The place value of 3 in 124.537 is:-

Question

Accepted Answer

The correct option is 3:
To determine the place value of a digit in a decimal number, we need to understand the position of each digit relative to the decimal point.

Let's break down the given number $124.537$:  * The digit '1' is in the hundreds place, so its place value is $1 \times 100 = 1 \times 10^2$.
  * The digit '2' is in the tens place, so its place value is $2 \times 10 = 2 \times 10^1$.
  * The digit '4' is in the ones place, so its place value is $4 \times 1 = 4 \times 10^0$.
  * The decimal point separates the whole number part from the fractional part.
  * The digit '5' is in the tenths place (first digit after the decimal point), so its place value is $5 \times \frac{1}{10} = 5 \times (\frac{1}{10})^1$.
  * The digit '3' is in the hundredths place (second digit after the decimal point), so its place value is $3 \times \frac{1}{100} = 3 \times (\frac{1}{10})^2$.
  * The digit '7' is in the thousandths place (third digit after the decimal point), so its place value is $7 \times \frac{1}{1000} = 7 \times (\frac{1}{10})^3$.The question asks for the place value of 3 in 124.537. As we identified, the digit 3 is in the hundredths place.
Therefore, its place value is $3 \times \frac{1}{100}$, which can be written as $3 \times (\frac{1}{10})^2$.

The incorrect option is 1: $3 \times (10)^2$ represents $3 \times 100 = 300$. This would be the place value of 3 if it were in the hundreds place, which is not the case in 124.537.
The incorrect option is 2: $3 \times (10)^3$ represents $3 \times 1000 = 3000$. This would be the place value of 3 if it were in the thousands place.
The incorrect option is 4: $3 \times (\frac{1}{10})^3$ represents $3 \times \frac{1}{1000} = 0.003$. This is the place value of the digit 7 in 124.537, not 3.