Math Problem Statement

Simplify the following: -20 - 5 + 4 - (-1)

Solution

In the problem shown in the image, the goal is to simplify the expression:

205+4(1)-20 - 5 + 4 - (-1)

Current Steps:

  1. The expression given is: 205+4(1)-20 - 5 + 4 - (-1)
  2. This becomes: 20+5+4+1-20 + 5 + 4 + 1 (Note: This is the step where a mistake occurs, since subtracting 1-1 is the same as adding 11, but the other signs were not handled properly).
  3. The final answer provided is: 10-10

Correct Solution:

  1. Let's break this down step by step: 205+4(1)-20 - 5 + 4 - (-1) First, handle the subtraction of a negative number: 205+4+1-20 - 5 + 4 + 1
  2. Now, simplify: 205=25-20 - 5 = -25 25+4=21-25 + 4 = -21 21+1=20-21 + 1 = -20

Correct Answer:

The correct final answer is 20-20, not 10-10. The mistake lies in the misinterpretation of the addition and subtraction steps.

Would you like any more details or have further questions?

Here are 5 related questions:

  1. How do you handle subtraction of negative integers?
  2. What are the rules for adding and subtracting integers?
  3. How can you break down complex expressions into smaller parts?
  4. What is the difference between subtracting a number and subtracting a negative number?
  5. How would you simplify the expression 306+3(2)-30 - 6 + 3 - (-2)?

Tip: Always double-check the signs when working with negative numbers, especially when subtracting negatives!

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Math Problem Analysis

Mathematical Concepts

Addition and Subtraction of Integers
Handling Negative Numbers

Formulas

n - (-m) = n + m
n + (-m) = n - m

Theorems

Commutative Property of Addition
Associative Property of Addition

Suitable Grade Level

Grades 6-8