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How many times smaller is [tex]3.4 \times 10^3[/tex] than [tex]7.956 \times 10^5[/tex]?

A. 2.3 \times 10^{-2}
B. 4.5 \times 10^{-3}
C. 2.34 \times 10^{-1}
D. 2.34 \times 10^{-2}


Sagot :

To determine how many times smaller [tex]\(3.4 \times 10^3\)[/tex] is compared to [tex]\(7.956 \times 10^5\)[/tex], we need to calculate the ratio of the two numbers.

### Step-by-Step Solution:

1. Convert the scientific notation to standard notation:
- [tex]\(3.4 \times 10^3\)[/tex] can be written as 3400.
- [tex]\(7.956 \times 10^5\)[/tex] can be written as 795600.

2. Set up the ratio:
To find out how many times one number is smaller than another, we divide the larger number by the smaller number.

[tex]\[ \text{Ratio} = \frac{7.956 \times 10^5}{3.4 \times 10^3} \][/tex]

3. Calculate the ratio:
Divide the larger number by the smaller number:
[tex]\[ \frac{795600}{3400} \approx 234 \][/tex]

Therefore, [tex]\(3.4 \times 10^3\)[/tex] is 234 times smaller than [tex]\(7.956 \times 10^5\)[/tex].