Math Problem Statement

1) 5 - 4.999 + 0.795 = ? 2) 0.12 + 8.079 - 4.108 = ? 3) 0.12 + 0.001 - 0.007 = ? 4) 12 + 0.04 - 8.012 = ?

Solution

Let's solve the given problems step by step:

1. 54.999+0.7955 - 4.999 + 0.795

  • First, subtract 54.999=0.0015 - 4.999 = 0.001
  • Then, add 0.001+0.795=0.7960.001 + 0.795 = 0.796

Result: 0.7960.796

2. 0.12+8.0794.1080.12 + 8.079 - 4.108

  • First, add 0.12+8.079=8.1990.12 + 8.079 = 8.199
  • Then, subtract 8.1994.108=4.0918.199 - 4.108 = 4.091

Result: 4.0914.091

3. 0.12+0.0010.0070.12 + 0.001 - 0.007

  • First, add 0.12+0.001=0.1210.12 + 0.001 = 0.121
  • Then, subtract 0.1210.007=0.1140.121 - 0.007 = 0.114

Result: 0.1140.114

4. 12+0.048.01212 + 0.04 - 8.012

  • First, add 12+0.04=12.0412 + 0.04 = 12.04
  • Then, subtract 12.048.012=4.02812.04 - 8.012 = 4.028

Result: 4.0284.028

Let me know if you want more details or explanations for any of the steps!

Here are five related questions you might find useful:

  1. What is the general rule for adding and subtracting decimals?
  2. How can I quickly verify subtraction involving decimals?
  3. Why is aligning decimal points crucial when performing operations?
  4. How can rounding affect results in decimal calculations?
  5. What are some common pitfalls when adding and subtracting decimals?

Tip: When adding or subtracting decimals, always align the decimal points to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Decimal Addition
Decimal Subtraction
Basic Arithmetic

Formulas

a + b - c
Aligning decimal points for addition and subtraction

Theorems

Commutative Property of Addition
Associative Property of Addition

Suitable Grade Level

Grades 5-7