Math Problem Statement

Demonstrate how the product 18 · 2 can be rearranged using properties of arithmetic into the product 12 · 3, without using the product of 36

[Hint: Below is a demonstration of how 9 · 2 can be rearranged using properties of arithmetic to become 6 · 3 9 · 2 = (3 · 3) · 2 = 3 · (3 · 2) = 3 · 6 = 6 · 3]

Solution

To demonstrate how the product 18218 \cdot 2 can be rearranged into 12312 \cdot 3 using properties of arithmetic, we can follow a similar process as the example with 929 \cdot 2.

Step-by-step rearrangement:

  1. Start with the product:
    18218 \cdot 2

  2. Factor 18 into 636 \cdot 3: (63)2(6 \cdot 3) \cdot 2

  3. Use the associative property to rearrange the parentheses: 6(32)6 \cdot (3 \cdot 2)

  4. Multiply 323 \cdot 2 to get 6: 666 \cdot 6

  5. Now, factor 6 into 323 \cdot 2: (32)6(3 \cdot 2) \cdot 6

  6. **Again

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Associative Property
Factorization

Formulas

a · b · c = a · (b · c)

Theorems

Associative Property of Multiplication

Suitable Grade Level

Grades 5-6