Math Problem Statement

(-3 + 5) + 7 = -3 + (5 + 7)

Solution

The equation in the image is:

(3+5)+7=3+(5+7)(-3 + 5) + 7 = -3 + (5 + 7)

Let's break this down:

Left-hand side:

(3+5)+7=2+7=9(-3 + 5) + 7 = 2 + 7 = 9

Right-hand side:

3+(5+7)=3+12=9-3 + (5 + 7) = -3 + 12 = 9

Both sides of the equation are equal, verifying that this equation holds true. The expression demonstrates the associative property of addition, which allows us to group numbers in different ways when adding, without changing the result.

Would you like more details or have any questions?

Follow-up questions:

  1. What is the associative property of addition, and how does it apply in other cases?
  2. How does the associative property differ from the commutative property?
  3. Can you give an example of how this property works with larger or more complex numbers?
  4. How can we prove this property using algebraic symbols instead of numbers?
  5. How does this property relate to the distributive property in math?

Tip:

When solving equations or simplifying expressions, remember to group terms carefully. This helps to avoid errors and better understand properties like associativity!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Associative Property of Addition

Formulas

(a + b) + c = a + (b + c)

Theorems

Associative Property of Addition

Suitable Grade Level

Grades 6-8