Number properties

Question 1

A number is divisible by 2 if…

Answer 1

it is even

Question 2

A number is divisible by 3 if…

Answer 2

the sum of the integer’s digits is divisible by 3

Question 3

A number is divisible by 4 if…

Answer 3

the last two digits are divisible by 4

Question 4

A number is divisible by 5 if…

Answer 4

the integer ends in 0 or 5

Question 5

A number is divisible by 6 if…

Answer 5

the integer is divisible by 2 and 3.

Question 6

A number is divisible by 8 if…

Answer 6

the last three digits are divisible by 8

Question 7

A number is divisible by 9 if…

Answer 7

the sum of the integer’s digits are divisible by 9

Question 8

A number is divisible by 10 if…

Answer 8

the integer ends in 0

Question 9

Factor Foundation Rule

Answer 9

If a is divisible by b and b is divisible by c, then a is divisible by c.

Question 10

When dividing numbers, you can do what with the remainders?

Answer 10

You can add, subtract and multiple remainders, as long as you correct excess or negative remainders.

Question 11

Odd +- Odd

Answer 11

Even

Question 12

Odd +- Even

Answer 12

Odd

Question 13

Even +- Even

Answer 13

Even

Question 14

Odd x Odd

Answer 14

Odd

Question 15

Odd x Even

Answer 15

Even

Question 16

Even x Even

Answer 16

Even (and divisible by 4)

Question 17

Even % Even

Answer 17

Can be even, odd, or non-integrer

Question 18

Odd % Odd

Answer 18

Odd or non-integer

Question 19

Even % Odd

Answer 19

Even or non-integer

Question 20

Odd % even

Answer 20

Non-integer

Question 21

If ab>0, then a and b are what?

Answer 21

either both positive or both negative

Question 22

What does a negative exponent mean?

Answer 22

flip the number and then take the exponent (reciprocal)

5^-2 = (1/(5^2))

Question 23

Any non-zero raised to the zero power equals what?

Answer 23

1

Question 24

When multiplying exponential terms that share a common base, what do you do?

Answer 24

Add exponents
(5^2 * 5^4 = 5^6)

Question 25

When dividing exponential terms that share a common base, what do you do?

Answer 25

Subtract exponents
(5^6 % 5^2 = 5^4)

Question 26

When something with an exponent is raised to another power, what do you do?

Answer 26

Multiply the two exponents together

(a^2)^4 = a^8

Question 27

11^2

Answer 27

121

Question 28

13^2

Answer 28

169

Question 29

14^2

Answer 29

196

Question 30

15^2

Answer 30

225

Question 31

2^3

Answer 31

8

Question 32

3^3

Answer 32

27

Question 33

4^3

Answer 33

64

Question 34

5^3

Answer 34

125

Question 35

x^a * x^b

Answer 35

x^ab

Question 36

a^x * b ^x

Answer 36

ab^x

Question 37

(x^a)/(x^b)

Answer 37

x^(a-b)

Question 38

(a/b)^x

Answer 38

(a^x)/(b^x)

Question 39

(a^x)^y

Answer 39

a^(xy) = (a^y)^x

Question 40

x^-a

Answer 40

1/x^a

Question 41

a^x + a^x + a^x

Answer 41

3a^x

Question 42

When you multiply or divide two roots together what can you do?

Answer 42

You can multiply or divide within the sqrt

Question 43

When you have one large sqrt, what can you do?

Answer 43

split the sqrt into smaller sqrts

ex. sqrt(12) = sqrt (4) * sqrt (3) = 2sqrt (3)

Question 44

When finding how many integers in a sequence, remember to what?

Answer 44

Add one to include both ends (inclusive)