Ordering and Comparing Rational Numbers

Comparing Rational Numbers - Intro

​Friday, September 17

by Mrs Nebel

Directions

​Advance through the quizizz lesson. Read the slides and answer the questions along the way. Do your best!

Learning Target:

​By the end of this lesson, I will be able to compare and order rational numbers.

How will we compare?

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• You will be given many different types of numbers and asked to compare them. The BEST way to do this is to convert them all into the same form.

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• ​We will type them into Desmos to convert all real numbers into decimal form.

​​**Do you have Desmos open and ready???

​Let's quickly review how to compare decimals...

​Steps:

​1) Line up your numbers so that the decimals are in the same place

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​2) Starting from the LEFT, compare each digit. If they are equal, move to the next number

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​Example -->

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Now let's try a couple!

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Multiple Choice

0.74  ___  0.354 Which symbol correctly compares the two numbers?

• <

• >

• =

Multiple Choice

Which is the greatest--0.19, 1.00, 0.91, or 0.02?

• 0.02

• 0.19

• 0.91

• 1.00

Multiple Choice

Order the following decimals from least to greatest 0.54  0.5   0.85   0.8 

• 0.5  0.54  0.8  0.85

• 0.54  0.5  0.8  0.85

• 0.85  0.8  0.5  0.54

• 0.8  0.5  0.85  0.54

If we are given a fraction, we will just convert them into decimals!

​HOW TO:

Divide numerator by the denominator

​Example 1-->

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​Example 2 -->

Multiple Choice

True or False. When turning a fraction into a decimal we divide the denominator by the numerator. $$d\div n$$  

• True

• False

​Remember: it is always numerator divided by denominator!!

Multiple Choice

Express 2/5 as a decimal. (Use Desmos)

• 0.2

• 0.4

• 0.5

• 0.7

Multiple Choice

What is $$\frac{5}{8}$$  as a decimal? (Use Desmos)

• 0.58

• 0.625

• 0.875

• 0.375

What if it is an improper fraction??

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​Steps:

1) Type in your whole number

​​2) Hit the addition (+) sign

​3) Type in the fractions

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​Example -->

Multiple Choice

Make this a decimal

4 3/5

• 4.8

• 4.6

• 4.35

• 43.5

Multiple Choice

What is 2 ⁴/₅ as a decimal?

• 2.45

• 0.8

• 2.8

• 0.45

• 2.25

PERCENTS: Change to a decimal

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Either move the decimal 2 places to the left

​OR

​Divide the number by 100

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​(DON'T use the percent key in Desmos!!)

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Example 1: 7.9% as a decimal -->

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​Example 2: 145% as a decimal -->

Multiple Choice

to turn a percent to a decimal you have to...

• subtract 100

• multiply by 100

• divide by 100

• add 100

Multiple Choice

Change 32% to a decimal.

• 32

• .32

• 3.2

• .032

Multiple Choice

Change 198.7% to a decimal

• 19.87

• 1.987

• .1987

• 1987

Multiple Choice

Write 5% as a decimal.

• 5

• 0.5

• 0.05

• 0.005

​You could also see square roots, absolute value, and scientific notation.

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​Remember: just put them into Desmos! You can compare them when they are all decimals.

​We are going to practice putting all those different types of numbers in order...

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​Some reminders / hints:

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​**If it is NOT already a decimal, PUT IT INTO DESMOS!! Don't just guess... compare your decimal answers!

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​*Ascending = least to greatest (getting bigger)

​*Descending = greatest to least (getting smaller)

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement. (Hint: Put the fraction into Desmos!)

• <

• >

• =

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement. (Hint: put both numbers into Desmos!)

• <

• >

• =

Multiple Choice

Which comparison symbol should be placed between the two numbers? (Hint: put both numbers into Desmos!)

• <

• > 

• =

Multiple Choice

Which number has the least value? (Hint: Put the fractions into Desmos!)

• 0.4

• 1/3

• 5/6

Multiple Choice

Which number has a greater value? (Hint: put both numbers into Desmos!)

• √2

• ⁵/₄

Multiple Choice

Put in the symbol to make the statement true... -17.5   _________ -√121

(Hint: put the second number into Desmos!_

• >

• <

• =

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement. (Hint: put both numbers into Desmos!)

• <

• >

• =

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement. (Hint: put the percentage into Desmos!)

• <

• >

• =

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​You did it!!

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Now put your screenshot into the classwork slides and keep going :)

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