Which of these statements is true about the decimal form of the number shown? 892/16

Question

It is neither a terminating decimal nor a repeating decimal..
It is both a terminating decimal and a repeating decimal.
It is a terminating decimal.
. It is a repeating decimal.

Answer 1

To determine the nature of the decimal form of \( \frac{892}{16} \), we can first perform the division:

\[ 892 \div 16 = 55.75 \]

Next, we analyze the decimal representation:

1. Terminating Decimal: A decimal is called terminating if it has a finite number of digits after the decimal point. The decimal \( 55.75 \) has two digits after the decimal point, so it is a terminating decimal.

2. Repeating Decimal: A decimal is repeating if it has an infinitely repeating sequence of digits after the decimal point. Since \( 55.75 \) does not have any repeating digits, it is not a repeating decimal.

Based on this information, the correct statement about the decimal form of \( \frac{892}{16} \) is:

It is a terminating decimal.