Question 23

The value of the underlined digit is 9 X 10 ^ - 2.

The underlined digit represents a value of 9 multiplied by 10 raised to the power of -2, indicating its position in decimal form.

A) 9 X 1 ^ - 2

This option suggests the value is 9 multiplied by 1 raised to the power of -2. Since 1 raised to any power is still 1, this simplifies to 9, which does not correspond to the correct representation of the underlined digit.

B) 9 X 10 ^ - 2

This option correctly represents the value of the underlined digit. The notation indicates that the digit is 9, and it is multiplied by 10 raised to the power of -2, which correctly identifies its decimal place as 0.09.

C) 9 X 100^ 2

This option indicates a value of 9 multiplied by 100 squared, which equals 9 times 10,000, resulting in a much larger value of 90,000. This does not accurately reflect the value of the underlined digit.

D) 9 X 1.000^ - 2

This option suggests a value of 9 multiplied by 1.000 raised to the power of -2. Similar to option A, since 1.000 raised to any power remains 1, this simplifies to 9, which does not correspond to the value of the underlined digit.

Conclusion

Option B is definitively correct as it accurately describes the value of the underlined digit in scientific notation. The other options either misrepresent the value or result in a significantly different numerical representation, failing to align with the context of the question.