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e the place value of the underlined digit. \( \begin{array}{ll}\text { 1. } 83.6 \underline{7} \\ \text { 2. } 75 . \underline{9} 9 & 4.1 .86 \\ \text { 3. } 0.80 & 5.65 .4 \underline{3}\end{array} \)

Ask by Mullins Norris. in the Philippines
Mar 09,2025

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Answer

1. The underlined \(7\) in \(83.67\) is in the hundredths place. 2. The underlined \(9\) in \(75.99\) is in the tenths place. 3. The underlined \(3\) in \(65.43\) is in the hundredths place.

Solution

1. For \(83.6\underline{7}\):  The underlined digit is \(7\). In this decimal number the first digit after the decimal point (the \(6\)) is in the tenths place and the second digit – the underlined \(7\) – is in the hundredths place.  Thus, the place value of \(7\) is the hundredths place. 2. For \(75.\underline{9}9\):  Here the underlined digit is the first digit after the decimal point. The first digit to the right of the decimal (the underlined \(9\)) is in the tenths place.  Thus, the place value of \(9\) is the tenths place. 3. For \(65.4\underline{3}\):  In this number the digit immediately after the decimal point, \(4\), is in the tenths place, and the underlined digit \(3\) is in the hundredths place.  Thus, the place value of \(3\) is the hundredths place.

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Bonus Knowledge

In the number 83.6**7**, the underlined digit 7 is in the hundredths place, which translates to 0.07, highlighting its value in the decimal system. For the number 75**.9**9, the highlighted digit 9 is in the tenths place, which represents 0.9, reflecting its significance in determining the value of the entire number. In the number 0.80, the underlined digit 80, when broken down, shows that the 8 is in the tenths place, equating to 0.8, while the 0 serves as a placeholder with no value in the overall calculation. As for the number 5.65**.4**3, the highlighted digit 3 is in the hundredths place, thus representing 0.03 as an important component in denoting the quantity in question.

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