Math Problem Statement

Which other expression has the same value as (-14) - 8?

Solution

The question asks which expression has the same value as (14)8(-14) - 8.

To solve this:

  1. (14)8(-14) - 8 simplifies to: 148=22-14 - 8 = -22 So, the value is 22-22.

Now let's evaluate each option to see which one equals 22-22:

  • Option a: (14)+8(-14) + 8 14+8=6(Not the same as 22)-14 + 8 = -6 \quad (\text{Not the same as } -22)
  • Option b: 14(8)14 - (-8) 14(8)=14+8=22(Not the same as 22)14 - (-8) = 14 + 8 = 22 \quad (\text{Not the same as } -22)
  • Option c: 14+(8)14 + (-8) 14+(8)=6(Not the same as 22)14 + (-8) = 6 \quad (\text{Not the same as } -22)
  • Option d: (14)+(8)(-14) + (-8) 14+(8)=148=22(This matches the original expression!)-14 + (-8) = -14 - 8 = -22 \quad (\text{This matches the original expression!})

So, Option d is the correct answer, as it gives the same value of 22-22.

Would you like further clarification or details?


Here are 5 related questions to expand your understanding:

  1. How do you simplify expressions involving negative numbers?
  2. What is the difference between subtracting and adding negative numbers?
  3. Can you explain how parentheses affect the calculation in an expression?
  4. How would you rewrite (14)8(-14) - 8 using addition instead of subtraction?
  5. Why does (14)+(8)(-14) + (-8) simplify to 22-22?

Tip: When subtracting a number, it's equivalent to adding its negative. For example, 148-14 - 8 is the same as 14+(8)-14 + (-8).

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Math Problem Analysis

Mathematical Concepts

Negative Numbers
Arithmetic Operations

Formulas

Subtraction of integers
Addition of integers

Theorems

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Suitable Grade Level

Middle School