Math Problem Statement

solve

-5 + (-4) - 3 · 11 + (-2)^3 = ? and (6 - (-4)) / -2 + (-2 + 14) / -4 = ?

Solution

Let's solve Question 5 and Question 6 step by step.


Question 5:

5+(4)311+(2)3-5 + (-4) - 3 \cdot 11 + (-2)^3

  1. Simplify each part step by step:

    • 5+(4)=9-5 + (-4) = -9
    • 311=333 \cdot 11 = 33
    • (2)3=8(-2)^3 = -8 (because 222=8-2 \cdot -2 \cdot -2 = -8)
  2. Substitute back into the equation: 933+(8)-9 - 33 + (-8)

  3. Combine:

    • 933=42-9 - 33 = -42
    • 42+(8)=50-42 + (-8) = -50

Final Answer for Question 5: 50\boxed{-50}


Question 6:

6(4)2+2+144\frac{6 - (-4)}{-2} + \frac{-2 + 14}{-4}

  1. Simplify the numerators and denominators step by step:

    • 6(4)=6+4=106 - (-4) = 6 + 4 = 10, so 102=5\frac{10}{-2} = -5
    • 2+14=12-2 + 14 = 12, so 124=3\frac{12}{-4} = -3
  2. Combine the results: 5+(3)=53=8-5 + (-3) = -5 - 3 = -8

Final Answer for Question 6: 8\boxed{-8}


Do you need further explanation on any step? Let me know!


Related Questions:

  1. Simplify (3)2+(4)252(-3)^2 + (-4)^2 - 5 \cdot 2.
  2. Solve 12+84+1642\frac{-12 + 8}{4} + \frac{16 - 4}{2}.
  3. Evaluate 3(5)2(2)3+73 \cdot (-5)^2 - (-2)^3 + 7.
  4. Calculate 5(3)28+44\frac{5 - (-3)}{2} - \frac{8 + 4}{-4}.
  5. Simplify (6+9)(2)+(3)2(-6 + 9) \cdot (-2) + (-3)^2.

Tip:

Always follow the order of operations: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right) — also known as PEMDAS.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)
Negative Numbers
Exponents
Fractions

Formulas

a^3 for cube of a number
Addition/Subtraction of negative numbers
Multiplication and Division of integers

Theorems

Order of Operations (PEMDAS)
Simplification of expressions

Suitable Grade Level

Grades 6-8