Question

For each of the following expressions rewrite it in a way that would make it easier to simplify. State whether you used the associative, commutative or distributive property.

1.

15(10 - 2)



2.

(24 + 18) + (12 + 6)



3.

5 times 13 times 2.




4.

94 + 17 + 53 + 6




5.

25 (14)



6. 25 times (4 times 17)

(PLEASE BE VERY CORRECT)

Answer 1

1. 15(10 - 2)....distribute....150 - 30 = 120
2. (24 + 18) + (12 + 6).....commutative....(24 + 6) + (12 + 18) = 30 + 30 = 60
3. 5 * 13 * 2.....commutative.....5 * 2 * 13 = 10 * 13 = 130
4. 94 + 17 + 53 + 6....commutative...94 + 6 + 17 + 53 = 100 + 70 = 170
5. 25(14) ...distribute..25 * 10 + 25 * 4 = 250 + 100 = 350
6. 25 * (4 * 17)...associative....(25 * 4) * 17 = 100 * 17 = 1700