This is for Connections Academy

Number Theory and Fractions_Unit 5_Lesson 11_(Unit test Part 1)

1. B. (8)
2. C. (1,2,3,4,6,8,12,16,24,48)
3. B. (2^3 x 3 x 7) or (2 x 2 x 2 x 3 x 7)
4. C. (6)
5. C. (15)
6. B. (12/32)
7. C. (5/11)
8. D. (3/4)
9. C. (10/3)
10. B. (2 1/4)
11. A. (43/8, 5 3/8)
12. D. (76)
13. A. (30)
14 C. (3 7/21 = 3 1/3)
15. D. (5 8/25)
16. B. (2.26)
17. B. (2 3/20 < 2 1/4 < 2 3/20)
18. A. (1/8, 2/5, 0.75, 5/6)
19. 5 (Write down)
20. B,C (4.25 = 17/4) (4 1/4 = 17/4)
21. B (Too tired to write that down)
Essay=
22. Prime factorization: made up of primes, each to some power. In this case, 2,3,5,11 are primes, but 8 is not, it is 2^3, so the prime factorization should be 2^5 *3 *5^4 *11^2. (Change the words up a bit so they wont notice and just copy and paste it)
23. C. (0.4)

OMG THIS TOOK SO LONG TO DO!!!!
BTW this is only for connections academy so if you want to take the risk then okay!

1 answer

I see your question as ....
"Find a digit that makes _ 2,440 divisible by 9", the rest of your post is just a
collection of characters, and has nothing to do with your question.

For a number to be divisible by 9, the sum of its digits must be divisible by 9
e.g. 456921 is divisible by 9 because 4+5+6+9+2+1 = 27, which is divisible by 9

So for your number, so far we have 2+4+4+0 = 10
our next multiple of 9 is 18, so we need an 8 in your empty spot

your number is 82440 ,
test it.