Question 37

The value of the underlined digit is 9 x 10².

The underlined digit in the number represents the hundreds place, which is valued at 9 multiplied by 10 squared (10²), equating to 900.

A) 9 x 1^2

This option calculates to 9, which represents the value of 9 in the units place, not the hundreds place. Hence, it is incorrect in the context of identifying the value of the underlined digit.

B) 9 x 10²

This option accurately reflects the value of the underlined digit. It signifies that the digit 9 is in the hundreds place, which is indeed 9 multiplied by 100 (10²), resulting in 900.

C) 9 x 100^2

Calculating this option results in 9 x 10,000, which equals 90,000. This value is significantly larger than the value of the underlined digit, making this option incorrect.

D) 9 x 1000^2

This option calculates to 9 x 1,000,000, which equals 9,000,000. This far exceeds the value of the underlined digit and is therefore incorrect.

Conclusion

Option B is definitively correct as it accurately captures the value of the underlined digit in the hundreds place. The other options either miscalculate the digit’s place value or provide values that are irrelevant to the question, confirming that only Option B properly represents the value sought.