The document discusses different types of numbers in the number system. It defines real numbers as any number that can be found on the number line, and categorizes real numbers as rational numbers, which can be written as fractions, and irrational numbers, which cannot. Integers are whole numbers that are not fractions or decimals, while whole numbers are positive integers. The document then provides steps for converting decimals to fractions when the decimal terminates or repeats, with examples for each case.

1. Number
System

2. The Number System is made up
of different sets of numbers.
Continue through the
presentation to learn about the
number system

3. Real Numbers
Any number that can be found
on the number line
Examples:
1, 1456, .5768, ½, -76.8

4. Real Numbers
Irrational
Numbers
Rational
Numbers
Any number that
can be written
as a fraction
Examples:
234, .5647383, 2/3
Any number that
can’t be written
as a fraction
Examples:
√2, π

5. Real Numbers
Irrational
Numbers
Rational
Numbers
Integers
Any whole number
(negative or positive)
that is not a fraction
or decimal
Examples:
0, 45, -675

6. Real Numbers
Irrational
Numbers
Rational
Numbers
Integers
Whole
Numbers
Any whole number
that is positive and
not a fraction or
decimal
Examples:
0, 45, 786

7. Converting decimal to fraction
(when the decimal terminates)
1.Determine the place value of the last digit
2.Put the numbers behind the decimal point in
the numerator
3.Use the place value as the denominator
4.Reduce if necessary

8. Converting decimal to fraction
(when the decimal terminates)
Example:
Turn 0.145 into a fraction
1. Thousandths place (1000)
2.
3.
4.

9. Converting decimal to fraction
(when the decimal terminates)
Try these:
1. Turn 0.112 into a fraction
2. Turn 0.0136 into a fraction
3. Turn 0.0067 into a fraction

10. Converting decimal to fraction
(when the decimal terminates)
Answers:
1.
2.
3.

11. Converting decimal to fraction
(when the decimal repeats)
1.Determine how many numbers repeat
2.Put the numbers that repeat as the
numerator
3.Take the number from Step 1 and use that
many 9’s as the denominator
4.Reduce if necessary

12. Converting decimal to fraction
(when the decimal repeats)
Example:
Turn 0.141414141414 into a fraction
1. 2 numbers repeat
2.
3.

13. Converting decimal to fraction
(when the decimal repeats)
Try these:
1. Turn 0.12 into a fraction
2. Turn 0.135 into a fraction
3. Turn 0.89 into a fraction

14. Converting decimal to fraction
(when the decimal repeats)
Answers:
1.
2.
3.

15. Next Steps:
1. Complete the quiz on Schoology
2. Work on the Classwork Worksheet
3. No homework