How many times smaller is [tex][tex]$3.8 \times 10^3$[/tex][/tex] than [tex][tex]$6.422 \times 10^5$[/tex][/tex]?

A. 169
B. 59
C. 1.79
D. 0.59



Answer :

Let's solve the problem step-by-step:

1. We are given two values: [tex]\(3.8 \times 10^3\)[/tex] and [tex]\(6.422 \times 10^5\)[/tex].
2. To determine how many times smaller [tex]\(3.8 \times 10^3\)[/tex] is compared to [tex]\(6.422 \times 10^5\)[/tex], we need to calculate the ratio of the larger value to the smaller value.
3. This means we divide [tex]\(6.422 \times 10^5\)[/tex] by [tex]\(3.8 \times 10^3\)[/tex].

[tex]\[ \text{Ratio} = \frac{6.422 \times 10^5}{3.8 \times 10^3} \][/tex]

4. After performing this division, we obtain the ratio.

The result of this calculation shows how many times [tex]\(3.8 \times 10^3\)[/tex] fits into [tex]\(6.422 \times 10^5\)[/tex].

Given that the result of this calculation is [tex]\(169.0\)[/tex], we conclude that [tex]\(3.8 \times 10^3\)[/tex] is 169 times smaller than [tex]\(6.422 \times 10^5\)[/tex].

Therefore, the correct option is:

[tex]\[ 169 \][/tex]