Question

Which shows a true comparison? Select all that apply.

A. 32.03 > 32.3
B. 3.114 > 3.112
C. 4.003 < 3.996
D. 0.541 > 0.145
E. 0.141 < 0.19

Answer 1

Answer: -D) 0.541 > 0.145

-B) 3.114 > 3.112

-E) 0.141 < 0.19

explanation: The number 3.114 is greater than 3.112, as the digit in the thousandth place (4) is greater than the corresponding digit in 3.112 (1). Here, the number 0.541 is greater than 0.145 because the digit in the hundredth place (4) is greater than the corresponding digit in 0.145 (1). In this example, the number 0.141 is indeed less than 0.19, as the digit in the hundredth place (1) is less than the corresponding digit in 0.19 (9).

Answer 2

The true comparisons are:

B. 3.114 > 3.112: In this case, the number 3.114 is greater than 3.112, as the digit in the thousandth place (4) is greater than the corresponding digit in 3.112 (1).

D. 0.541 > 0.145: Here, the number 0.541 is greater than 0.145 because the digit in the hundredth place (4) is greater than the corresponding digit in 0.145 (1).

E. 0.141 < 0.19: In this example, the number 0.141 is indeed less than 0.19, as the digit in the hundredth place (1) is less than the corresponding digit in 0.19 (9).

Option A is not a true comparison because 32.03 is actually less than 32.3. The digit in the hundredth place is 0 in both numbers, and the digit in the thousandth place is 3 in 32.03, while it is 0 in 32.3.

Option C is also not a true comparison since 4.003 is greater than 3.996. The digit in the thousandth place (4) is greater than the corresponding digit in 3.996 (3).