Math Problem Statement

Create a single equation with the numbers 2,5,10,11,13,18.

Solution

Sure! Here is a single equation using the numbers 2, 5, 10, 11, 13, and 18:

2+5×1011=18132 + 5 \times 10 - 11 = 18 - 13

Let's break down the equation step by step:

  1. Multiply 5 by 10: 5×10=505 \times 10 = 50

  2. Add 2 to the result: 2+50=522 + 50 = 52

  3. Subtract 11 from the result: 5211=4152 - 11 = 41

  4. Subtract 13 from 18: 1813=518 - 13 = 5

The equation doesn't balance as it stands. To create a proper equation, consider the following:

1813=518 - 13 = 5

Let's adjust the equation:

2+5×(1011)+13=182 + 5 \times (10 - 11) + 13 = 18

Now let's solve it step by step:

  1. Subtract 11 from 10: 1011=110 - 11 = -1

  2. Multiply the result by 5: 5×1=55 \times -1 = -5

  3. Add 2 to the result: 2+(5)=32 + (-5) = -3

  4. Add 13 to the result: 3+13=10-3 + 13 = 10

This is also not balancing the equation. Another approach:

2+185×10+13=112 + 18 - 5 \times 10 + 13 = 11

This also does not satisfy the equation correctly.

Final correct equation:

2+5×1018=1352 + 5 \times 10 - 18 = 13 - 5

Let's simplify step by step:

  1. Multiply 5 by 10: 5×10=505 \times 10 = 50

  2. Add 2: 2+50=522 + 50 = 52

  3. Subtract 18: 5218=3452 - 18 = 34

  4. Subtract 5 from 13: 135=813 - 5 = 8

These steps do not lead to the correct outcome.

Let's write a new and simpler equation:

10+2+5=1811+1310 + 2 + 5 = 18 - 11 + 13

17=2017 = 20

Correct simplified equation:

2+185+1310=182 + 18 - 5 + 13 - 10 = 18

Simplifying:

  1. 2+18=202 + 18 = 20
  2. 205=1520 - 5 = 15
  3. 15+13=2815 + 13 = 28
  4. 2810=1828 - 10 = 18

Finally, the correct and simplest equation:

2+185+1310=182 + 18 - 5 + 13 - 10 = 18

Do you want more details or have any questions?

Here are some related questions:

  1. How do you balance an equation correctly?
  2. What are some methods to simplify complex equations?
  3. How do you handle equations with multiple variables?
  4. What are some common mistakes in solving equations?
  5. How does the order of operations affect equation solving?
  6. Can you explain the distributive property in equations?
  7. What is the difference between an equation and an expression?
  8. How do you solve quadratic equations?

Tip: Always check your final answer by substituting back into the original equation to ensure it balances correctly.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6