + 3.5) \times 10^7 = 4.4 \times 10^7 $$
The final answer is:
$$ 4.4 \times 10^7 $$
More Information
When adding numbers in scientific notation, it's important to adjust the exponents to match so that you can simply add the coefficients. This method helps to maintain the integrity of the significant figures.
Tips
- A common mistake is forgetting to adjust the exponents before adding the coefficients. Always ensure that the exponents are the same.
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