Math Problem Statement

[8\times 9]

[= \purpleE{(5\times}]  [\purpleE){}+\maroonE(\maroonE{ 3 \times 9)}]

[= \purpleE{45} +\maroonE{27}]

[=] 

Solution

Let's break down the steps:

8×9=(5×9)+(3×9)8 \times 9 = (5 \times 9) + (3 \times 9)

Now, calculate the parts:

(5×9)=45and(3×9)=27(5 \times 9) = 45 \quad \text{and} \quad (3 \times 9) = 27

Add the two results:

45+27=7245 + 27 = 72

So, the final result is:

8×9=728 \times 9 = 72

Would you like a more detailed breakdown, or do you have any questions?

Here are 5 related questions for practice:

  1. What is 7×97 \times 9?
  2. Can you apply the same method to solve 6×86 \times 8?
  3. What is the sum of 50+2550 + 25?
  4. How would you solve 8×78 \times 7 using this breakdown method?
  5. What is 9×99 \times 9?

Tip: Breaking down complex multiplication into simpler parts is called the distributive property of multiplication!

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Math Problem Analysis

Mathematical Concepts

Multiplication
Distributive Property

Formulas

a × (b + c) = (a × b) + (a × c)

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 4-6