Types of numbers, fractions, decimals and percentages

What is an integer?

Any positive or negative number, including zero

What are rational numbers?

Integers, decimals and fractions

What are irrational numbers?

Cannot be written as decimals or fractions

What do these examples have in common?

pi (π), √5, 1+√2

All irrational numbers

How do you write out 4,546.09?

Four thousand five hundred forty six and nine hundredths

How do you write out 13.113?

Thirteen and one hundred thirteen thousandths

What is the order of operations when solving long equations?

PEMDAS (parentheses, exponents, multiply, divide, add, subtract)

Solve the equation:

5+20 / 4 (2+3)² - 6

124

When adding or subtracting fractions, what do the fractions must have?

A common denominator

Solve this equation:

½ + ¼

¾

Solve this equation:

1/3 × 2/3

2/9

How do you solve a multiplying fraction problem?

Multiply both numerators together and denominators together

How do you solve a dividing fraction problem?

Flip the second fraction and flip the dividing sign to multiplication

Solve this equation:

2/3 ÷ ¾

8/9

Solve this equation:

4 3/8 × 3.5

245/16

Turn into percentages:

0.24

5.34

0.007

24%

534%

0.7%

Turn this decimal into a fraction:

0.24

24/100

7 students choose pizza, 9 choose hamburgers, and 4 choose tacos. What percentage of students choose tacos?

20%

1. 7+9+4=20

2. 4/20 = 20/100= 20%

What is 30% of 120?

36

• of means to multiply

What is 150% of 20?

30

What is 14.5% of 96?

13.92

Solve this equation:

½ + (3 ( ¾ - 2) + 4

19/4

0.22+0.5 - (5.5+3.3 ÷ 3)

-5.88

3/2 + (4(0.5)-0.75) + 2

4.75

Convert the following to a faction and to a decimal.

a. 15%

b. 24.36%

a. 15/100 and 0.15

b. 2436 and 8/10

Convert the following to a decimal and to a percentage.

a. 4/5

b. 3 2/5

a. 0.8 and 80%

b. 3.4 and 340%