Math Problem Statement

Evaluate if a = -8, b = -3, c = 10. Find the value of a - b - c.

Solution

Let's evaluate the expression abca - b - c given that:

  • a=8a = -8
  • b=3b = -3
  • c=10c = 10

Step-by-Step Solution:

  1. Start by substituting the values of aa, bb, and cc into the expression: (8)(3)10(-8) - (-3) - 10

  2. Simplify the subtraction of a negative number: (8)+310(-8) + 3 - 10

  3. Perform the addition and subtraction from left to right: 8+3=5-8 + 3 = -5 510=15-5 - 10 = -15

Thus, the result of the expression abca - b - c is 15\boxed{-15}.

Would you like further details on any of the steps, or do you have any questions?

5 Related Questions:

  1. How do you handle expressions with multiple negative numbers?
  2. Can subtraction of negative numbers be rewritten as addition?
  3. What are the rules for the order of operations in arithmetic?
  4. How do you simplify expressions that include both positive and negative integers?
  5. How do parentheses affect the evaluation of mathematical expressions?

Tip:

When dealing with subtraction of negative numbers, remember to rewrite it as adding the opposite value. This helps avoid confusion and mistakes in calculations!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Subtraction
Negative Numbers

Formulas

Subtraction formula: a - b = a + (-b)

Theorems

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Suitable Grade Level

Grades 6-8