Rational Numbers and Decimals. Warm Up Rational Numbers and Decimals.
Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers....
-
Upload
shanna-wilcox -
Category
Documents
-
view
213 -
download
0
Transcript of Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers....
![Page 1: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/1.jpg)
Rational NumbersRational numbers are numbers that can be written as the quotient of two integers. In the form a/b , where a is any integer and b is any integer except 0.
• All fractions and mixed numbers
• All terminating and repeating decimals
• All integers
• All rational numbers can be written in many equivalent forms.
![Page 2: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/2.jpg)
Rational Numbers- x - = + - / - = +
+ x + = + + / + = +
+ x - = - + / - = -
-x + = - - / + = -
-2 is equivalent to: 2/-1, -4/2, -2/1, - -2/-1
3 is equivalent to: 3/1, -3/-1, -6/-2
![Page 3: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/3.jpg)
Rational NumbersWhich is larger? -2/3 or -4/5
• Find the LCM (lowest common denominator).
• What ever you do to the bottom, you must do to the top.
• Compare the numerators.
What are the following as the quotient of two integers in lowest terms.
a) 1 ½ b) –0.8 c) 3 d) –2.51
3/2 -4/5 3/1 -251/100
![Page 4: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/4.jpg)
Rational NumbersAlmost all numbers are rational.
½, 7, 0, 2 ½, 0.875, 2.333, -3/10
They have equivalent forms.
0.5 7/1 0/2, 5/2, 7/8, 7/3, -0.3
Numerator 2
Denominator 4
Mixed Number 2 ½ Improper Fraction 5/2
To turn a mixed number into an improper fraction, you keep the denominator. Then you multiply the denominator by the whole number and add the numerator.
![Page 5: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/5.jpg)
Irrational NumbersAre numbers that can not be written as a quotient. These numbers are non-repeating & non-terminating decimals.
There are very few of these.
• 2 = 1.4142135
• 3 = 1.7320508
• = 3.141592653
• 7/0
![Page 6: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/6.jpg)
Rational & Irrational Numbers• Quotient – a number resulting from a division. ½ = 0.5
• Integers – numbers in the sequence ….,-3,-2,-1,0,1,2,3
• Denominator – the number of equal parts in a whole or a group. In ½ the denominator is the 2.
• Numerator – the number of equal parts being considered in a whole or a group. In ½ the numerator is the 1.
• Non-repeating Decimal – a decimal in which a digit or digits do not repeat.
• Non-terminating Decimal – a decimal that continues without end, such as 0.333333333….
• Mixed number – a number that is the sum of a whole number and a fraction. 2 ½.
• Improper Fraction – a fraction whose numerator is greater than its denominator.
• (LCD) Lowest Common Denominator – The lowest multiple shared by two or more denominators. The LCD of 1/8 and 1/6 is 24.
![Page 7: Rational Numbers Rational numbers are numbers that can be written as the quotient of two integers. In the form a/b, where a is any integer and b is any.](https://reader036.fdocuments.in/reader036/viewer/2022082819/56649f315503460f94c4cd09/html5/thumbnails/7.jpg)
Rational & Irrational Numbers
• _____________________ – a number resulting from a division. ½ = 0.5
• ____________________ – numbers in the sequence ….,-3,-2,-1,0,1,2,3
• _______________– the number of equal parts in a whole or a group. In ½ the denominator is the 2.
• ______________ – the number of equal parts being considered in a whole or a group. In ½ the numerator is the 1.
• _______________ – a decimal in which a digit or digits do not repeat.
• _______________ – a decimal that continues without end, such as 0.333333333….
• _______________ – a number that is the sum of a whole number and a fraction. 2 ½.
• _______________ – a fraction whose numerator is greater than its denominator.
• _______________ – The lowest multiple shared by two or more denominators. The LCD of 1/8 and 1/6 is 24.
Non-terminating Decimal, Denominator, Mixed number, Quotient, Integers, (LCD) Lowest Common Denominator, Non-repeating Decimal , Improper Fraction , Numerator
Name:______________________