Explore these questions and any others that may occur to you. Discuss them with the class. Class 8

Explore these questions and any others that may occur to you. Discuss them with the class. Class 8

Question 1.

Explore these questions and any others that may occur to you. Discuss them with the class. Class 8

Solution:

Do as directed. For example, number 2 cannot be expressed as sum of consecutive numbers.

Question 2.

Evaluate each expression and write the result next to it. Do you notice anything interesting? Class 8

Solution:

3 + 4 + 5 + 6 = 18

3 + 4 + 5 - 6 = 6

3 + 4 — 5 + 6 = 8

3 + 4 — 5 - 6 = -4

3 — 4 + 5 + 6 = 10

3 — 4 + 5 — 6 = -2 3

— 4 — 5 + 6 = 0

3 — 4 —5 — 6 = —12

We notice that the final sum is always divisible by 2.