Math LabNumber Theory

Chapter 4

Question 1

Roger has 126 pieces of candy. He has 3 friends. Can he divide the candy evenly between his friends?

Question 2

Bert has 40 pencils. He divides him in to 2 piles. Are there any leftover pencils?

What about 3 piles?What about 5 piles?What about 6 piles?What about 10 piles?

Divisibility Rules

2: Ends in 0,2,4,6,8

3: Add digits divisible by 3

5: Ends in 0,5

6: Yes for both 2 and 3

9: Add digits divisible by 9

10: Ends in 0

Question 3

Create a factor tree for 40:

Question 4

Write 30 as 3 prime numbers multiplied together:

30 = _____ x _____ x _____

Question 5

Find the LCM of 15 and 20:

LCM: The smallest number that two numbers have as a common multiple.

6: 6 , 12 , 18 , 24

4: 4 , 8 , 12 , 16 , 20 , 24

Question 6

Find the GCF of 15 and 20.

GCF: The largest number that will divide both numbers in a pair.

15: 1 , 3 , 5 , 15

20: 1 , 2 , 4 , 5 , 10, 20

Question 7

Three miles is 16,000 ft. Re-write this in scientific notation.

______ x 10___

Question 8

Re-write 4.5 x 106 as a normal number:

Question 9

Find the next three numbers in this sequence:

4 , 8 , 12 , 16 , 20 , ___ , ___ , ___

What is the rule?

Question 10

Find the next three numbers in this sequence:

1 , 2 , 4 , 8 , 16, ___ , ___ , ___

What is the rule?