Math Problem Statement

Write an equivalent expression by distributing the "minus−" sign outside the parentheses:

minus, 6, point, 3, y, minus, left parenthesis, minus, 10, z, minus, 0, point, 3, right parenthesis

−6.3y−(−10z−0.3)

Solution

To distribute the minus sign outside the parentheses in the expression:

6.3y(10z0.3)-6.3y - \left(-10z - 0.3\right)

Follow these steps:

  1. Distribute the minus sign to each term inside the parentheses: (10z)(0.3)-(-10z) - (-0.3)

  2. The minus sign changes the sign of each term inside the parentheses: 10z+0.310z + 0.3

  3. Substitute this result back into the original expression: 6.3y+10z+0.3-6.3y + 10z + 0.3

So, the equivalent expression is:

6.3y+10z+0.3-6.3y + 10z + 0.3

Would you like more details or have any questions?

Here are 5 related questions:

  1. How does the distributive property affect addition inside the parentheses?
  2. What is the equivalent expression for (3x5y)-\left(3x - 5y\right)?
  3. Can you apply the distributive property to (6.3y+10z)-\left(-6.3y + 10z\right)?
  4. What happens if the parentheses contain a single term like (4x)-(-4x)?
  5. How can you factor the expression 6.3y+10z+0.3-6.3y + 10z + 0.3?

Tip: When distributing a minus sign, remember that it changes the sign of every term inside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Distributive Property
Negative Numbers
Algebra

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12