Arithmetic

Question 0

Rational numbers

Answer 0

All numbers that can be expressed as tge ratio of two integers (all integers and fractions)

Question 1

Real Numbers

Answer 1

All numbers on the number line

Question 2

Irrational numbers

Answer 2

All real numbers that are not rational, both positive and negative

Question 3

Integers

Answer 3

All numbers with no fractional or decimal parts, multiples of 1

Question 4

Commutative law

Answer 4

Addition and multiplication are both commutative; it doesn’t matter in what order the operation is performed.

Question 5

Associative law

Answer 5

Addition and multiplication are associative; the terms can be regrouped without changing the result

(a+b)+c = a+(b+c)

Question 7

Distributive law

Answer 7

The distributive law of multiplication/division allows us to distribute a factor among the terms being added or subtracted.

a(b+c) = ab+ac

Question 8

What percent of 60 is 45?

Answer 8

Percent = Part / Whole
45/60 = 3/4 = 75%

Question 9

What is 20% of 80

Answer 9

Part = Percent * Whole

0.20 * 80 = 16

Question 10

1/8

Answer 10

0.125 = 12.5%

Question 11

1/6

Answer 11

0.1667 = 16.67%

Question 12

1/5

Answer 12

0.2 = 20%

Question 13

1/4

Answer 13

0.25 = 25%

Question 14

1/3

Answer 14

0.3333 = 33.33%

Question 15

3/8

Answer 15

0.375 = 37.5%

Question 16

2/5

Answer 16

0.4 = 40%

Question 17

1/2

Answer 17

0.5 = 50%

Question 18

3/5

Answer 18

0.6 = 60%

Question 19

5/8

Answer 19

0.625 = 62.5%

Question 20

2/3

Answer 20

0.6667 = 66.67%

Question 21

3/4

Answer 21

0.75 = 75%

Question 22

4/5

Answer 22

0.8 = 80%

Question 23

5/6

Answer 23

0.8333 = 83.33%

Question 24

7/8

Answer 24

0.875 = 87.5%

Question 25

sqrt(a^2)

Answer 25

sqrt(a^2) = | a |, | for all values of a

Question 26

How to work with absolute values | x + 3 | = 4x

Answer 26

Tree of possible outcomes x + 3 = 4x x + 3 = -4x

Question 27

5^18 + 100(5^16) vs 5^19

Answer 27

Divide both sides with the largest common factor, 5^16, to see that the quantities are equal

Question 28

a^2 - sqrt(a) vs 0, a > 0, a != 1

Answer 28

Classic trap! When picking numbers, remember to try fractions between 0 and 1, to find that the relationship cannot be determined.

Question 29

sqrt(a)/sqrt(b)

Answer 29

sqrt(a/b)

Question 30

Triangle inequality

Answer 30

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

Question 31

| a | * | b |

Answer 31

| a * b |

Question 32

Are all prime numbers odd?

Answer 32

All except 2!

Question 33

The average of a set of n evenly spaced numbers

Answer 33

Is the same as the median for the set.