0) 5 – 6 \times -8 = 65 6) 10 \div 5 + 4 = 7 + 14 \div -2 = d) -12 \times 3 + 16 = e) (9 – 11) \times -5 = f) 7 \times 8 \div -4 = g) 20 \div 4 \div -2 \times 3 = h) 11 – (-5 \times 3 + 7) =
The Correct Answer and Explanation is:
Let’s solve each expression step by step.
1) 5−6×−85 – 6 \times -85−6×−8
First, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
- Multiply 6×−8=−486 \times -8 = -486×−8=−48
- Now, subtract 5−(−48)=5+48=535 – (-48) = 5 + 48 = 535−(−48)=5+48=53
Answer: 53
6) 10÷5+410 \div 5 + 410÷5+4
First, divide:
- 10÷5=210 \div 5 = 210÷5=2
Now, add: - 2+4=62 + 4 = 62+4=6
Answer: 6
7) 7+14÷−27 + 14 \div -27+14÷−2
Follow the order of operations. First, divide:
- 14÷−2=−714 \div -2 = -714÷−2=−7
Now, add: - 7+(−7)=07 + (-7) = 07+(−7)=0
Answer: 0
d) −12×3+16-12 \times 3 + 16−12×3+16
Start with multiplication:
- −12×3=−36-12 \times 3 = -36−12×3=−36
Now, add: - −36+16=−20-36 + 16 = -20−36+16=−20
Answer: -20
e) (9−11)×−5(9 – 11) \times -5(9−11)×−5
First, calculate the parentheses:
- 9−11=−29 – 11 = -29−11=−2
Now, multiply: - −2×−5=10-2 \times -5 = 10−2×−5=10
Answer: 10
f) 7×8÷−47 \times 8 \div -47×8÷−4
First, multiply and divide from left to right:
- 7×8=567 \times 8 = 567×8=56
- Now, divide 56÷−4=−1456 \div -4 = -1456÷−4=−14
Answer: -14
g) 20÷4÷−2×320 \div 4 \div -2 \times 320÷4÷−2×3
First, divide and multiply from left to right:
- 20÷4=520 \div 4 = 520÷4=5
- 5÷−2=−2.55 \div -2 = -2.55÷−2=−2.5
- −2.5×3=−7.5-2.5 \times 3 = -7.5−2.5×3=−7.5
Answer: -7.5
h) 11−(−5×3+7)11 – (-5 \times 3 + 7)11−(−5×3+7)
First, calculate the expression inside the parentheses:
- −5×3=−15-5 \times 3 = -15−5×3=−15
- −15+7=−8-15 + 7 = -8−15+7=−8
Now, subtract: - 11−(−8)=11+8=1911 – (-8) = 11 + 8 = 1911−(−8)=11+8=19
Answer: 19
So, the final answers are:
- 53
- 6
- 0
- d) -20
- e) 10
- f) -14
- g) -7.5
- h) 19
