Copy of Complete Guide to Decimals

Created by Jennifer Findley

Contents
1. Place Value Chart
2. Decimal Place Value Chart 21. Decimal Match Up (Models and
3. Tenths Chart Number Form)
4. Hundredths Chart
5. Comparing Decimals Chart 22. Decimal Match Up (Number Form
6. Writing Decimals in Word Form and Word Form)

Chart 23. Adding and Subtracting Decimals
7. Rounding Decimals Chart with Models Task Cards (20
8. Adding and Subtracting Decimals cards)

Chart 24. Adding and Subtracting Decimals
9. Multiplying Decimals Chart Task Cards (20 cards)
10. Dividing Decimals Chart
11. Comparing Decimals Quiz (2) 25. Rounding Decimals Task Cards (20
12. Rounding Decimals Quiz cards)
13. Writing Decimals in Word Form
26. Writing Decimals in Word Form
Quiz Task Cards (20 cards)
14. Writing Decimals in Expanded
27. Writing Decimals in Expanded
Form Quiz Form Task Cards (20 cards)
15. Matching Models Quiz
16. Making Models Quiz 28. Multiplying and Dividing Decimals
Task Cards

29. Task Card Recording Sheets (2
Options)

17. Adding and Subtracting Decimals

Quiz

18. Multiplying Decimals Quiz

19. Dividing Decimals Quiz

20. Comparing Decimals Task Cards

(20 Cards)

Common Core Alignment

4.NF.6.Use decimal notation for fractions with denominators 10 or 100.

4.NF.7 Compare two decimals to hundredths by reasoning about their size.
Recognize that comparisons are valid only when the two decimals refer to the
same whole. Record the results of comparisons with the symbols >, =, or <, and
justify the conclusions, e.g., by using a visual model.

5.NBT.3 Read, write, and compare decimals to thousandths.
Read and write decimals to thousandths using base-ten numerals, number
names, and expanded form.

Compare two decimals to thousandths based on meanings of the digits in
each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.4 Use place value understanding to round decimals to any place.

5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete
models or drawings and strategies based on place value, properties of
operations, and/or the relationship between addition and subtraction; relate
the strategy to a written method and explain the reasoning used.

6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the
standard algorithm for each operation.

Place Value
Chart

Ten Thousands Hundreds Tens Ones Tenths Hundredths Thousandths
Thousands



Decimal Place Value

.789652



Tenths

1/10 = 0.1 8/10 = 0.8

4/10 = 0.4 5/10 = 0.5

2/10 = 0.2 9/10 = .9

6/10 = 0.6 7/10 = 0.7 10/10 = 1

3/10 = 0.3



Hundredths

1/100 = 0.01 8/100 = 0.08

4/100 = 0.04 5/100 = 0.05
9/100 = 0.09
2/100 = 0.02

6/100 = 0.06 7/100 = 0.07
10/100 = .1 = 0.10
3/100 = 0.03



Comparing Decimals

 Start at the left. Hint: You can add 0s to the end

 Compare the numbers one at a of decimals to help you
compare.
time.
 Stop when you get to a number .37 .370

that is larger. .370 = .370



324.685

 Write the whole number. Three
hundred
 Write “and” for the twenty four
decimal point.
and

 Write the # after the six hundred
decimal like normal. eighty- five
thousandths.
 Write the last place value.



24.685

2 x 10 + 4 x 1 + 6 x (1/10) + 8 x (1/100) + 5 x (1/1000)

Tenths = 1/10
Hundredths = 1/100
Thousandths = 1/1,000
Ten Thousandths = 1/10,000



Rounding
Decimals

Find the number, Round to the nearest tenth.
Look right next door,
4. 6 7 5
5 or more?
Raise the Score! 4.700

4 or less? Everything Everything
Let it Rest! before the after the #

# stays. goes.



Adding and Subtracting
Decimals

Step 1: Line up your
decimals.

Step 2: Add 0s if

needed.

Step 3: Add or
subtract.

Step 4: Bring down
your decimal.



Multiply the numbers just like you would if

they were whole numbers. Ignore the

decimal points till the end.
21
1
2 decimal
6.52 places

×5.2 1 decimal
place

Ignore the 1304 3 total
decimals till +32600 decimal
33.904. places
the end!

After you multiply, add the number of decimal places in the
factors, and move the decimal point that many places.



Ignore the .5 29

decimals and 1.45

divide as if the -10

numbers were 45
- 45
whole
0
numbers.

Does *Move the decimal in Bring the
McDonalds the divisor all the decimal point
Serve way to the right.
Burgers up and you
*Move the decimal in are done!
the dividend the
same number of
places to the right.



Comparing Decimals

Complete the comparison with >, <, or = .

.98 .89 1.13 1.1301 6.985 6.99

.575 .6 .333 .3334 .11 .011

.3 .300 .712 7.12 .80 .8

Answer Key Comparing Decimals

Complete the comparison with >, <, or = .

.98 > .89 1.13 < 1.1301 6.985 < 6.99

.575 < .6 .333 < .3334 .11 > .011

.3 = .300 .712 < 7.12 .80 = .8

Comparing Decimals

Put the decimals in order from least to greatest.

.865, .87, .86 .423, .4, .43 .61, .595, .6
____________ ____________ ____________

Put the decimals in order from greatest to least.

.72, .731, .715 .549, .5, .55 .1, .01, .11, 1.1
____________ ____________ ____________

Four friends ran a race. Their finishing times were 8.75, 8.65,
8.7, 8.85. Put these times in order from least to greatest.
____________________________________

Answer Key Comparing Decimals
Put the decimals in order from least to greatest.

.865, .87, .86 .423, .4, .43 .61, .595, .6

__.8_6_, ._8_65_,_.8_7___ ___.4_,_.4_2_3,_.4_3___ ___.5_9_5_, ._6_, ._61___

Put the decimals in order from greatest to least.

.72, .731, .715 __._5.4_59_5,,_.5._54_,9_.,5._55__ __.1_, _.10._1,1_.,11_,.1._1,1_.,0_11 ._1_

___.7_31_, ._72_,_.7_15___

Four friends ran a race. Their finishing times were 8.75, 8.65,

8.7, 8_.8_5_._P_u_t_t_h_e_s_e_t_im_e_8s_.6i_n5_,o_7r._7d,_e8_r.7_f5_ro_m__le_a_s_t_t_o_g_r_e_atest.

Rounding Decimals

Round each decimal to the nearest tenths, hundredths, and ones place.

tenth hundredth one

6.875

3.952 Round this number to the
nearest thousandth.
Round this number to the 3, 689.5234
nearest tenth. .943
A. 3, 689.523
A. 1.0 B. 3, 689.524
B. .10 C. .003
C. 0.9

Answer Key Rounding Decimals

Round each decimal to the nearest tenths, hundredths, and ones place.

tenth hundredth one

6.875 6.9 6.88 7

3.952 4 3.95 4

Round this number to the Round this number to the
nearest tenth. .943 nearest thousandth.
3,689.5234

A. 1.0 C A. 3, 689.523 A
B. .10 B. 3, 689.524
C. 0.9 C. .003

Writing Decimals in Word Form

Write each decimal in word form.

8.7985 0.652

.009 365.231

6,574,231.21 1.546

Writing Decimals in Word Form

Answer Key
Write each decimal in word form.

8.7985 0.652

Eight and seven thousand, Six hundred fifty-two
nine hundred eighty-five thousandths

ten-thousandths

.009 365.231

Nine thousandths Three hundred sixty-five
and two hundred thirty-
6,574,231.21
one thousandths
Six million, five hundred seventy-
four thousand, two hundred thirty- 1.546

one and twenty-on hundredths One and five hundred
forty-six thousandths

Writing Decimals in Expanded Form

Write each decimal in expanded form.

.632 1.985

15.417 .013
1.845 1,956.206

Answer Key

Writing Decimals in Expanded Form

Write each decimal in expanded form.

.632 1.985

6 x 1/10 + 3 x 1/100 + 2 x 1 x 1 + 9 x 1/10 + 8 x 1/100 + 5
1/1000 x 1/1000

15.417 .013

1 x 10 + 5 x 1 + 4 x 1/10 + 1 x 1 x 1/100 + 3 x 1/1000
1/100 + 7 x 1/1000
1,956.206
1.845
1 x 1,000 + 9 x 100 + 5 x 10 +
1 x 1 + 8 x 1/10 + 4 x 1/100 + 5 6 x 1 + 2 x 1/10 + 6 x 1/1000
x 1/1000

Write the decimal that matches the decimal model.

Answer Key 0.70
Write the decimal that matches the decimal model.

0.2

0.83 0.8
1 0.31

Shade in the correct decimal on the model. 0.12
0.25 0.8 0.03 0.76

1.65 2.05

Answer Key 0.12

Shade in the correct decimal on the model.
0.25 0.8 0.03 0.76

1.65 2.05

Adding and Subtracting Decimals

Solve. Remember to line up your decimal if needed.

6.85 - 1.95= 7.8
- 0.36

4.991 + 0.23= 6.54
3.86 + 1.995= +1.9

9.00
-1.54

Answer KeyAdding and Subtracting Decimals

Solve. Remember to line up your decimal if needed.

6.85 - 1.95= 7.8
- 0.36
4.9
7.44

4.991 + 0.23= 6.54
+1.9
5.221
8.44
3.86 + 1.995=
9.00
5.855 -1.54

7.46

Solve. Show all your work.

6.89 3.12 .896
x 3.5 x .64 x 2.1

Answer Key
Solve. Show all your work.

6.89 3.12 .896
x 3.5 x .64 x 2.1

24.112 1.9968 1.8816

Solve. Show all your work.

.8 64.8 1.2 14.4 .15 30.45

Answer Key
Solve. Show all your work.

.8 64.8 1.2 14.4 .15 30.45

81 12 203

Directions: Compare the
decimals using <, >, or =.

.789 0.8 .33 .330

1 2

6.898 6.8 0.112 0.211

3 4

.745 7.45 0.77 0.077

5 6

1.07 1.070 8 0.8

7 8

.405 0.45 3.52 3.520

9 10

.2159 .3 7.1 .71

11 12

10.23 1.023 0.3 0.003

13 14

2.999 2.9 20.2 2.02

15 16