To determine whether the sum of 0.52 + 0.61 is less than or greater than 1, let's calculate the sum:
0.52 + 0.61 = 1.13
Now, we can analyze the statements provided:
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The sum is less than 1 because both decimals are less than 1.
- This statement is false. While both decimals are less than 1, their sum is greater than 1.
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The sum is less than 1 because the sum does not completely shade one hundredths grid.
- This statement is also false. In fact, the sum does shade more than one full hundredths grid.
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The sum is greater than 1 because the sum shades more than one hundredths grid.
- This statement is true. Since the sum (1.13) means we have shaded more than 1 (which equals 100 hundredths), this is correct.
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The sum is greater than 1 because any two hundredths decimals added together is greater than one.
- This statement is false. Not all pairs of two hundredths decimals will sum to more than 1. For example, 0.49 + 0.49 = 0.98, which is less than 1.
Thus, the correct explanation for the sum of 0.52 + 0.61 is that the sum is greater than 1 because the sum shades more than one hundredths grid.