There are many types of numbers.....
There are many different types of numbers in math and you have to know them if you want to complete any math problem in unit one. They are easy to use once you learn about all of them.
natural numbers
Example: 1, 2, 3, 4, 5........
Natural numbers are what you consider counting numbers.
Natural numbers are what you consider counting numbers.
Whole numbers
Example: 0, 1, 2, 3....
A whole number does not involve negative numbers or decimals. |
Integers
Example: -4, -3, -2, -1, 0, 1, 2, 3, 4......
Integers have negatives and natural numbers.
Integers have negatives and natural numbers.
Rational numbers |
Example: 8/1, 2.3, 4.1111111.....
Rational numbers are ratios, or fractions, and decimals that repeat and end.
Rational numbers are ratios, or fractions, and decimals that repeat and end.
Irrational numbers
Example: pi
Irrational numbers are basically the opposite of rational numbers. They cannot be turned into a fraction or a repeating decimal. An irrational number can also be known as the square root of an imperfect square.
Irrational numbers are basically the opposite of rational numbers. They cannot be turned into a fraction or a repeating decimal. An irrational number can also be known as the square root of an imperfect square.
Real numbers
Example: 3.123456432167..., 7.999999
Real numbers are any irrational or rational number.
Real numbers are any irrational or rational number.
Imaginary numbers
Example: square root of -81
Imaginary numbers are exactly what their name states! Not real numbers! A popular example to always recognize an imaginary number is the square root of a negative number.
Imaginary numbers are exactly what their name states! Not real numbers! A popular example to always recognize an imaginary number is the square root of a negative number.
Now that we have learned every type of number, we have to learn how to use them. Every number can be described by another type of number.
Example: 5.3333... is a rational number BUT ALSO a real number.
Now it's your turn to identify these numbers! The answers will follow.
1) square root of 33
2) 5.6
3) 5.444445
Answers:
1) irrational, real
2) rational, real
3) rational, real
Example: 5.3333... is a rational number BUT ALSO a real number.
Now it's your turn to identify these numbers! The answers will follow.
1) square root of 33
2) 5.6
3) 5.444445
Answers:
1) irrational, real
2) rational, real
3) rational, real
![Picture](/uploads/9/3/8/1/93819528/fractiontodecimal.gif)
Great! Now we can move on to the next topic.
Rational numbers play a big role in unit one. We are going to show you how to add, subtract, divide, and multiply with rational numbers.
First, we have to know how to make rational fractions into decimals and rational decimals into fractions.
How do we do that, you ask? It's easy!
To make fractions into decimals:
Divide numerator into the denominator
Example: 3/6 = 0.5
Rational numbers play a big role in unit one. We are going to show you how to add, subtract, divide, and multiply with rational numbers.
First, we have to know how to make rational fractions into decimals and rational decimals into fractions.
How do we do that, you ask? It's easy!
To make fractions into decimals:
Divide numerator into the denominator
Example: 3/6 = 0.5
![Picture](/uploads/9/3/8/1/93819528/loll.jpg?244)
To make decimals into fractions:
Use place value
Example: 0.4 = 4/10 = 2/5
Use place value
Example: 0.4 = 4/10 = 2/5
Dividing:
Decimals: If the outside number is not a whole number, move decimal point to right and move decimal point on the number inside to the same number of places. If there is not a decimal point in the number on the inside the house, put it at the end and move it the same amount of places as the inside. Bring the decimal point up in the answer. Fractions: Keep Change Flip Let's try some:
Answers:
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SOlving one-step rational equations
When we solve one- step equations, we use inverse operations. Inverse operations means that you do the opposite to the other side.
Example:
Example:
Solve these problems for extra practice:
- x + 5 = 15
- x -13 = 25
- y ÷ 12 = 50
- 10
- 38
- 600
Solving two- step equations
Watch this quick video to find out how to solve two step equations!