In the number shown, which of the following is the value of the underlined digit?

Rationale

9 x 10²

The underlined digit in the number represents the value of 9 in the tens place, which can be expressed mathematically as 9 multiplied by 10 raised to the power of 2. This reflects the positional value of the digit based on its location within the number.

A (9 x 1^2) YOUR ANSWER

This choice represents the value of 9 multiplied by 1 squared, which equals 9. However, this does not correspond to the positional value of the underlined digit, which is in the tens place, not the units place.

B (9 x 10²) CORRECT

This option correctly reflects the value of the underlined digit, as it represents 9 multiplied by 10 squared (which equals 9 x 100). This accurately captures the value of the underlined digit in the tens place, confirming it as the correct answer.

C (9 x 100^2) YOUR ANSWER

This choice indicates 9 multiplied by 100 squared, which equals 9 multiplied by 10,000. This value is far larger than the value of the underlined digit and does not represent its actual positional value in the number.

D (9 x 1000^2) YOUR ANSWER

This option signifies 9 multiplied by 1000 squared, resulting in a value of 9 multiplied by 1,000,000. This is an even larger figure and does not reflect the underlined digit's value in its respective position.

Conclusion

The value of the underlined digit corresponds to its position within the number, specifically indicating a value of 9 in the tens place. Among the choices, only 9 x 10² accurately represents this value by mathematically expressing its positional significance. The other options reflect incorrect interpretations of the underlined digit's value, confirming that understanding positional notation is crucial in determining the correct answer.

In the number shown, which of the following is the value of the underlined digit?

9 x 10²

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