Math Problem Statement

What do you get when you solve G: 6 · 22 - 15, A: 4 - 16 ÷ 4 + 9, and M: 15 · 12 + 428? Add the results and match the sum to the table provided.

Solution

The problem in the image asks to solve several equations, sum up the results, and match the sum to the corresponding letter in a given table.

Here’s a breakdown:

Equations:

  1. G: 6 · 22 - 15 62215=13215=1176 \cdot 22 - 15 = 132 - 15 = 117

  2. A: 4 - 16 ÷ 4 + 9 Follow the order of operations (PEMDAS): 4(16÷4)+9=44+9=94 - (16 ÷ 4) + 9 = 4 - 4 + 9 = 9

  3. M: 15 · 12 + 428 1512+428=180+428=60815 \cdot 12 + 428 = 180 + 428 = 608

Total Sum:

117+9+608=734117 + 9 + 608 = 734

Matching the sum (734) with the table:

The sum "734" corresponds to the letter T in the table.

Would you like more details or have any further questions?


Here are five related questions for further practice:

  1. What is the order of operations (PEMDAS) and why is it important in solving equations?
  2. How would the result change if we incorrectly calculated the sum of the second equation first?
  3. Can you think of any situation where the order of operations may not apply?
  4. How would you solve these problems if they were represented as algebraic expressions instead?
  5. How do you approach checking your work after solving a multi-step math problem?

Tip: Always remember to follow the order of operations to avoid errors in complex calculations.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Order of Operations (PEMDAS)

Formulas

Multiplication
Division
Addition
Subtraction

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8