Answer the following questions
1) -7(-15)+3(-2)+4(-3-2)
2) -7+(-15)+3+(-2)+4(-3)-12
3) 7-15-2(-3)-4(-2)-3(4)
4) 2×3-5+1-4+3×2
5) -4-11+6(-3)-3(-2)-11
Answers
Answer:
Step-by-step explanation:
1. 79
2. 79
3. -6
4. 4
5. -38
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Simplification
Simplification is the process of making something simpler. Or, Simplification is the process of replacing a mathematical expression with an equivalent expression, which is simple.
1. -7(-15) + 3(-2) + 4(-3 - 2)
→ 105 + 3(-2) + 4(-3 - 2)
→ 105 + (-6) + 4(-3 - 2)
→ 105 + (-6) + 4(-5)
→ 105 - 6 + (-20)
→ 105 - 6 - 20
→ 99 - 20
→ 79
Hence, the required answer is 79.
2. -7 + (-15) + 3 + (-2) + 4(-3) - 12
→ -7 - 15 + 3 - 2 + 4(-3) - 12
→ -7 - 15 + 3 - 2 + (-12) - 12
→ -7 - 15 + 3 - 2 - 12 - 12
→ -7 - 12 - 2 - 12 - 12
→ -7 - 14 - 12 - 12
→ -21 - 12 - 12
→ -33 - 12
→ -45
Hence, the required answer is -45.
3. 7 - 15 - 2(-3) - 4(-2) - 3(4)
→ 7 - 15 - (-6) - (-8) - 12
→ 7 - 15 + 6 + 8 - 12
→ 7 - 21 + 8 - 12
→ 7 - 29 - 12
→ -22 - 12
→ -34
Hence, the required answer is -34.
4. 2 × 3 - 5 + 1 - 4 + 3 × 2
→ 6 - 5 + 1 - 4 + 3 × 2
→ 6 - 5 + 1 - 4 + 6
→ 6 + 1 + 6 - 5 - 4
→ 13 - 5 - 4
→ 13 - 9
→ 4
Hence, the required answer is 4.
5. -4 - 11 + 6(-3) - 3(-2) - 11
→ -4 - 11 + (-18) - (-6) - 11
→ -4 - 11 - 18 + 6 - 11
→ -4 - 11 - 12 - 11
→ -15 - 12 - 11
→ -27 - 11
→ -38
Hence, the required answer is -38.
Extra Information
This question is solved by BODMAS rule. Where, B refers bracket, O refers of, D refers divide, M refers multiply, A refers addition and S refers subtraction.
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This is a rule to do the sums of simplification.
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First if there is any bracket in problems we need to solve the operations of that bracket. Then we need to solve "of" which stands for multiplication only. After this we need solve for multiply. After that addition and at last subtraction as S is in last.
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While solving these types of questions, always remember the important concept listed below:
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- (-) (-) = (+)
- (-) (+) = (-)
- (+) (+) = (+)
- (+) (-) = (-)