Math Problem Statement

Describe the steps necessary to find the value of the expression: 2[5 + 6 ÷ 2 - (4 + 3)]

Solution

The problem requires solving mathematical expressions and describing the steps. I will walk through each part of the image to help solve it. Let’s focus on Problem 1 first:

Expression:
2[5+6÷2(4+3)]2[5 + 6 \div 2 - (4 + 3)]

Steps to Solve:

  1. Simplify inside parentheses
    Evaluate (4+3)(4 + 3):
    4+3=74 + 3 = 7

    The expression now becomes:
    2[5+6÷27]2[5 + 6 \div 2 - 7]

  2. Division comes next (following the order of operations - PEMDAS/BODMAS)
    Evaluate 6÷26 \div 2:
    6÷2=36 \div 2 = 3

    Update the expression:
    2[5+37]2[5 + 3 - 7]

  3. Simplify addition and subtraction inside the brackets
    5+3=85 + 3 = 8
    87=18 - 7 = 1

    Now, the expression becomes:
    2[1]2[1]

  4. Final multiplication
    Multiply 2×12 \times 1:
    22

Final Answer:

The value of the expression is 2.

Would you like me to solve the other problems or explain a specific step further?


Here are 5 related questions for practice:

  1. What is the result of 3[8÷2(2+4)]3[8 \div 2 - (2 + 4)]?
  2. Why is it important to follow the order of operations when solving expressions?
  3. How do parentheses change the priority of calculations in an expression?
  4. Solve 4+2×[6÷3]4 + 2 \times [6 \div 3].
  5. If the brackets are removed from 2[5+6÷2(4+3)]2[5 + 6 \div 2 - (4 + 3)], how does the solution change?

Tip: Always solve inside parentheses and brackets first, then handle exponents, division/multiplication, and addition/subtraction in the proper order.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS/BODMAS)
Arithmetic Operations
Parentheses and Brackets

Formulas

PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)

Theorems

Order of Operations Rule

Suitable Grade Level

Grades 5-7