Math Problem Statement

Evaluate the expression: 6 + ( 9 + 7 x 5 )

Solution

To evaluate the expression 6+(9+7×5)6 + (9 + 7 \times 5), follow the order of operations (PEMDAS):

  1. Parentheses
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Step 1: Solve inside the parentheses first.

9+7×59 + 7 \times 5

Within the parentheses, we do the multiplication before the addition: 7×5=357 \times 5 = 35 Now the expression inside the parentheses becomes: 9+35=449 + 35 = 44

Step 2: Add the result to the outer part of the expression.

Now, the expression becomes: 6+44=506 + 44 = 50

So, the value of the expression is: 50\boxed{50}

Would you like further details on the steps or have any questions?

Here are some related questions for practice:

  1. Evaluate 8+(6×2+4)8 + (6 \times 2 + 4).
  2. Simplify 5+(3+9×2)5 + (3 + 9 \times 2).
  3. What is 4+(7×35)4 + (7 \times 3 - 5)?
  4. Calculate 12+(10+2×6)12 + (10 + 2 \times 6).
  5. Evaluate 15+(8+3×5)15 + (8 + 3 \times 5).

Tip: Always remember to follow the order of operations (PEMDAS) when solving expressions.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8