Identify, describe, and extend your pattern.
13.) 4, 20, 100, 500: the pattern 14.) 44,22,20,10,8: the pattern
find the value of each expression.
19.) 7+3*6= -4) x 9 =

13. For this pattern, we start with 4, and then the next number in the sequence is 20. How do 4 and 20 relate to each other?
Well, 4 * 5 = 20, so let's see if that's what the pattern is...

20 * 5 = 100

What's the next number in the sequence? 100, so it looks like that is what the sequence is.

100 * 5 = 500

Yep :D
The pattern for 13 is multiply by 5.

14. For this one, we start with 44, then go to 22. We know that 44 divided by 2 is 22. But 22 divided by 2 is 11, not 20, so what would the next step be? Well, 22 minus 2 is 20, so let's see what we have to work with after this. 20 divided by 2 is 10, which is the next number in the sequence, and 10 minus 2 is 8.

The pattern for problem 14 is divide by 2, then subtract 2, and repeat.

19. The expression is 7 + 3 * 6 = ?

According to the Order of Operations (PEMDAS), we need to do any multiplication in the problem before addition.

3 * 6 = 18

7 + 18 = 25

7 + 3 * 6 = 25

20. The expression is (6 - 4) * 9

Again, referring to PEMDAS, we can see that items in parentheses come first.

6 - 4 = 2

So now the problem is 2 * 9 = ?

2 * 9 = 18

So,

(6 - 4) * 9 = 18

Hope that helped =)