Mrs. Carter has a carton of milk that weighs 0.562 of a kilogram and another carton of milk that weighs 0.526 of a kilogram.

Question

Which statement is true when comparing the two weights?
A.
0.562 > 0.526 because 6 hundredths is greater than 2 hundredths.
B.
0.562 > 0.526 because 6 thousandths is greater than 2 thousandths.
C.
0.562 < 0.526 because 2 hundredths is less than 6 hundredths.
D.
0.562 < 0.526 because 2 thousandths is less than 6 thousandths.

Answer 1

To compare the two weights, we can look at the values directly:

• 0.562 kg
• 0.526 kg

When comparing the two values, we can break it down as follows:

1. Compare the whole number part: both are 0, so we move to the tenths place.
2. Compare the tenths place: they are both 5 (0.5 and 0.5), so we move to the hundredths place.
3. Compare the hundredths place: they are both 6 (0.56 and 0.52), so we move to the thousandths place.
4. Compare the thousandths place: 2 (in 0.526) is less than 6 (in 0.562).

Thus, we can conclude that:

0.562 > 0.526

Now, let's evaluate the statements:

A. 0.562 > 0.526 because 6 hundredths is greater than 2 hundredths. (This is incorrect because the comparison is about thousandths, not hundredths).

B. 0.562 > 0.526 because 6 thousandths is greater than 2 thousandths. (This is correct: since 0.562 has 6 thousandths and 0.526 has 2 thousandths).

C. 0.562 < 0.526 because 2 hundredths is less than 6 hundredths. (Incorrect: the statement is the opposite of what is true).

D. 0.562 < 0.526 because 2 thousandths is less than 6 thousandths. (Incorrect: this is also the opposite of what is true).

The correct statement is:

B. 0.562 > 0.526 because 6 thousandths is greater than 2 thousandths.