PA-U1.1 Lesson: Converting Decimals to Fractions

Unit 1: Rational & Irrational Numbers


Lesson 1: Converting between Rational Numbers

Warm-Up: Learning Log

​Summarize your experience with the IXL Diagnostic.

In 2 to 3 sentences describe whether you thought the IXL diagnostic was a good representation of your math skills.

Numbers that can not be written as a fraction.
For example: π, √2

​Irrational Numbers

Any number that can be written as a fraction. (Denominator can not be 0)
For example: 1/2, -3, 4.6

Rational Numbers

Rational & Irrational Numbers

Rational & Irrational Numbers

​Rational Numbers

Rational numbers include whole numbers, integers, fractions, and decimals that terminate, and decimals that repeat.

Categorize

Options (8)

7

126

-15

-2

1/2

3/8

7.1

$$2.\overline{9}$$  

Organize these numbers into the rational number category that they best represent.

Whole Number

Integer

Fraction

Decimal

Rational & Irrational Numbers

​Irrational Numbers

Irrational numbers have a decimal portion that does not repeat or terminate, like Pi, Euler's Number, and all imperfect roots.

Categorize

Options (6)

2/3

7

1.5

-13

$$\sqrt[]{10}$$  

$$\pi$$  

Organize these numbers as either rational or irrational.

Rational

Irrational

Rational & Irrational Numbers

​Procedure: Converting Decimals to Fractions

1) Read the decimal using the correct place value vocabulary.
2) Create a fraction using the correct place value vocab. word as the denominator.
3) Simplify the fraction.

Rational & Irrational Numbers

​Ex.1 Converting Decimals to Fractions

Convert 0.825 to a fraction.

Rational & Irrational Numbers

​Ex.2 Converting Decimals to Fractions

Convert 1.48 to a fraction.

Rational & Irrational Numbers

​Ex.3 Converting Decimals to Fractions