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Sagot :
Sure, let's solve each part step-by-step.
### a. [tex]\((25 - 8) - (-5 + 17)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(25 - 8 = 17\)[/tex]
- [tex]\(-5 + 17 = 12\)[/tex]
Now, substitute these results back into the expression:
- [tex]\(17 - 12 = 5\)[/tex]
Final result: 5
### e. [tex]\(45 + (-15 - 5) + 4 + 45 - 20 + 4\)[/tex]
First, solve the operation inside the parentheses:
- [tex]\(-15 - 5 = -20\)[/tex]
Now, substitute the result and simplify the expression step-by-step:
- [tex]\(45 - 20 + 4 + 45 - 20 + 4\)[/tex]
- Combine terms: [tex]\(45 + 4 + 45 + 4 - 40\)[/tex]
- [tex]\(45 + 45 + 4 + 4 - 40 = 98 - 40 = 58\)[/tex]
Final result: 58
### b. [tex]\(-13 - (-12 + 6) + (-19 + 8)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-12 + 6 = -6\)[/tex]
- [tex]\(-19 + 8 = -11\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-13 - (-6) + (-11)\)[/tex]
- [tex]\(-13 + 6 - 11\)[/tex]
- Solve step-by-step: [tex]\(-13 + 6 = -7\)[/tex]
- [tex]\(-7 - 11 = -18\)[/tex]
Final result: -18
### f. [tex]\(-(-20 - 31) - 6 + (2 - 15)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-20 - 31 = -51\)[/tex]
- [tex]\(2 - 15 = -13\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-(-51) - 6 + (-13)\)[/tex]
- [tex]\(51 - 6 - 13\)[/tex]
- Solve step-by-step: [tex]\(51 - 6 = 45\)[/tex]
- [tex]\(45 - 13 = 32\)[/tex]
Final result: 32
### c. [tex]\(-30 + (-25 + 18) - (-8 + 21)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-25 + 18 = -7\)[/tex]
- [tex]\(-8 + 21 = 13\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-30 + (-7) - 13\)[/tex]
- [tex]\(-30 - 7 - 13\)[/tex]
- Solve step-by-step: [tex]\(-30 - 7 = -37\)[/tex]
- [tex]\(-37 - 13 = -50\)[/tex]
Final result: -50
### g. [tex]\((-22 + 12) - (8 - 14) + 2\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-22 + 12 = -10\)[/tex]
- [tex]\(8 - 14 = -6\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-10 - (-6) + 2\)[/tex]
- [tex]\(-10 + 6 + 2\)[/tex]
- Solve step-by-step: [tex]\(-10 + 6 = -4\)[/tex]
- [tex]\(-4 + 2 = -2\)[/tex]
Final result: -2
### d. [tex]\(-24 - (1 - 7 + 4)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(1 - 7 = -6\)[/tex]
- [tex]\(-6 + 4 = -2\)[/tex]
Now, substitute this result into the expression:
- [tex]\(-24 - (-2)\)[/tex]
- [tex]\(-24 + 2\)[/tex]
- Solve step-by-step: [tex]\(-24 + 2 = -22\)[/tex]
Final result: -22
### h. [tex]\(-(5 - 9) + 2 + (3 - 7) + 9\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(5 - 9 = -4\)[/tex]
- [tex]\(3 - 7 = -4\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-(-4) + 2 + (-4) + 9\)[/tex]
- [tex]\(4 + 2 - 4 + 9\)[/tex]
- Solve step-by-step: [tex]\(4 + 2 = 6\)[/tex]
- [tex]\(6 - 4 = 2\)[/tex]
- [tex]\(2 + 9 = 11\)[/tex]
Final result: 11
So, the results for each part are:
- a. 5
- e. 58
- b. -18
- f. 32
- c. -50
- g. -2
- d. -22
- h. 11
### a. [tex]\((25 - 8) - (-5 + 17)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(25 - 8 = 17\)[/tex]
- [tex]\(-5 + 17 = 12\)[/tex]
Now, substitute these results back into the expression:
- [tex]\(17 - 12 = 5\)[/tex]
Final result: 5
### e. [tex]\(45 + (-15 - 5) + 4 + 45 - 20 + 4\)[/tex]
First, solve the operation inside the parentheses:
- [tex]\(-15 - 5 = -20\)[/tex]
Now, substitute the result and simplify the expression step-by-step:
- [tex]\(45 - 20 + 4 + 45 - 20 + 4\)[/tex]
- Combine terms: [tex]\(45 + 4 + 45 + 4 - 40\)[/tex]
- [tex]\(45 + 45 + 4 + 4 - 40 = 98 - 40 = 58\)[/tex]
Final result: 58
### b. [tex]\(-13 - (-12 + 6) + (-19 + 8)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-12 + 6 = -6\)[/tex]
- [tex]\(-19 + 8 = -11\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-13 - (-6) + (-11)\)[/tex]
- [tex]\(-13 + 6 - 11\)[/tex]
- Solve step-by-step: [tex]\(-13 + 6 = -7\)[/tex]
- [tex]\(-7 - 11 = -18\)[/tex]
Final result: -18
### f. [tex]\(-(-20 - 31) - 6 + (2 - 15)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-20 - 31 = -51\)[/tex]
- [tex]\(2 - 15 = -13\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-(-51) - 6 + (-13)\)[/tex]
- [tex]\(51 - 6 - 13\)[/tex]
- Solve step-by-step: [tex]\(51 - 6 = 45\)[/tex]
- [tex]\(45 - 13 = 32\)[/tex]
Final result: 32
### c. [tex]\(-30 + (-25 + 18) - (-8 + 21)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-25 + 18 = -7\)[/tex]
- [tex]\(-8 + 21 = 13\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-30 + (-7) - 13\)[/tex]
- [tex]\(-30 - 7 - 13\)[/tex]
- Solve step-by-step: [tex]\(-30 - 7 = -37\)[/tex]
- [tex]\(-37 - 13 = -50\)[/tex]
Final result: -50
### g. [tex]\((-22 + 12) - (8 - 14) + 2\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(-22 + 12 = -10\)[/tex]
- [tex]\(8 - 14 = -6\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-10 - (-6) + 2\)[/tex]
- [tex]\(-10 + 6 + 2\)[/tex]
- Solve step-by-step: [tex]\(-10 + 6 = -4\)[/tex]
- [tex]\(-4 + 2 = -2\)[/tex]
Final result: -2
### d. [tex]\(-24 - (1 - 7 + 4)\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(1 - 7 = -6\)[/tex]
- [tex]\(-6 + 4 = -2\)[/tex]
Now, substitute this result into the expression:
- [tex]\(-24 - (-2)\)[/tex]
- [tex]\(-24 + 2\)[/tex]
- Solve step-by-step: [tex]\(-24 + 2 = -22\)[/tex]
Final result: -22
### h. [tex]\(-(5 - 9) + 2 + (3 - 7) + 9\)[/tex]
First, solve the operations inside the parentheses:
- [tex]\(5 - 9 = -4\)[/tex]
- [tex]\(3 - 7 = -4\)[/tex]
Now, substitute these results into the expression:
- [tex]\(-(-4) + 2 + (-4) + 9\)[/tex]
- [tex]\(4 + 2 - 4 + 9\)[/tex]
- Solve step-by-step: [tex]\(4 + 2 = 6\)[/tex]
- [tex]\(6 - 4 = 2\)[/tex]
- [tex]\(2 + 9 = 11\)[/tex]
Final result: 11
So, the results for each part are:
- a. 5
- e. 58
- b. -18
- f. 32
- c. -50
- g. -2
- d. -22
- h. 11
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