Question

choose the symbol that correctly compares the two decimals below:
63.99 □ 63.67
□ =
□ >
□ <

choose the statement that describes the deciding factor in determining the comparison symbol chosen above.
□ the digit in the hundredths place of 63.67 is less than the digit in the hundredths place of 63.99.
□ the digit in the tenths place of 63.99 is greater than the digit in the tenths place of 63.67.
□ the digit in the tenths place of 63.67 is greater than the digit in the tenths place of 63.99.
□ the digit in the hundredths place of 63.67 is greater than the digit in the tenths place of 63.99.

Explanation:

First Question (Comparing 63.99 and 63.67)

Step1: Compare whole number parts

Both numbers have 63 as the whole number part, so we move to the decimal parts.

Step2: Compare tenths place

In 63.99, the tenths digit is 9. In 63.67, the tenths digit is 6. Since \( 9 > 6 \), we can determine the comparison.

To determine the deciding factor, we analyze the decimal places. The whole number parts (63) are equal. We then compare the tenths place: 63.99 has 9 in the tenths place, 63.67 has 6. Since \( 9 > 6 \), the tenths place digit comparison decides the result. The correct statement is "The digit in the tenths place of 63.99 is greater than the digit in the tenths place of 63.67."

Answer:

\( 63.99 > 63.67 \) (the symbol is \( > \))

Second Question (Deciding Factor)