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A decimal is any number in our base-ten number system. Specifically, we will use numbers with one or more digits to the right of the decimal point in this unit of lessons. The decimal point separates one place from the tenth place in decimals.

1.

2.
TEKS Math 5.2 B

Number and operations. The student applies

mathematical process standards to represent,

compare, and order positive rational numbers and

understand relationships as related to place value. The

student is expected to compare and order two decimals

to thousandths and represent comparisons using the

symbols >, <, or =.

<1 min

Number and operations. The student applies

mathematical process standards to represent,

compare, and order positive rational numbers and

understand relationships as related to place value. The

student is expected to compare and order two decimals

to thousandths and represent comparisons using the

symbols >, <, or =.

<1 min

3.
Focus

This Photo by Unknown Author is licensed under CC BY-NC-ND

This Photo by Unknown Author is licensed under CC BY-NC-ND

4.
Career Exploration

• Veterinarians

• Veterinarians care for the health of animals and

work to protect public health.

• Most veterinarians work in private clinics and

hospitals. Others travel to farms or work in

settings such as laboratories, classrooms, or

zoos.

• Veterinarians

• Veterinarians care for the health of animals and

work to protect public health.

• Most veterinarians work in private clinics and

hospitals. Others travel to farms or work in

settings such as laboratories, classrooms, or

zoos.

5.
Compare and Order

• Important words to know

• digit

• value

• place value

• period

• Important words to know

• digit

• value

• place value

• period

6.
Compare and Order

• Comparing Decimals

• Greater Than >

• Less Than <

• Equal To =

• Comparing Decimals

• Greater Than >

• Less Than <

• Equal To =

7.
Compare and Order

• To compare two numbers, compare the

digits in each place from left to right.

• To compare two numbers, compare the

digits in each place from left to right.

8.
Compare and Order

• Line up the decimals

• Start at the left and compare digits of the same

place value

• 0.40 compared to 0.04

• In the tenths place, the 4 is larger than the 0

• so, 0.40 > 0.04

• Line up the decimals

• Start at the left and compare digits of the same

place value

• 0.40 compared to 0.04

• In the tenths place, the 4 is larger than the 0

• so, 0.40 > 0.04

9.
Compare and Order

More Comparing

• When the first place has the same digit, move to the

next place

• Compare More than Two Numbers

• Use a place value chart

• Line up the decimals

More Comparing

• When the first place has the same digit, move to the

next place

• Compare More than Two Numbers

• Use a place value chart

• Line up the decimals

10.
Let’s Practice!

This Photo by Unknown Author is licensed under CC BY-NC

This Photo by Unknown Author is licensed under CC BY-NC

11.
I do #1

Tammy, Kelley, and Jim are vet techs. On Wednesday,

Tammy worked 7.75 hours. Kelley worked 7.69 hours.

Jim worked 7.075 hours. Who worked the most on

A. Tammy

B. Kelley

C. Jim

D. Both A and C

Tammy, Kelley, and Jim are vet techs. On Wednesday,

Tammy worked 7.75 hours. Kelley worked 7.69 hours.

Jim worked 7.075 hours. Who worked the most on

A. Tammy

B. Kelley

C. Jim

D. Both A and C

12.
I do #1 Answer

Tammy, Kelley, and Jim are vet techs. On Wednesday, Tammy

worked 7.75 hours. Kelley worked 7.69 hours. Jim worked

7.075 hours. Who worked the most on Wednesday?

A. Tammy

B. Kelley 7.75

C. Jim 7.69

D. Both A and C 7.075

Since they all have the same number in the ones place, we

move to the tenths place. There we see that the BIGGEST

number is the 7. Therefore, Tammy is the answer, since she

worked 7.75 hours.

Tammy, Kelley, and Jim are vet techs. On Wednesday, Tammy

worked 7.75 hours. Kelley worked 7.69 hours. Jim worked

7.075 hours. Who worked the most on Wednesday?

A. Tammy

B. Kelley 7.75

C. Jim 7.69

D. Both A and C 7.075

Since they all have the same number in the ones place, we

move to the tenths place. There we see that the BIGGEST

number is the 7. Therefore, Tammy is the answer, since she

worked 7.75 hours.

13.
I do #2

A veterinarian measured medication for puppies.

Order the decimals from least to greatest.

0.38, 0.4, 0.36

A. 0.38, 0.4, 0.36

B. 0.4, 0.36, 0.38

C. 0.36, 0.4, 0.48

D. 0.36, 0.38, 0.4

A veterinarian measured medication for puppies.

Order the decimals from least to greatest.

0.38, 0.4, 0.36

A. 0.38, 0.4, 0.36

B. 0.4, 0.36, 0.38

C. 0.36, 0.4, 0.48

D. 0.36, 0.38, 0.4

14.
I do #2 Answer

A veterinarian measured medication for puppies.

Order the decimals from least to greatest.

0.38, 0.4, 0.36

A. 0.38, 0.4, 0.36 0.38

B. 0.4, 0.36, 0.38

C. 0.36, 0.4, 0.48 0.40

D. 0.36, 0.38, 0.4

0.36

Since they are all the same number in the ones column, we move to

the tenths. The 0.40 is the biggest. When we move to the

hundredths, we see that 6 is smaller than the 8. Therefore, the

answer is D.

A veterinarian measured medication for puppies.

Order the decimals from least to greatest.

0.38, 0.4, 0.36

A. 0.38, 0.4, 0.36 0.38

B. 0.4, 0.36, 0.38

C. 0.36, 0.4, 0.48 0.40

D. 0.36, 0.38, 0.4

0.36

Since they are all the same number in the ones column, we move to

the tenths. The 0.40 is the biggest. When we move to the

hundredths, we see that 6 is smaller than the 8. Therefore, the

answer is D.

15.
We do #1

Dr. Jones, a veterinarian did four surgeries on Friday. The lengths of

the surgeries are below.

Order from least to greatest.

1.25 1.52 1.02 1.50

A. 1.25 1.52 1.02 1.50

B. 1.52 1.02 1.50 1.25

C. 1.02 1.50 1.25 1.52

D. 1.02 1.25 1.50 1.52

Dr. Jones, a veterinarian did four surgeries on Friday. The lengths of

the surgeries are below.

Order from least to greatest.

1.25 1.52 1.02 1.50

A. 1.25 1.52 1.02 1.50

B. 1.52 1.02 1.50 1.25

C. 1.02 1.50 1.25 1.52

D. 1.02 1.25 1.50 1.52

16.
We do #1 Answer

Dr. Jones, a veterinarian did four surgeries on Friday. The lengths of

the surgeries are below.

Order from least to greatest.

1.25 1.52 1.02 1.50

A. 1.25 1.52 1.02 1.50

B. 1.52 1.02 1.50 1.25

C. 1.02 1.50 1.25 1.52

D. 1.02 1.25 1.50 1.52

Dr. Jones, a veterinarian did four surgeries on Friday. The lengths of

the surgeries are below.

Order from least to greatest.

1.25 1.52 1.02 1.50

A. 1.25 1.52 1.02 1.50

B. 1.52 1.02 1.50 1.25

C. 1.02 1.50 1.25 1.52

D. 1.02 1.25 1.50 1.52

17.
We do #2

Below are the weights of four dogs measured by a vet tech.

Put these decimals in order from least to greatest:

22.65, 23.8, 22, and 23.25

A. 22.65, 22, 23.8, 23.25

B. 22, 22.65, 23.25, 23.8

C. 23.25, 23.8, 22.65, 22

D. 22.65, 22, 23.25, 23.8

Below are the weights of four dogs measured by a vet tech.

Put these decimals in order from least to greatest:

22.65, 23.8, 22, and 23.25

A. 22.65, 22, 23.8, 23.25

B. 22, 22.65, 23.25, 23.8

C. 23.25, 23.8, 22.65, 22

D. 22.65, 22, 23.25, 23.8

18.
We do Answer #2

Below are the weights of four dogs measured by a vet tech.

Put these decimals in order from least to greatest:

22.65, 23.8, 22, and 23.25

A. 22.65, 22, 23.8, 23.25

B. 22, 22.65, 23.25, 23.8

C. 23.25, 23.8, 22.65, 22

D. 22.65, 22, 23.25, 23.8

Below are the weights of four dogs measured by a vet tech.

Put these decimals in order from least to greatest:

22.65, 23.8, 22, and 23.25

A. 22.65, 22, 23.8, 23.25

B. 22, 22.65, 23.25, 23.8

C. 23.25, 23.8, 22.65, 22

D. 22.65, 22, 23.25, 23.8

19.
We do #3

Put these decimals in order from greatest to least:

2.43; 2.34; 2.05; 2.18

A. 2.05; 2.18; 2.34; 2.43

B. 2.18; 2.05; 2.43; 2.34

C. 2.43; 2.34; 2.18; 2.05

D. 2.34, 2.18, 2.05, 2.43

Put these decimals in order from greatest to least:

2.43; 2.34; 2.05; 2.18

A. 2.05; 2.18; 2.34; 2.43

B. 2.18; 2.05; 2.43; 2.34

C. 2.43; 2.34; 2.18; 2.05

D. 2.34, 2.18, 2.05, 2.43

20.
We do #3 Answer

Put these decimals in order from greatest to least:

2.43; 2.34; 2.05; 2.18

A. 2.05; 2.18; 2.34; 2.43

B. 2.18; 2.05; 2.43; 2.34

C. 2.43; 2.34; 2.18; 2.05

D. 2.34, 2.18, 2.05, 2.43

Put these decimals in order from greatest to least:

2.43; 2.34; 2.05; 2.18

A. 2.05; 2.18; 2.34; 2.43

B. 2.18; 2.05; 2.43; 2.34

C. 2.43; 2.34; 2.18; 2.05

D. 2.34, 2.18, 2.05, 2.43

21.
You do #1

Order these numbers from greatest to least:

0.25, 0.89, 0.56, 0.99

A. 0.99, 0.56, 0.89, 0.25

B. 0.25, 0.56, 0.89, 0.99

C. 0.99, 0.89, 0.56, 0.25

D. 0.89, 0.56, 0.25, 0.99

Order these numbers from greatest to least:

0.25, 0.89, 0.56, 0.99

A. 0.99, 0.56, 0.89, 0.25

B. 0.25, 0.56, 0.89, 0.99

C. 0.99, 0.89, 0.56, 0.25

D. 0.89, 0.56, 0.25, 0.99

22.
You do #1

Order these numbers from greatest to least:

0.25, 0.89, 0.56, 0.99

A. 0.99, 0.56, 0.89, 0.25

B. 0.25, 0.56, 0.89, 0.99

C. 0.99, 0.89, 0.56, 0.25

D. 0.89, 0.56, 0.25, 0.99

Order these numbers from greatest to least:

0.25, 0.89, 0.56, 0.99

A. 0.99, 0.56, 0.89, 0.25

B. 0.25, 0.56, 0.89, 0.99

C. 0.99, 0.89, 0.56, 0.25

D. 0.89, 0.56, 0.25, 0.99

23.
You do #2

Emily bought the following amounts of treats for

animals at the vet clinic.

2.0 pounds of dog treats

0.75 pounds of cat treats

0.5 pounds of rabbit treats

1.25 pounds of skunk treats

Which treats weigh the least?

A. Dog treats

B. Rabbit treats

C. Cat treats

D. Skunk treats

Emily bought the following amounts of treats for

animals at the vet clinic.

2.0 pounds of dog treats

0.75 pounds of cat treats

0.5 pounds of rabbit treats

1.25 pounds of skunk treats

Which treats weigh the least?

A. Dog treats

B. Rabbit treats

C. Cat treats

D. Skunk treats

24.
You do #2

Emily bought the following amounts of treats for

animals at the vet clinic.

2.0 pounds of dog treats

0.75 pounds of cat treats

0.5 pounds of rabbit treats

1.25 pounds of skunk treats

Which treats weigh the least?

A. Dog treats

B. Rabbit treats

C. Cat treats

D. Skunk treats

Emily bought the following amounts of treats for

animals at the vet clinic.

2.0 pounds of dog treats

0.75 pounds of cat treats

0.5 pounds of rabbit treats

1.25 pounds of skunk treats

Which treats weigh the least?

A. Dog treats

B. Rabbit treats

C. Cat treats

D. Skunk treats

25.
Lesson Review

• When comparing decimals, start in the

tenths place. The decimal with the biggest

value there is greater. If they are the same,

move to the hundredths place and compare

these values. If the values are still the

same keep moving to the right until you

find one that is greater or until you find

that they are equal.

• When comparing decimals, start in the

tenths place. The decimal with the biggest

value there is greater. If they are the same,

move to the hundredths place and compare

these values. If the values are still the

same keep moving to the right until you

find one that is greater or until you find

that they are equal.

26.
Exit Ticket

Use the >,<, or = 0.07____ 0.7

A. <

B. >

C. =

Use the >,<, or = 0.07____ 0.7

A. <

B. >

C. =

27.
Exit Ticket Answer

• The correct answer is A.

This Photo by Unknown Author is licensed under CC BY

• The correct answer is A.

This Photo by Unknown Author is licensed under CC BY

28.