Question

choose the symbol that correctly compares the two decimals below:
94.79 □ 94.79
<
=

choose the statement that describes the deciding factor in determining the comparison symbol chosen above.
the digit in the hundredths place of 94.79 is less than the digit in the hundredths place of 94.79.
the digit in the tenths place of 94.79 is greater than the digit in the tenths place of 94.79.
the digit in each place value of 94.79 is identical to each place values digit in 94.79.
the digit in the tenths place of 94.79 is less than the digit in the ones place of 94.79.

Explanation:

First Sub - Question (Comparing the two decimals)

Step1: Analyze the two decimals

The two decimals are both \(94.79\). When comparing two numbers, if they have the exact same digits in each place value (ones, tenths, hundredths, etc.), they are equal.

Step2: Determine the comparison symbol

Since \(94.79\) and \(94.79\) are the same number, the correct comparison symbol is \(=\).

• Option 1: Says the hundredths place digit is less, but both are \(9\), so incorrect.
• Option 2: Says tenths place digit is greater, but both are \(7\), so incorrect.
• Option 3: Since both numbers \(94.79\) have the same digits in each place value (tens: \(9\), ones: \(4\), tenths: \(7\), hundredths: \(9\)), this is the correct reason for using \(=\).
• Option 4: Compares tenths and ones place, which is not relevant to comparing the two \(94.79\)s.

Answer:

\(=\)

Second Sub - Question (Deciding factor for the comparison symbol)