Math Problem Statement

The image contains various mathematical expressions focusing on the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The problems include simplifying expressions like 3(8 - 4), 18 ÷ (6 - 1), and more.

Solution

The image you have uploaded shows several mathematical expressions involving the order of operations (often referred to as PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).

Let me analyze and solve the problems for you.

  1. Problem 28:
    3(84)3(8 - 4)

    Solution:
    First, solve the parentheses:
    84=48 - 4 = 4
    Then multiply:
    3×4=123 \times 4 = 12
    Answer: 1212

  2. Problem 29:
    18÷(61)18 \div (6 - 1)

    Solution:
    First, solve the parentheses:
    61=56 - 1 = 5
    Then divide:
    18÷5=3.618 \div 5 = 3.6
    Answer: 3.63.6

  3. Problem 30:
    3×[4+(12÷4)]3 \times [4 + (12 \div 4)]

    Solution:
    First, solve the division inside the parentheses:
    12÷4=312 \div 4 = 3
    Then solve the parentheses:
    4+3=74 + 3 = 7
    Finally, multiply:
    3×7=213 \times 7 = 21
    Answer: 2121

  4. Problem 31:
    9712÷3\frac{9 - 7}{12 \div 3}

    Solution:
    First, solve the subtraction in the numerator:
    97=29 - 7 = 2
    Then solve the division in the denominator:
    12÷3=412 \div 3 = 4
    Now, divide the fraction:
    24=0.5\frac{2}{4} = 0.5
    Answer: 0.50.5

  5. Problem 32:
    (6÷2)×5(6 \div 2) \times 5

    Solution:
    First, solve the division:
    6÷2=36 \div 2 = 3
    Then multiply:
    3×5=153 \times 5 = 15
    Answer: 1515

Would you like more detailed explanations on any of these problems? Also, here are some related questions for further practice:

  1. Solve 5+6×(31)5 + 6 \times (3 - 1).
  2. Simplify 4×(102)÷24 \times (10 - 2) \div 2.
  3. Solve (8+2)÷(3×2)(8 + 2) \div (3 \times 2).
  4. Calculate 20÷(2×5)+320 \div (2 \times 5) + 3.
  5. Simplify 18+63\frac{18 + 6}{3}.

Tip: Always start with operations inside parentheses and follow the PEMDAS rule (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Multiplication
Addition
Subtraction

Formulas

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

Theorems

Basic Arithmetic Theorems

Suitable Grade Level

Grades 5-7