Chapter 5 Pre-test

Grab your clicker and a scrap piece of paper!

CHAPTER 5: OPERATIONS WITH

FRACTIONSSection 5-1: Comparing and Ordering

Fractions

Multiples

A multiple of a number is the product of that number and any nonzero whole number.

Example:Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, …Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, …

Common Multiples:The numbers 12, 24, and 36 are common multiples of 4 and 6. The common multiple of 12 is the least common multiple!!!

Multiples

Today both the swim and wrestling teams have meets. The swim team has meets every 5 days. The wrestling team has meets every 6 days. When will both teams have meets on the same day again?

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, …Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40,

45, …

The least common multiple(LCM) is 30!!!

Multiples – Practice!!

Find the LCM of 3 & 4:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …Multiples of 3: 3, 6, 9, 12, 15, 18, …

The least common multiple(LCM) is 12!!!

Multiples – Practice!!

Find the LCM of 4 & 5:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, …

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …

The least common multiple(LCM) is 20!!!

Multiples – You Try!!

Find the LCM of 3, 4, & 5:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, …Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, …Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, …

The least common multiple(LCM) is 60!!!

LCM – Practice!!

Find the LCM of 4a2 & 5a3:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, …

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …

For the Power, we use the larger of the exponents for each variable!

The least common multiple(LCM) is 20a3!!!

LCM – Practice!!

Find the LCM of 3x & 4xy:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, …Multiples of 3: 3, 6, 9, 12, 15, 18, …

For the Power, we use the larger of the exponents for each variable!

The least common multiple(LCM) is 12xy!!!

LCM – You Try!!

Find the LCM of 8a2 & 14a4:

Multiples of 14: 14, 28, 42, 56, …Multiples of 8: 8,16, 24, 32, 40, 48, 56, …

For the Power, we use the larger of the exponents for each variable!

The least common multiple(LCM) is 56a4!!!

LCM – You Try!!

Find the LCM of 15m2n5 & 25mn4:

Multiples of 25: 25, 50, 75, …Multiples of 15: 15, 30, 45, 60, 75, …

For the Power, we use the larger of the exponents for each variable!

The least common multiple(LCM) is 75m2n5!!!

Graphing Fractions – Practice!

Graph and compare:

11

5&

11

9

11

9

11

5

11

5

11

9

Graphing Fractions – Practice!

Graph and compare:

10

1&

2

1

2

1

10

1

2

1

10

1

Graphing Fractions – You Try!

Graph and compare:

9

2&

9

4

9

4

9

2

9

4

9

2

Comparing Fractions - Practice!!

greatest. least to from 5

2,&

4

3,

2

1Order

First find the least common denominator.The LCM of 2, 4, and 5 is:

20

20

8

5

220

15

4

320

10

2

1

4

3

2

1

5

2

Comparing Fractions - Practice!!

greatest. least to from 12

5,&

6

1,

3

2Order

First find the least common denominator.The LCM of 3, 6, and 12 is:

12

12

5

12

512

2

6

112

8

3

2

3

2

12

5

6

1

Comparing Fractions – You Try!!

greatest. least to from 2

1,&

5

1,

10

3Order

First find the least common denominator.The LCM of 10, 5, and 2 is:

10

10

5

2

110

2

5

110

3

10

3

2

1

10

3

5

1

Homework!!!!

Page 227:

1-10, 14-20, 31-44