Evaluate $- 8 - 24 + 31 - 26 - 28 + 7 + 19 - 18 - 8 + 33$

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Solution

Step 1
Separating the same sign terms
$= (- 8 - 24 - 26 - 28 - 18 - 8) + (31 + 7 + 19 + 33)$
Step 2
Simplifying the same sign terms and then evaluate
$= - 112 + 90 = - 22$
Hence the result is $- 22$

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Similar questions

Q. Evaluate the following:

(i) −8 − 24 + 31 − 26 − 28 + 7 + 19 − 18 − 8 + 33
(ii) −26 −20 + 33 − (−33) + 21 + 24 − (−25) −26 − 14 − 34

Simplify the following

(a) 12 + [{1 + (15 − 3)} × 4]

(b)

(c)

(d)

(e)

Evaluate each of the following: $(i) \frac{2}{3} - \frac{3}{5} (i i) \frac{- 4}{7} - \frac{2}{- 3} (i i i) \frac{4}{7} - \frac{- 5}{- 7} (i v) - 2 - \frac{5}{9} (v) \frac{- 3}{- 8} - \frac{- 2}{7} (v i) \frac{- 4}{13} - \frac{- 5}{26} (v i i) \frac{- 5}{14} - \frac{- 2}{7} (v i i i) \frac{13}{15} - \frac{12}{25} (i x) \frac{- 6}{13} - \frac{- 7}{13} (x) \frac{7}{24} - \frac{19}{36} (x i) \frac{5}{63} - \frac{- 8}{21}$

Q. Find the sum:

(i) 2 + 4 + 6 ... + 200

(ii) 3 + 11 + 19 + ... + 803

(iii) (−5) + (−8)+ (−11) + ... + (−230)

(iv) 1 + 3 + 5 + 7 + ... + 199

(v)

7 + 10 \frac{1}{2} + 14 + . . . + 84

(vi) 34 + 32 + 30 + ... + 10

(vii) 25 + 28 + 31 + ... + 100

(viii)

18 + 15 \frac{1}{2} + 13 + . . . + (- 49 \frac{1}{2})

Q. Evaluate the following:

(i) −8 − 24 + 31 − 26 − 28 + 7 + 19 − 18 − 8 + 33
(ii) −26 −20 + 33 − (−33) + 21 + 24 − (−25) −26 − 14 − 34

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Evaluate -8–24+31–26–28+7+19–18–8+33

Step 1Separating the same sign terms=(-8–24–26–28–18–8)+(31+7+19+33)Step 2Simplifying the same sign terms and then evaluate=-112+90=-22Hence the result is -22

Evaluate $- 8 - 24 + 31 - 26 - 28 + 7 + 19 - 18 - 8 + 33$

Step 1
Separating the same sign terms
$= (- 8 - 24 - 26 - 28 - 18 - 8) + (31 + 7 + 19 + 33)$
Step 2
Simplifying the same sign terms and then evaluate
$= - 112 + 90 = - 22$
Hence the result is $- 22$