Question

1. number sense newton uses two properties to rewrite the expression (4 × 23) × 25. identify the properties he uses. why would newton use these properties? (4 × 23) × 25 = 23 × (4 × 25)

Explanation:

The commutative property of multiplication allows changing the order of factors (swapping 4 and 23 here). The associative property of multiplication allows changing the grouping of factors. Using these properties can make the calculation easier as 4×25 = 100, and then multiplying by 23 is straightforward.

Answer:

He uses the commutative property of multiplication and the associative property of multiplication. He uses them to make the calculation more convenient since 4×25 = 100 and then 100×23 is easy to compute.