singhchandani111991
Answered

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Find the sum using the properties of addition:

(a) [tex]200 + (-105) + (-36)[/tex]
(b) [tex](-45) + 100 + (-55)[/tex]
(c) [tex](-825) + 725 + 100 + (-100)[/tex]
(d) [tex]927 + (-517) + (-518)[/tex]

Sagot :

GinnyAnswer
Sure! Let's go through each of the sums step by step.

### (a) [tex]\(200 + (-105) + (-36)\)[/tex]

We need to add the three numbers together.

1. Start with the first two numbers:
[tex]\[ 200 + (-105) = 200 - 105 = 95 \][/tex]

2. Now add the result to the third number:
[tex]\[ 95 + (-36) = 95 - 36 = 59 \][/tex]

So the sum of [tex]\(200 + (-105) + (-36)\)[/tex] is [tex]\(59\)[/tex].

### (b) [tex]\((-45) + 100 + (-55)\)[/tex]

Add the three numbers together.

1. Start with the first two numbers:
[tex]\[ (-45) + 100 = 100 - 45 = 55 \][/tex]

2. Now add the result to the third number:
[tex]\[ 55 + (-55) = 55 - 55 = 0 \][/tex]

So the sum of [tex]\((-45) + 100 + (-55)\)[/tex] is [tex]\(0\)[/tex].

### (c) [tex]\((-825) + 725 + 100 + (-100)\)[/tex]

Add the four numbers together.

1. Start with the first two numbers:
[tex]\[ (-825) + 725 = 725 - 825 = -100 \][/tex]

2. Now add the result to the third number:
[tex]\[ (-100) + 100 = -100 + 100 = 0 \][/tex]

3. Finally, add the result to the fourth number:
[tex]\[ 0 + (-100) = 0 - 100 = -100 \][/tex]

So the sum of [tex]\((-825) + 725 + 100 + (-100)\)[/tex] is [tex]\(-100\)[/tex].

### (d) [tex]\(927 + (-517) + (-518)\)[/tex]

Add the three numbers together.

1. Start with the first two numbers:
[tex]\[ 927 + (-517) = 927 - 517 = 410 \][/tex]

2. Now add the result to the third number:
[tex]\[ 410 + (-518) = 410 - 518 = -108 \][/tex]

So the sum of [tex]\(927 + (-517) + (-518)\)[/tex] is [tex]\(-108\)[/tex].

Thus, the sums are:
- (a) [tex]\(59\)[/tex]
- (b) [tex]\(0\)[/tex]
- (c) [tex]\(-100\)[/tex]
- (d) [tex]\(-108\)[/tex]
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