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Evaluate the following.

1. [tex]\((-15) + (-8) + (25) =\)[/tex] [tex]\(\qquad\)[/tex]
2. [tex]\((27) + (-50) + (-17) =\)[/tex] [tex]\(\qquad\)[/tex]
3. [tex]\((98) - (-78) =\)[/tex] [tex]\(\qquad\)[/tex]
4. [tex]\((-102) - (-75) =\)[/tex] [tex]\(\qquad\)[/tex]
5. [tex]\((-7)(-9)(-10) =\)[/tex] [tex]\(\qquad\)[/tex]
6. [tex]\((8)(-4)(-5)(-1) =\)[/tex] [tex]\(\qquad\)[/tex]
7. [tex]\((105) + (-5) =\)[/tex] [tex]\(\qquad\)[/tex]
8. [tex]\((-88) + (-11) =\)[/tex] [tex]\(\qquad\)[/tex]
9. [tex]\((-150) + (25) =\)[/tex] [tex]\(\qquad\)[/tex]
10. [tex]\(\frac{9}{15} + \frac{5}{15} =\)[/tex] [tex]\(\qquad\)[/tex]

Sagot :

GinnyAnsweridn
Let's evaluate each expression step by step:

1. [tex]\[ (-15) + (-8) + 25 \][/tex]
Start by adding the first two numbers:
[tex]\[ (-15) + (-8) = -23 \][/tex]
Now add 25:
[tex]\[ -23 + 25 = 2 \][/tex]
Therefore, [tex]\[ (-15) + (-8) + 25 = 2 \][/tex]

2. [tex]\[ (27) + (-50) + (-17) \][/tex]
Start by adding the first two numbers:
[tex]\[ 27 + (-50) = -23 \][/tex]
Now add -17:
[tex]\[ -23 + (-17) = -40 \][/tex]
Therefore, [tex]\[ (27) + (-50) + (-17) = -40 \][/tex]

3. [tex]\[ (98) - (-78) \][/tex]
Subtracting a negative number is equivalent to adding its positive:
[tex]\[ 98 + 78 = 176 \][/tex]
Therefore, [tex]\[ (98) - (-78) = 176 \][/tex]

4. [tex]\[ (-102) - (-75) \][/tex]
Subtracting a negative number is equivalent to adding its positive:
[tex]\[ -102 + 75 = -27 \][/tex]
Therefore, [tex]\[ (-102) - (-75) = -27 \][/tex]

5. [tex]\[ (-7) \cdot (-9) \cdot (-10) \][/tex]
Start by multiplying the first two numbers:
[tex]\[ (-7) \cdot (-9) = 63 \][/tex]
Now multiply by -10:
[tex]\[ 63 \cdot (-10) = -630 \][/tex]
Therefore, [tex]\[ (-7) \cdot (-9) \cdot (-10) = -630 \][/tex]

6. [tex]\[ (8) \cdot (-4) \cdot (-5) \cdot (-1) \][/tex]
Start by multiplying the first two numbers:
[tex]\[ 8 \cdot (-4) = -32 \][/tex]
Now multiply by -5:
[tex]\[ -32 \cdot (-5) = 160 \][/tex]
Now multiply by -1:
[tex]\[ 160 \cdot (-1) = -160 \][/tex]
Therefore, [tex]\[ (8) \cdot (-4) \cdot (-5) \cdot (-1) = -160 \][/tex]

7. [tex]\[ (105) + (-5) \][/tex]
Adding the two numbers:
[tex]\[ 105 + (-5) = 100 \][/tex]
Therefore, [tex]\[ (105) + (-5) = 100 \][/tex]

8. [tex]\[ (-88) + (-11) \][/tex]
Adding the two numbers:
[tex]\[ -88 + (-11) = -99 \][/tex]
Therefore, [tex]\[ (-88) + (-11) = -99 \][/tex]

9. [tex]\[ (-150) + (25) \][/tex]
Adding the two numbers:
[tex]\[ -150 + 25 = -125 \][/tex]
Therefore, [tex]\[ (-150) + (25) = -125 \][/tex]

10. [tex]\[ \frac{9}{15} + \frac{5}{15} \][/tex]
Since these fractions have the same denominator, we can add the numerators directly:
[tex]\[ \frac{9 + 5}{15} = \frac{14}{15} \][/tex]
Therefore, [tex]\[ \frac{9}{15} + \frac{5}{15} = \frac{14}{15} \][/tex]
Converting [tex]\(\frac{14}{15}\)[/tex] to a decimal gives approximately [tex]\(0.9333333333333333\)[/tex].

So, the final results are:
1. [tex]\(2\)[/tex]
2. [tex]\(-40\)[/tex]
3. [tex]\(176\)[/tex]
4. [tex]\(-27\)[/tex]
5. [tex]\(-630\)[/tex]
6. [tex]\(-160\)[/tex]
7. [tex]\(100\)[/tex]
8. [tex]\(-99\)[/tex]
9. [tex]\(-125\)[/tex]
10. [tex]\(0.9333333333333333\)[/tex]
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