Question

one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.​

Answer 1

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!