Comparing Decimals and Fractions

Comparing & Ordering: Decimals & Fractions

Friday , August 26, 2022

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Brain Dump Ideas about Decimals

Decimals

A decimal is a rational number that represents ___________ of a whole, where the part is base _______. All decimals can be represented on a number line.

What are some examples of decimals?

​Some Examples:

Can Decimals also be negatives?​

What do you noticed between the whole numbers?

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Decimals Between

Whole

Numbers

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Plot the points on the number Line

A: 4.2 B: 1.6 C: 1.5 D: 0.4

Multiple Choice

What is the symbol for Greater Than?

• <

• =

• >

Multiple Choice

What is the symbol for Less Than?

• <

• =

• >

Multiple Choice

Use the symbols <, >, or = to make each statement true.

-5.05 -5

• <

• =

• >

Multiple Choice

Use the symbols <, >, or = to make each statement true.

4.16 4.06

• >

• =

• <

Multiple Choice

Use the symbols <, >, or = to make each statement true.

-58 -58.0

• >

• =

• <

Multiple Choice

Use the symbols <, >, or = to make each statement true.

4.12 4.1

• >

• =

• <

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Brain Dump Ideas about Fractions

Writing Fractions as Divisions

A fraction bar is one way to represent ___________. This can be used to convert a fraction to a decimal by dividing the ___________ by the ___________.

What are some examples of fractions as divisions?

3 Ways to Represent Division

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Use your understanding of division to complete the table with various representations:

​Converting Fractions to Decimals

Poll

Convert the following fractions to decimals by dividing

$$\frac{1}{2}$$  

• 0.5

• 0.2

• 0.55

• 2

Poll

Convert the following fractions to decimals by dividing

$$\frac{4}{10}$$  

• 25

• 0.4

• 40

• 2.5

Poll

Convert the following fractions to decimals by dividing

$$\frac{7}{5}$$  

• 14

• 0.71

• 1.4

• 1.42

Find the Common Multiples of each denominators.

​Multiples of 6: 6 ,12, 18,24, 30, 36,

Multiples of 5: 5, 10,15, 20, 25, 30, 35...

Multiples of 2:​ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24,26, 28, 30, 32, 34, 36...

​

Find the Common Multiples of each denominators.

​Multiples of 6: 6 ,12, 18,24, 30, 36,

Multiples of 5: 5, 10,15, 20, 25, 30, 35...

Multiples of 2:​ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24,26, 28, 30, 32, 34, 36...

​

Find the Common Multiples of each denominators.

​Multiples of 6: 6 ,12, 18,24, 30, 36,

Multiples of 5: 5, 10,15, 20, 25, 30, 35...

Multiples of 2:​ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24,26, 28, 30, 32, 34, 36...

​

What you do to the denominator, you must do to the numerator.

​6x5=30 7X5=____

5X6=30 2X6=____

2X15=30 1X15=____

​

What you do to the denominator, you must do to the numerator.

​6x5=30 7X5=35

5X6=30 2X6=12

2X15=30 1X15=15

​

Step 3: Order the fractions

Step 4: Put them back to the original fractions​

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