Write the place value for the underlined digit: (a) 5.68 = ……………… (b) 17.32 = …………….. (c) 49.91 = …………….. (d) 75.99 = …………….. (e) 171.23 = …
The Correct Answer and Explanation is:
Correct Answers (Place Value of Underlined Digit):
(a) 5.68 = 5 → Ones
(b) 17.32 = 3 → Tenths
(c) 49.91 = 1 → Hundredths
(d) 75.99 = 9 → Tenths
(e) 171.23 = 3 → Hundredths
Explanation
Place value refers to the value of a digit based on its position in a number. In the decimal system, digits are assigned different place values depending on whether they are to the left or right of the decimal point.
In part (a), the number is 5.68 and the digit 5 is underlined. This digit is located just before the decimal point, which means it lies in the ones place. Therefore, its place value is ones.
For part (b), the number is 17.32 with the digit 3 underlined. This digit is the first one after the decimal point. The first digit to the right of the decimal point always occupies the tenths place. Hence, the place value of 3 is tenths.
In part (c), the number is 49.91, and the digit 1 is underlined. It is the second digit after the decimal point. The second digit to the right of the decimal point falls in the hundredths place, making the place value of 1 equal to hundredths.
Looking at part (d), the number is 75.99 with the digit 9 underlined. The underlined 9 is the first digit after the decimal point, which places it in the tenths position. Thus, its place value is tenths.
In part (e), the number is 171.23 and the digit 3 is underlined. The 3 appears in the second position to the right of the decimal point, which corresponds to the hundredths place. Therefore, its place value is hundredths.
Understanding place values is fundamental in both whole numbers and decimal numbers, helping in operations such as rounding, comparing, and performing calculations.
