We need to find the value of the expression $\frac{(6 \times 10^7) + (4 \times 10^6)}{1 \times 10^5}$ and choose the correct answer in scientific notation from the given options.

ArithmeticScientific NotationExponentsOrder of Operations
2025/4/28

1. Problem Description

We need to find the value of the expression (6×107)+(4×106)1×105\frac{(6 \times 10^7) + (4 \times 10^6)}{1 \times 10^5} and choose the correct answer in scientific notation from the given options.

2. Solution Steps

First, we simplify the numerator. To add the two terms, we need to have the same exponent.
6×107+4×106=6×10×106+4×106=60×106+4×106=(60+4)×106=64×1066 \times 10^7 + 4 \times 10^6 = 6 \times 10 \times 10^6 + 4 \times 10^6 = 60 \times 10^6 + 4 \times 10^6 = (60+4) \times 10^6 = 64 \times 10^6
Now we have:
64×1061×105\frac{64 \times 10^6}{1 \times 10^5}
We can simplify the expression by dividing the numbers and dividing the powers of
1

0. $\frac{64}{1} \times \frac{10^6}{10^5} = 64 \times 10^{6-5} = 64 \times 10^1$

We can rewrite this in scientific notation as:
6.4×10×101=6.4×1026.4 \times 10 \times 10^1 = 6.4 \times 10^2

3. Final Answer

6.4×1026.4 \times 10^2

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