Math Problem Statement

8 x (5 + 4) = 8 x __ + 8 x __

Solution

The problem in the image shows an application of the distributive property. Here's the expression that appears:

8×(5+4)=8×_+8×_8 \times (5 + 4) = 8 \times \_ + 8 \times \_

To solve this:

  1. Apply the distributive property: 8×(5+4)=(8×5)+(8×4)8 \times (5 + 4) = (8 \times 5) + (8 \times 4) So, the blanks should be filled with 5 and 4: 8×5+8×48 \times 5 + 8 \times 4

  2. Now compute the individual products: 8×5=408 \times 5 = 40 8×4=328 \times 4 = 32

  3. Add them together: 40+32=7240 + 32 = 72

Thus, the completed equation is: 8×(5+4)=8×5+8×4=40+32=728 \times (5 + 4) = 8 \times 5 + 8 \times 4 = 40 + 32 = 72

Would you like further details or explanations?

Here are 5 related questions for practice:

  1. What is the distributive property of multiplication over addition?
  2. How can we apply the distributive property to 6×(3+7)6 \times (3 + 7)?
  3. What is the result of 9×(4+5)9 \times (4 + 5) using the distributive property?
  4. How would you solve 7×(2+8)7 \times (2 + 8) step-by-step?
  5. Can you apply the distributive property to algebraic expressions like 2(x+y)2(x + y)?

Tip: The distributive property is a powerful tool for simplifying expressions and solving multiplication problems more easily.

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Math Problem Analysis

Mathematical Concepts

Distributive Property
Multiplication

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 3-5