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**Integers: Comparing and Ordering**

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Today’s Objective I will learn how to compare and order rational numbers.

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**Evaluation Questions What are rational numbers?**

How do we compare and order rational numbers?

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Rational Numbers

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**Whole Numbers Positive numbers that are not fractions or decimals.**

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**Integers The set of whole numbers and their opposites.**

Notes! The set of whole numbers and their opposites.

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Positive Integers Notes! Integers greater than zero.

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Negative Integers Notes! Integers less than zero.

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Comparing Integers Notes! The further a number is to the right on the number line, the greater it’s value. Ex: -3 ___ -1 < . . -1 is on the right of -3, so it is the greatest.

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Comparing Integers The farther a number is to the right on the number line, the greater it’s value. Ex: 2 ___ -5 > . . 2 is on the right of -5, so it is the greatest.

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Comparing Integers The farther a number is to the right on the number line, the greater it’s value. Ex: 0 ___ -2 > . . 0 is on the right of -2, so it is the greatest.

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Ordering Integers Notes! When ordering integers from least to greatest follow the order on the number line from left to right. Ex: 4, -5, 0, 2 . . . . Least to greatest: -5, 0, 2, 4

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Ordering Integers Notes! When ordering integers from greatest to least follow the order on the number line from right to left. Ex: -4, 3, 0, -1 . . . . Greatest to least: 3, 0, -1, -4

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Using Models If you are comparing tenths to hundredths, you can use a tenths grid and a hundredths grid. Here, you can see that 0.4 is greater than 0.36.

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**McDonald’s Menu…. I’m Lovin’ It!!**

Notes! Real life Ordering Decimals! Line up the decimals. Think of all decimals like money!!! It works! Double Cheeseburger: $ .99 Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80 Small Drink: $ .99 McFlurry: $ 1.97 Salad: $ 4.80 2 Cheeseburger Meal: $ 3.70 Ice Cream Cone: $ .87

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**Order Up! Least Expensive to Most Expensive**

Ice Cream Cone Double Cheeseburger: Small Soft Drink: McFlurry: 2 Cheeseburger Meal: Chicken McNuggetts Meal: Big Mac Value Meal: Chicken Salad:

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**Comparing Fractions Strategy**

Notes! Make sure the denominators are the same. Compare the numerators. If the denominators are not the same, then rewrite the fractions using a common denominator. The new fractions should be equivalent to the original fractions.

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**Writing Equivalent Fractions**

One way to find a common denominator is to multiply the two original denominators. 5 3 > 4 6 6 x 4 = 24 20 > 18 x 4 24 x 6 20 18 24

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**Another way to compare fractions is to find the LCM of both denominators.**

Use the LCM as the new denominator in the equivalent fractions. 7 5 < 9, 18, 27, 36, 45 9 12 12, 24, 36, 48, 60 20 < 21 x 3 x 4 20 21 36 36

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**Ordering Fractions Find the LCM of the denominators.**

Notes! Find the LCM of the denominators. Use the LCM to write equivalent fractions. Put the fractions in order using the numerators.

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**Example - Order from Least to Greatest:**

3 2 1 8 5 4 x 8 x 5 x 10 15 16 10 40 40 40 8, 16, 24, 32, 40, 48 1/4 , 3/8 , 2/5 5, 10, 15, 20, 25, 30, 35, 40 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

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HOMEWORK TIME!!!!

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