Math Problem Statement

Solve the equations: 1) 5,078 + 1.2 - 6.003, 2) 5,250 - 3.8 + 2.7, 3) 0.7 - 0.098 + 0.789, 4) 0.20 + 0.1 - 0.299.

Solution

Let's solve the equations shown in the image:

  1. 5,078+1.26.0035,078 + 1.2 - 6.003:

    5.078+1.2=6.2785.078 + 1.2 = 6.278

    6.2786.003=0.2756.278 - 6.003 = 0.275

    So, the result is 0.275.

  2. 5,2503.8+2.75,250 - 3.8 + 2.7:

    5.2503.8=1.4505.250 - 3.8 = 1.450

    1.450+2.7=4.1501.450 + 2.7 = 4.150

    So, the result is 4.15.

  3. 0.70.098+0.7890.7 - 0.098 + 0.789:

    0.70.098=0.6020.7 - 0.098 = 0.602

    0.602+0.789=1.3910.602 + 0.789 = 1.391

    So, the result is 1.391.

  4. 0.20+0.10.2990.20 + 0.1 - 0.299:

    0.20+0.1=0.300.20 + 0.1 = 0.30

    0.300.299=0.0010.30 - 0.299 = 0.001

    So, the result is 0.001.

Let me know if you would like further details or have any questions!

Here are some related questions you might find interesting:

  1. What is the difference between addition and subtraction when it comes to solving equations with decimals?
  2. How do decimal places affect the precision of calculations?
  3. Can you think of a situation where rounding decimals is more practical?
  4. How can we handle subtraction of negative decimals differently?
  5. What are some common errors to avoid when adding and subtracting decimals?

Tip: Always line up decimal points when adding or subtracting to avoid mistakes in your calculation.

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Math Problem Analysis

Mathematical Concepts

Addition
Subtraction
Decimals

Formulas

Basic arithmetic: addition and subtraction of decimals

Theorems

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Suitable Grade Level

Grades 5-7