To determine whether the sum of 0.52 and 0.61 is less than or greater than 1, we can simply add the two decimals together:
0.52 + 0.61 = 1.13
Now we can assess the options given:
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"The sum is less than 1 because both decimals are less than 1." - This is incorrect; though both decimals are less than 1, their sum exceeds 1.
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"The sum is less than 1 because the sum does not completely shade one hundredths grid." - This is also incorrect; the sum exceeds 1.
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"The sum is greater than 1 because the sum shades more than one hundredths grid." - This is correct; since 1.13 exceeds 1, it indeed would shade more than one whole hundredths grid.
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"The sum is greater than 1 because any two hundredths decimals added together is greater than one." - This statement is not accurate for all cases; while 0.52 + 0.61 is greater than one, this is not a universal rule for all hundredths decimals.
The best explanation is option 3: "The sum is greater than 1 because the sum shades more than one hundredths grid."