Math Problem Statement

Evaluate −15 + (−20) ÷ 5.

Solution

The expression to evaluate is:

15+(20)÷5-15 + (-20) \div 5

We will follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

  1. First, perform the division: 20÷5=4-20 \div 5 = -4

  2. Now, substitute 4-4 back into the expression: 15+(4)-15 + (-4)

  3. Simplify the addition: 15+(4)=19-15 + (-4) = -19

So, the correct result is 19-19, not 7-7.

Would you like more details, or have any questions?

Here are 5 related questions to practice:

  1. Evaluate 30+(40)÷8-30 + (-40) \div 8.
  2. Solve 2015+(35)÷720 - 15 + (-35) \div 7.
  3. What is 12+36÷(6)-12 + 36 \div (-6)?
  4. Compute 5+(25)÷5×2-5 + (-25) \div 5 \times 2.
  5. Evaluate 10+(20)÷(4)10 + (-20) \div (-4).

Tip: Always perform division and multiplication before addition and subtraction when evaluating expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

Order of Operations

Suitable Grade Level

Grade 6-7