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].
