Question 25

1.782.96

To round the value 1.782.96400 to the hundredths place, we observe the digits in the hundredths and thousandths places. The correct rounding yields 1.782.96.

A) 1.782.96400

This option presents the original number without rounding it. While it includes the correct digits, it does not reflect the rounding to the hundredths place, making it incorrect.

B) 1.782.97

This option inaccurately rounds the hundredths place up by interpreting the third decimal place incorrectly. Since the third digit is 4, rounding should not increase the hundredths place value, thus this option is incorrect.

C) 1.8

This option significantly simplifies the number, disregarding all decimal places beyond the tenths. It fails to accurately represent the original value or its rounding to the hundredths place, rendering it incorrect.

D) 1.782.96

This option correctly rounds the number to the hundredths place. The original value is 1.782.96400, and since the digit in the thousandths place is 4, it rounds down, making 1.782.96 the accurate representation.

Conclusion

The correct answer, 1.782.96, accurately reflects the rounding process to the hundredths place based on the original value. All other options fail to meet the criteria for rounding correctly, either by preserving too many decimal places or by rounding incorrectly. Thus, option D is definitively the right choice.