To solve the operations on the numbers \(3.25 \times 10^7\) and \(2.5 \times 10^5\), we will perform addition, multiplication, subtraction, and division.
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Addition:
- To add \(3.25 \times 10^7\) and \(2.5 \times 10^5\), we need to express \(2.5 \times 10^5\) in terms of \(10^7\): \[ 2.5 \times 10^5 = 0.025 \times 10^7 \] Now, we can add: \[ 3.25 \times 10^7 + 0.025 \times 10^7 = (3.25 + 0.025) \times 10^7 = 3.275 \times 10^7 \] Answer: 3.275 x 10^7
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Multiplication: \[ (3.25 \times 10^7) \times (2.5 \times 10^5) = (3.25 \times 2.5) \times (10^7 \times 10^5) = 8.125 \times 10^{12} \] Answer: 8.125 x 10^12
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Subtraction:
- Using the same format as in addition, we express it as: \[ 3.25 \times 10^7 - 0.025 \times 10^7 = (3.25 - 0.025) \times 10^7 = 3.225 \times 10^7 \] Answer: 3.225 x 10^7
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Division: \[ \frac{3.25 \times 10^7}{2.5 \times 10^5} = \frac{3.25}{2.5} \times 10^{7 - 5} = 1.3 \times 10^2 \] (This specific answer is not provided in your answer match.)
Putting it all together, the matches you should select are:
- Addition: 3.275 x 10^7
- Multiplication: 8.125 x 10^12
- Subtraction: 3.225 x 10^7
- Division: This might not match but is 1.3 x 10^2.
1 answer