5.NBT.3- Place Value and Decimals

5.NBT.3- Place Value and Decimals

by Charles Bullins

​Place Value and Decimals

• ​Decimals can be written in several ways.

• Standard Form: 8.634

• Expanded Form: 8 + 0.6 + 0.03 + 0.004

• Word Form: Eight and six hundred thirty-four thousandths

Draw

Color the Ones Place in Yellow, the Tens Place in Orange, the Hundreds place in Green and the Thousands Place in Blue.

​Check Your Work

• ​Look at this picture to see if you are on the right track with your whole number place values.

Draw

Color the Tenths Place Pink, the Hundredths Place Green and the Thousandths Place in blue.

​Check Your Work

• ​Check to see if you have the decimal place values in the correct spots.

Multiple Choice

 10.269
What digit is in the tenths place?

• 6
• 9
• 0
• 2

Multiple Choice

What is the value of the digit 5 in  12,684.25?

• 0.05
• 5
• 50
• 0.5

Multiple Choice

What is the value of the 4 in  92.024 ?

• 4
• 0.004
• 40
• 0.04

Multiple Choice

What place is the digit 0 found in 5.097 ?

• ones
• tenths
• tens
• hundredths

Multiple Choice

Which digit is in the thousandths place in the number 473.521?

• 4
• 5
• 2
• 1

Multiple Choice

Lead melts at 327.46 degrees Celcius. What is the value of the 6 in 327.46?

• 6 hundreths
• 6 tenths
• 6 hundreds
• 6 thousandths

Multiple Choice

What place is the seven in?
456.007

• thousandths
• tenths
• thousands
• hundredths

​Word Form/Standard Form

​You can go from Word to Standard Form OR from Standard to Word Form.

​

​Three hundred fifty-six thousandths = 0.356

OR

​0.237 = Two hundred thirty-seven thousandths

Multiple Choice

Which is the correct word form for 23.205?

• twenty-three two hundred five
• twenty-three and twenty five hundredths
• twenty-three and two hundred five thousandths
• twenty-three and two hundred five thousands

Multiple Choice

What is the standard form of Thirty-eight and seventy-two hundredths?

• 38.72
• 308.720
• 3872
• 308.27

Multiple Choice

17 hundredths=

• 1,700
• 0.17
• 1.7
• 0.017

Multiple Choice

What is this decimal in word form?
0.72

• seventy-two tenths
• seventy-two hundredths
• seventy-two thousandths
• seventy-two

Multiple Choice

Which number represents six and eighty-four thousandths in standard form?  

• 684
• 6.84
• 68.40
• 6.084

Multiple Choice

What is the WORD FORM of 7.61?

• Seven and sixty
• Seven and sixty-one hundreths
• Seven and six
• Seven and sixty-one tenths

Multiple Choice

What is the STANDARD FORM of
 Two and one hundred eight thousandths?

• 2.108
• 2108
• 2.18
• 2.80

​Decimals as Fractions

​One key thing to get is that you can change decimals into fractions.

​

.01 is equal to 1/100​

​

Understanding this, how it works and how to do it will not only make decimals and fractions easier, it will greatly increase your understanding of so many other math problems.

Multiple Choice

What is 5/1000 as a decimal

• 0.05

• 0.500

• 0.005

• 0.050

Multiple Choice

Ahmed correctly answered 9/10 of the questions on his science test. Which decimal number represents the part of the questions Ahmed answered correctly on the test?

• 0.9/10
• 0.90
• 0.09
• 9.0

Multiple Choice

Express 345/10 as a decimal

• 0.345

• 3.45

• 34.5

• 0.0345

Multiple Choice

What decimal is represented by the fraction above?

• 8

• 8.0

• 0.8

• 0.08

Multiple Choice

Which decimal is represented by the fraction above?

• 0.32

• 3.2

• 32.0

• 0.032

Multiple Choice

Which decimal represents the amount shown?

• 0.4

• 4.0

• 0.04

• 0.44

Multiple Choice

How would you write .3 as a fraction?

• 3

• 3/10

• 3/100

• 3/1000

Multiple Choice

Laylonni completed a walk last week. She walked 7/10 of the walk and the last 23/100 of the walk. How much of the walk did she walk?

• 30/100
• 16/100
• 93/100
• 50/100

Multiple Choice

Which pair are equal?

• 2/10 and 210

• .09 and 9/100

• 1 and .1

Multiple Choice

Which are equal?

• 97/1000 and .097

• 96/10 and .96

• 45/100 and 4.5

Draw

Write 3/10 as a decimal

Draw

Write 5/1000 as a decimal

Draw

Write 3/100 as a decimal

Draw

Write 23/100 as a decimal

Multiple Choice

What is the correct way to write 3.45 in word form?

• three point four five

• three and forty five tenths

• three and forty five hundredths

• three and forty five

Multiple Choice

How would you write twenty-seven and three tenths in standard form(numbers)?

• 27.03

• 273

• 27.3

• 20.73

Multiple Choice

What is the correct way to write 83.04 in word form?

• eight three four

• eighty-three and four hundredths

• eighty-three and four tenths

Multiple Choice

What is the correct way to write sixteen and four thousandths in standard form(numbers)?

• 16.4000

• 16.40

• 16.004

• 60.4

​Expanded Form of Decimals

​There are times when we are asked to write a number with decimals in EXPANDED FORM.

​

​EXAMPLE:

​4 x 1 + 6 x 1/10 + 2 x 1/1000

​

Which Would Be

​4.602

​Expanded Form of Decimals

​Writing decimals in expanded form simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together.

​

​34.579

​3x10 + 4x1 + 5 x 1/10 + 7 x 1/100 + 9 x 1/1000

Multiple Choice

Choose the correct expanded form of 3.704 from your options below.  

• 3 and seven hundred four thousandths
• 3 + 7 + 4
• 3 + .7 + .04
• (3 x 1) + (7 x 1/10) + (4 x 1/1000)

Multiple Choice

Write in expanded form.
2.08

• (2x1) + (8x 1/100)
• 2 + 8
• 2 x 8
• (2x 10) + (8x1/10)

Multiple Choice

Write in standard  form.
(5x10)+(3x1)+(8x1/10)

• 53.8
• 50.38
• 53.08
• 53.38

Multiple Choice

Which number represents six and eighty-four thousandths in standard form?  

• (6 x 1) + (8 x 1/100) + (4 x 1/1000)
• 6.84
• (6 x 1) + (8 x 1/10) + (4 x 1/100)
• 6.084

Multiple Choice

Choose the correct expanded form of 3.704 from your options below.  

• 3 and seven hundred four thousandths
• 3 + 7 + 4
• 3 + .7 + .04
• (3 x 1) + (7 x 1/10) + (4 x 1/1000)

Multiple Choice

What is 1.726 in expanded form?

• 1 + 0.7 + 0.02 + 0.006

• 1 + 7 + 2 + 6

• 1 + 0.07 + 0.02 + 0.006

• 1 + 0.7 + 0.002 + 0.006

Multiple Choice

What is 0.564 in expanded form?

• 0.5 + 0.006 + 0.004

• 0.5 + 0.6 + 0.004

• 0.05 + 0.06 + 0.004

• 0.5 + 0.06 + 0.004

Multiple Choice

What is 0.37 in expanded form?

• 3 + 7

• 0.3 + 0.07

• 0.03 + 0.07

• 0.03 + 0.007

​Comparing Decimals

• ​Write the decimal numbers in a place value chart.

• Compare the digits starting with the greatest place value.

• If the digits are the same, compare the digits in the next place value to the right. Keep comparing digits with the same place value until you find digits that are different.

Multiple Choice

0.89 _____ 0.9

• <

• >

• =

Multiple Choice

0.19 _____ 0.2

• <

• >

• =

Multiple Choice

1.09 _____ 1.37

• <

• >

• =

Multiple Choice

0.982 _____ 0.939

• <

• >

• =

Multiple Choice

0.500 _____ 0.5

• <

• >

• =

Multiple Choice

<, >, or =

6.265     6.26

• <
• >
• =

Multiple Choice

2.8___2.67

• <
• >
• =

Multiple Choice

1.04___1.4

• <
• >
• =

​Now What?

​We have reviewed, A LOT, about place value today.

​

​One way to really know if you understand something is if you can explain it to someone else.

​

​You have a packet with 4 blank Instagram templates. "Post" on your Insta about what you have learned. There is place value, decimals in number form, written/word form, decimals as fractions, comparing decimals, expanded form, ordering decimals (least to greatest, or greatest to least).

​

​You need to pick four different methods to post about. Your post should have the math, the explanation, and a picture to go along with it.