Arithmetic

Question 1

Integers

Answer 1

All positive and negative whole numbers and zero

…-3, -2, -1, 0, 1, 2, 3…

Question 2

Is 0 positive or negative?

Answer 2

Neither

Question 3

What are factors?

Answer 3

All of the numbers that can multiply to form a given number

Both the positive and negative forms

Question 4

1 and 0 as factors

Answer 4

1 is a factor of every integer

0 is ONLY a factor of 0

Question 5

1 and 0 as multiples

Answer 5

0 is a multiple of every integer

1 is ONLY a multiple of 1 and -1

Question 6

Remainders

Dividing a smaller number by a larger number

Answer 6

6 ÷ 24 = 0 r 24

Question 7

Remainders

When you divide an odd number in half/by 2…

Answer 7

the remainder is ALWAYS 1

Question 8

even + even =

Question 9

even + odd =

Answer 9

odd

Question 10

odd + odd =

Answer 10

even

Question 11

even x even=

Answer 11

even

Question 12

odd x odd=

Answer 12

odd

Question 13

odd x even=

Answer 13

even

Question 14

Characteristics of a prime number

Answer 14

greater than 1

only 2 positive divisors: 1 and itself

Question 15

First 10 primes

Answer 15

2 3

5 7

11 13

17 19

23 29

Question 16

Composite number

Answer 16

larger than 1

not prime

Question 17

First 10 composite numbers

Answer 17

4 6

8 9

10 12

14 15

16 18

Question 18

0 as a denominator

Answer 18

Impossible

Question 19

Adding fractions

Answer 19

need common denominator

Question 20

Dividing fractions

Answer 20

invert 2nd fraction and then multiply

Question 21

Negative raised to an even power=

Answer 21

positive number

Question 22

Negative raised to an odd power=

Answer 22

negative

Question 23

a⁰=

Answer 23

1

Question 24

0⁰⁼

Answer 24

undefined

Question 25

a^-1=

a^-2=

Answer 25

1/a

1/a²

Question 26

(a)(a^-1)

Answer 26

(a)(1/a)= 1

Question 27

How many square roots do all positive numbers have

Answer 27

2: one positive and one negative

Question 28

Which number only has 1 square root?

Answer 28

0

Square of 0 = 0

Question 29

Square roots of negative numbers

Answer 29

not defined

Question 30

(√a)²=

Answer 30

a

Question 31

√a²=

Answer 31

a

Question 32

√a√b=

Answer 32

√ab

Question 33

√a =

√b

Answer 33

√a/b

Question 34

explain ⁿ√a

Answer 34

the result is a number that when raised to nth power equals a

Question 35

How many roots are there for every positive/negative number when the root is ODD?

Answer 35

exactly 1 root for every number

³√8= 2 ³√-8= -2

Question 36

How many roots are there for every positive/negative number when the root is EVEN?

Answer 36

2 for positive and 0 for negatives (undefined)

⁴√8 and - ⁴√8

Question 37

Rational numbers

Answer 37

Rational

terminate or repeat decimals

Question 38

Irrational numbers

Answer 38

Neither terminate nor repear

√2

0.01011011101111…

Question 39

Real numbers

Answer 39

all rational and irrational numbers

Question 40

|absolute value|

Answer 40

distance between the number and 0 on a number line

Question 41

triangle inequality

Answer 41

|a + b| = |a| + |b|

ex: 5 and -2

|5 + (-2)| = |5-2| = |3| = 3

|5| + |-2| = 5 + 2 = 7

Question 42

if a>1 then a²

Answer 42

a²>a

Question 43

if 0 < b < 1 then b²

Answer 43

< b

Question 44

Proportion

Answer 44

relates 2 ratios

cross-multiply to solve

Question 45

How to find a percent change

Answer 45

change

base (initial amnt)

Question 46

How to find a cumulative percent change

Answer 46

add or subtract percents from 100 depending on percent increase/decrease

multiply the results together

100-that number is the percent change