(PRIORITY)Rational and Irrational regmath.pdf

(PRIORITY)Rational and Irrational regmath.pdf

1. CCBSantos | MJFQuibuyen
RATIONAL
IRRATIONAL
and
NUMBERS

2. express rational numbers from
fraction form to decimal and
vice versa
arrange rational and irrational
numbers on a number line
By the end of the lesson,
you'll be able to:
LEARNING
OUTCOMES
perform operations on rational
and irrational numbers

3. express rational numbers
from fraction form to decimal
and vice versa
arrange rational and irrational
numbers on a number line
By the end of the lesson,
you'll be able to:
LEARNING
OUTCOMES
perform operations on rational
and irrational numbers

4. RATIONAL
NUMBERS

5. DECIMAL FRACTIONS
Examples
A decimal fraction is a fraction whose
denominator is a part of a power of 10.

6. DECIMAL FRACTIONS
To convert those with denominators that are parts of 10,
rewrite the fraction in terms of the denominator 10.
They are easily convertible into decimal forms

7. DECIMAL FRACTIONS
To convert those with denominators that are parts of
100, rewrite the fraction in terms of the denominator
100:
They are easily convertible into decimal forms

8. DECIMAL FRACTIONS
To convert those with denominators that are parts of
1000, rewrite the fraction in terms of the denominator
1000:
They are easily convertible into decimal forms

9. NON-DECIMAL FRACTIONS
A non-decimal fraction is a fraction whose
denominator is NOT part of power of 10.

10. NON-DECIMAL FRACTIONS
BUT it can be converted into decimal by
getting the quotient of the numerator divided
by the denominator of the fraction in proper
or improper form,

11. TERMINATING DECIMALS
A terminating decimal is a decimal that can be
expressed in a finite number of figures.
EXAMPLE:
0.1, -0.27, 3.458, -15.1795

12. TERMINATING DECIMALS
They are easily converted to fraction forms
EXAMPLE:

13. NON- TERMINATING DECIMALS
A non-terminating decimal is a decimal
that cannot be expressed in finite number
of figures.
Either it is repeating OR non-repeating.

14. NON- TERMINATING DECIMALS
Non-terminating, non-repeating decimals
are NOT rational numbers. They cannot be
converted into fraction forms.
Example:
π
12.3451687468 ...

15. NON- TERMINATING DECIMALSNon-terminating BUT repeating decimals
are rational numbers.
They can be converted into fraction forms
using certain techniques.

16. CASE 1: Only one digit repeats and the
digit starts repeating from the tenths
place. Example: NON- TERMINATING DECIMALSHOW?

17. CASE 1: Only one digit repeats and the
digit starts repeating from the tenths
place. NON- TERMINATING DECIMALS
NOW TRY THIS:
0.777777 ....

18. CASE 2: Only one digit repeats and the
digit starts repeating from the
hundredths place. Example: NON- TERMINATING DECIMALSHOW?

19. CASE 2: Only one digit repeats and the
digit starts repeating from the
hundredths place. Example: NON- TERMINATING DECIMALS
NOW TRY THIS:
0.63333 ...

20. CASE 3: Two digits repeat and the digits
start repeating from the tenths and
hundreths place, respectively.
Example: 4.545454 ... NON- TERMINATING DECIMALSHOW?

21. CASE 3: Two digits repeat and the digits
start repeating from the tenths and
hundreths place, respectively. NON- TERMINATING DECIMALS
NOW TRY THIS:
2.818181 ...

22. express rational numbers from
fraction form to decimal and
vice versa
arrange rational and
irrational numbers on a
number line
By the end of the lesson,
you'll be able to:
LEARNING
OUTCOMES
perform operations on
rational and irrational
numbers

23. LOCATE THIS NUMBER ON THE NUMBER LINE:
LOCATING NUMBERS
1.5
ON A NUMBER LINE

24. LOCATE THIS NUMBER ON THE NUMBER LINE:
LOCATING NUMBERS
-1.25
ON A NUMBER LINE

25. ARRANGE THE FOLLOWING
ON A NUMBER LINE:
LOCATING NUMBERS
ON A NUMBER LINE

26. ARRANGE THE FOLLOWING
ON A NUMBER LINE:
LOCATING NUMBERS
ON A NUMBER LINE

27. ARRANGE THE FOLLOWING
ON A NUMBER LINE:
LOCATING NUMBERS
ON A NUMBER LINE

28. PRINCIPAL NTH ROOT
The nth root (where n is a positive integer) of a number x is
a number y such that
Example:
3 is the square root of 9
3 is the cube root of 27
2 is the fourth root of 16

29. Example:
rational
PRINCIPAL NTH ROOT
The principal nth root can either be
RATIONAL or IRRATIONAL NUMBER.

30. Example:
irrational
PRINCIPAL NTH ROOT
The principal nth root can either be
RATIONAL or IRRATIONAL NUMBER.

31. How do we locate?
PLOTTING PRINCIPAL
SQUARE ROOTS
Approximate!

32. How do we locate?
PLOTTING PRINCIPAL
SQUARE ROOTS

33. PRACTICE!!!
PLOTTING PRINCIPAL
SQUARE ROOTS
LOCATE:

34. express rational numbers from
fraction form to decimal and
vice versa
arrange rational and irrational
numbers on a number line
By the end of the lesson,
you'll be able to:
LEARNING
OUTCOMES
perform operations on rational
and irrational numbers

35. CCBSantos | MJFQuibuyen
RATIONAL
IRRATIONAL
and
NUMBERS