Math Problem Statement

−6.3y−(−10z−0.3) distributive

Solution

To apply the distributive property, we need to distribute the negative sign in front of the parentheses.

Given expression: 6.3y(10z0.3)-6.3y - (-10z - 0.3)

Step-by-step solution:

  1. First, distribute the negative sign to each term inside the parentheses: 6.3y(10z)(0.3)-6.3y - (-10z) - (-0.3)

  2. Simplify the signs: 6.3y+10z+0.3-6.3y + 10z + 0.3

So the simplified expression is: 6.3y+10z+0.3-6.3y + 10z + 0.3

Would you like more details on this process or have any questions?

Here are five related questions:

  1. How is the distributive property used with multiplication?
  2. How do you simplify expressions with multiple variables?
  3. What are common mistakes when applying the distributive property?
  4. Can the distributive property be applied to equations with fractions?
  5. How do you factor expressions using the distributive property?

Tip: Always be careful with signs (positive/negative) when distributing across parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplifying Expressions

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition and Subtraction

Suitable Grade Level

Grades 8-10