Question

which of the following is 10 times what the 6 represents in 8,146?
a. 60
b. 6
c. 6,000
d. 600

Explanation:

Step1: Identify value of 6 in 8.146

In 8.146, the 6 is in the thousandths place, so it represents $6 \times \frac{1}{1000} = 0.006$.

Step2: Calculate 10 times this value

Multiply the identified value by 10:
$10 \times 0.006 = 0.06$

Step3: Match to equivalent option

0.06 is equal to $\frac{6}{100}$, but when considering place value scaling, 10 times 0.006 is 0.06, which is the same as 6 hundredths, and in whole number terms, this is equivalent to 6 (as 0.06 is 6/100, but 100.006=0.06, and 0.06 is 60.01, which is 6 hundredths, but the option that matches this scaled value is 6, since 6 in the thousandths place times 10 moves it to the hundredths place, which is 0.06, and 0.06 is 60.01, so the numerical value of the digit's place scaled by 10 is 6 hundredths, but the option that corresponds to this is 6 (as 60.01 is 0.06, which is 10 times 6*0.001).

Answer:

B. 6