Question

Give examples of associative property, comparative property, declarative property.
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Answer 1

Answer:

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Example:

5 \times 4 \times 25×4×25, times, 4, times, 2

Let's start by grouping the \blueD{5}5start color #11accd, 5, end color #11accd and the \blueD{4}4start color #11accd, 4, end color #11accd together. We can evaluate the expression step by step.

\phantom{=}(\blueD{5 \times 4}) \times 2=(5×4)×2empty space, left parenthesis, start color #11accd, 5, times, 4, end color #11accd, right parenthesis, times, 2

= \blueD{20} \times 2=20×2equals, start color #11accd, 20, end color #11accd, times, 2

= 40=40equals, 40

Now let's group the \purpleD{4}4start color #7854ab, 4, end color #7854ab and the \purpleD{2}2start color #7854ab, 2, end color #7854ab together.

\phantom{=}5 \times (\purpleD{4 \times 2})=5×(4×2)empty space, 5, times, left parenthesis, start color #7854ab, 4, times, 2, end color #7854ab, right parenthesis

=5 \times \purpleD{8}=5×8equals, 5, times, start color #7854ab, 8, end color #7854ab

=40=40equals, 40