Lesson 2.1 Rational Numbers Students will be able to understand that a rational number is an integer divided by an integer. Students will be able to convert rational numbers to decimals. CCSS.7.NS.2b; CCSS. 7.NS.2d

REAL NUMBERS RATIONAL NUMBERS IRRATIONAL NUMBERS

Rational Numbers can be written as a ratio (fraction) of two integers. (proper fractions, improper fractions, or mixed numbers) Can written in decimal form: terminating decimal or repeating decimal. Can be written as an integer Can be written as a percent square roots of perfect squares (doubles)

Natural Numbers Only positive numbers that does not include zero Example : 1, 2, 3, 4...

Whole Numbers Numbers that start with zero and go all the way to positive whole numbers. Example: 0, 1, 2, 3, …

Integers Whole numbers that are negative, positive, and zero. Integers can also be written as a fraction. Example: 3= 3 1 (putting a 1 in the denominator does not change the original value)

Fractions Proper Fraction: 2 3 Improper Fraction: 15 2 Mixed Number: −2 1 3 IMPORTANT: Your denominator cannot be a zero or else it is NOT a rational number. Example: 4 0 𝑖𝑠 𝑁𝑂𝑇 𝑎 𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟.

Terminating Decimals A terminating decimal is a decimal that ends. Examples: 1.3, -13. 24, 0.134

Repeating Decimal A repeating decimal is a decimal that repeats. Example: -1.3333… = −1. 3 Example: 0.51515… = 0. 51 Example: -12.135135… = −12. 135

Math Word Sort

DAY 2

Examples of Rational Numbers 16 3 5 3.56 -8 1.3333… −13 3

Write a Decimal as a Fraction −0.7= −1.12= 0.125= 0.75=

Write a Rational number as a Decimal − 1 12 = −1 1 8 = 2 2 5 = 2 3 =

Ordering Rational Numbers

The table shows the changes from the average water level of a pond over several weeks. Order the numbers from least to greatest.