Math Problem Statement

5.02-0.4(5 + 0.05)

Solution

Let's solve the expression step by step:

5.020.4(5+0.05)5.02 - 0.4(5 + 0.05)

  1. First, calculate the expression inside the parentheses: 5+0.05=5.055 + 0.05 = 5.05

  2. Now, multiply 0.40.4 by 5.055.05: 0.4×5.05=2.020.4 \times 5.05 = 2.02

  3. Finally, subtract 2.022.02 from 5.025.02: 5.022.02=3.005.02 - 2.02 = 3.00

Thus, the result is: 3.00\boxed{3.00}

Would you like more details or have any questions? Here are 5 related questions for practice:

  1. Simplify: 6.50.3(8+0.1)6.5 - 0.3(8 + 0.1).
  2. Solve: 4.5+0.7(3+0.2)4.5 + 0.7(3 + 0.2).
  3. What is 2.80.5(6+0.4)2.8 - 0.5(6 + 0.4)?
  4. Simplify the expression: 100.6(4+0.25)10 - 0.6(4 + 0.25).
  5. Evaluate: 7.010.5(2.5+0.1)7.01 - 0.5(2.5 + 0.1).

Tip: Always follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

Basic arithmetic operations: addition, multiplication, subtraction

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8