Question

first, break apart the addends into integer parts and decimal parts.
-6.8 + 2.4 = ? + ? break apart the addends.

Explanation:

Step1: Break -6.8

The integer part of -6.8 is -6 and the decimal part is -0.8. But when breaking into integer and decimal parts for addition, we can also consider the addends as (-6 - 0.8)+(2 + 0.4). Wait, actually, for -6.8, the integer part is -6 and the decimal part is -0.8, and for 2.4, the integer part is 2 and the decimal part is 0.4. But when we break the addends (-6.8 and 2.4) into integer and decimal parts and then combine the integer parts together and decimal parts together. Wait, the problem is to break the addends into integer and decimal parts and then write the sum of integer parts and sum of decimal parts? Wait, no, the equation is -6.8+2.4=(integer part of -6.8 + integer part of 2.4)+(decimal part of -6.8+decimal part of 2.4)? Wait, no, the question is to break the addends into integer and decimal parts. So -6.8 can be broken into -6 (integer part) and -0.8 (decimal part), and 2.4 can be broken into 2 (integer part) and 0.4 (decimal part). But when we write -6.8 + 2.4, we can rewrite it as (-6 - 0.8)+(2 + 0.4)=(-6 + 2)+(-0.8+0.4). So the two parts to fill in the boxes are (-6 + 2) and (-0.8 + 0.4)? No, wait, the problem says "Break apart the addends". So the addends are -6.8 and 2.4. So we need to break each addend into integer and decimal parts, then the sum is (integer part of -6.8+integer part of 2.4)+(decimal part of -6.8 + decimal part of 2.4). Wait, no, the equation is -6.8 + 2.4=( - 6 - 0.8)+(2 + 0.4)=(-6 + 2)+(-0.8 + 0.4). So the two boxes are for the sum of integer parts and sum of decimal parts? Wait, no, the problem is written as -6.8 + 2.4 = [?] + [?], where we break the addends. So -6.8 is -6 - 0.8, 2.4 is 2 + 0.4. So -6.8+2.4=(-6 + 2)+(-0.8 + 0.4). So the first box is -6 + 2=-4? No, wait, maybe I misinterpret. Wait, the problem says "break apart the addends into integer parts and decimal parts". So for -6.8, integer part is -6, decimal part is -0.8; for 2.4, integer part is 2, decimal part is 0.4. Then -6.8 + 2.4=(-6 + 2)+(-0.8 + 0.4). So the two boxes are (-6 + 2) and (-0.8 + 0.4), which are -4 and -0.4. Wait, but let's check: -4+(-0.4)=-4.4, and -6.8 + 2.4=-4.4. Yes. So the first box is -6 + 2=-4? No, wait, no. Wait, the addends are -6.8 and 2.4. So we break each addend into integer and decimal, then the sum is (integer of -6.8 + integer of 2.4)+(decimal of -6.8 + decimal of 2.4). So integer of -6.8 is -6, integer of 2.4 is 2, so -6 + 2=-4. Decimal of -6.8 is -0.8, decimal of 2.4 is 0.4, so -0.8 + 0.4=-0.4. So -6.8 + 2.4=(-4)+(-0.4). Wait, but let's verify: -4+(-0.4)=-4.4, and -6.8 + 2.4=-4.4. Correct. So the two boxes are -4 and -0.4? Wait, no, maybe the problem is to break the addends into their integer and decimal parts separately, then the sum is (integer part of -6.8 + integer part of 2.4) and (decimal part of -6.8 + decimal part of 2.4). So the first box is (-6 + 2) = -4, the second box is (-0.8 + 0.4)=-0.4.

Step2: Verify

-6.8+2.4 = (-6 - 0.8)+(2 + 0.4)=(-6 + 2)+(-0.8 + 0.4)=-4+(-0.4)=-4.4, and -6.8+2.4=-4.4, so it's correct.

Answer:

-4 and -0.4 (or in the boxes, the first box is -4 and the second box is -0.4)