Question

I have 3 questions:

1) If ABC and DEF are three- digit numbers, which of the following could be the number of digits in the product of ABC and DEF?
i. 4
ii. 5
iii. 6

I don't have the vaguest idea on how to do this and what type of math it is part of... My answer is 6 only but I am not sure.

2) How many of the integers from -10 to 10, inclusive, are even?

A. 9
B. 10
C. 11
D. 12
E. 13

Other than counting the numbers one by one to get B. 10, is there a way to do such questions algebraically?

3)(homework check) Every student from Mrs. C's sixth grade class is between 50 and 64 inches tall. If n inches is the height in inches of a student in her class, which of the following represent all possible values of n?

A. |50+n|<64
B. |50+n|>64
C. |57-n|<7
D. |57-n|=7
E. |64-n|>14

Is the answer B.?

Answer 1

1. Depending on the values of the numbers, it could be 5 or 6. Try 100^2 and 999^2. Are you searching for a maximum or minimum?

2. I don't know either.

3. Agree.