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Mr. Walz 6th Grade Math Page 1
DECIMALS PRACTICE BOOKLET
TABLE OF CONTENTS
SKILL 1: Representing Decimals and Place Value .........................................................................3
SKILL 2: Graph Decimals on a Number Line ................................................................................5
Standard 6.1.A OBJECTIVE: Order non-negative decimals using the number line/lists.
EXAMPLE:
Another method to order decimals is to graph them on a number line. Here is the example
above using the number line method.
The order from least to greatest is 4, 4.0073, 4.073, 4.73
***Read the directions carefully to make sure you are listing them in the order that is asked
for.***
SKILL 4: PRACTICE SET #1 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
3 4 5 6
4
4.0073 4.073
4.73
Mr. Walz 6th Grade Math Page 10
13) 14) 15)
SKILL 4: PRACTICE SET #2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15)
SKILL 4: PRACTICE SET #3 2) 1) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
Mr. Walz 6th Grade Math Page 11
SKILL 5: Decimal Addition
Standard 5.2.F OBJECTIVE: Fluently and accurately add decimals
EXAMPLE:
Find the sum. SKILL 5: PRACTICE SET #1 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL 5: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL 5: PRACTICE SET #3
1) 2) 3) 4)
5) 6) 7)
8) 9) 10)
1. Line up the decimal points
2. Add digits in the same place value position
(think addition of whole numbers)
3. Decimal drops straight down to final answer.
Mr. Walz 6th Grade Math Page 12
SKILL 6: Decimal Subtraction
Standard 5.2.F OBJECTIVE: Fluently and accurately subtract decimals
EXAMPLE:
Find the difference.
SKILL 6: PRACTICE SET #1
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL 6: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL 6: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
1. Line up the decimal points
2. Subtract digits in the same place value position
(think subtraction of whole numbers)
3. Decimal drops straight down to final answer.
Mr. Walz 6th Grade Math Page 13
SKILL 7: Estimate Decimal Sums and Differences
Standard 5.2.G OBJECTIVE: Estimate sums and differences of decimals to
approximate solutions to problems and determine reasonableness of answers.
EXAMPLE:
***HINT: Add or subtract the whole numbers together and ignore the decimal portion to estimate. Estimation is used to check the reasonableness of your final answer. It is used in word problems too.***
Estimate each sum or difference using front-end estimation. Since it’s an estimation there
should be no exact answer given.
SKILL 7: PRACTICE SET #1
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL #7: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
SKILL #7: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Mr. Walz 6th Grade Math Page 14
SKILL 8: Unit 2 Review 1
This is a review of all the standards you have worked on so far this year. Use your entrance
tasks to help if needed.
SKILL 8: PRACTICE SET #1 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
SKILL 8: PRACTICE SET #2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
SKILL 8: PRACTICE SET #3 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Graph 11.67 on a number line
Graph 8.21 on a number line Simplify.
4.122.120
Simplify.
23.435Simplify.
45.95.23.4
Evaluate.
89.7;4.13 xx
Evaluate.
23.19;4.8 yy
Evaluate.
87.4;12.12 aa
Multiply. 9145Multiply. 1623
Graph 0.45 on a number line
Graph 14.32 on a number line Simplify.
58.3423.14
Simplify.
327.6Simplify.
19.23.47.5
Evaluate.
4.9;7.6 xx
Evaluate.
89.32;34.45 tt
Evaluate.
78.9;32.4;3.16 cbcb
Multiply. 4521 Multiply. 3256
Graph 2.2 on a number line
Graph 54.7 on a number line Simplify.
91.3268.57
Simplify.
422.15Simplify.
8.65.48.12
Evaluate.
23.11;4.2 xx
Evaluate.
4.13;43.6 cc
Evaluate.
2.19;9.53.4 tt
Multiply. 7243
Multiply. 4862
Mr. Walz 6th Grade Math Page 15
SKILL 9: Decimal Multiplication by Whole Numbers
Standard 6.1.F OBJECTIVE: Fluently and accurately multiply non-negative decimals.
EXAMPLE A:
Calculate 0.0005 × 8.
Solution:
EXAMPLE B:
Calculate 47.4 × 45.
Solution:
1. Set-up multiplication problem ignoring all the decimal points.
2. Complete long multiplication (Unit 1; Skill 3).
3. Count the number of decimals digits (those to the right of the
decimal point) in both numbers.
4. Move decimals that many places to the left in final answer (you
made need to add zeroes to complete this).
Mr. Walz 6th Grade Math Page 16
Multiply.
SKILL 9: PRACTICE SET #1
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
SKILL 9: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
SKILL 9: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11)
Mr. Walz 6th Grade Math Page 17
SKILL 10: Decimal Multiplication by Tenths
Standard 6.1.F OBJECTIVE: Fluently and accurately multiply non-negative decimals.
EXAMPLE A:
Calculate 0.8 × 0.9.
Solution:
EXAMPLE B:
Calculate 0.78 × 0.5.
Solution:
EXAMPLE C:
Multiply.
SKILL 10: PRACTICE SET #1
1) 2) 3)
1. Set-up multiplication problem ignoring all the decimal points.
2. Complete long multiplication (Unit 1; Skill 3).
3. Count the number of decimals digits (those to the right of the
decimal point) in both numbers.
4. Move decimals that many places to the left in final answer (you
made need to add zeroes to complete this).
Mr. Walz 6th Grade Math Page 18
4) 5) 6) 7) 8) 9)
10) 11) 12) 0.8 × 0.9
13)
SKILL 10: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
SKILL 10: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9)
Mr. Walz 6th Grade Math Page 19
SKILL 11: Decimal Multiplication by Hundredths
Standard 6.1.F OBJECTIVE: Fluently and accurately multiply non-negative decimals.
EXAMPLE A:
Calculate 3.24 × 0.67.
Solution:
EXAMPLE B:
Calculate 2.731 × 0.32
Solution:
87392.0
81930
5462
32.0
731.2
Thus, the final answer is 0.87392
Multiply.
SKILL 11: PRACTICE SET #1
1) 2) 3) 4) 5) 6)
1. Set-up multiplication problem ignoring all the decimal points.
2. Complete long multiplication (Unit 1; Skill 3).
3. Count the number of decimals digits (those to the right of the
decimal point) in both numbers.
4. Move decimals that many places to the left in final answer (you
made need to add zeroes to complete this).
3 decimal places
2 decimal places
5 decimal places in the answer
Mr. Walz 6th Grade Math Page 20
7) 8) 9) 10) 11) 12) 13)
SKILL 11: PRACTICE SET #2
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
SKILL 11: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9)
Mr. Walz 6th Grade Math Page 21
SKILL 12: Decimal Multiplication and Area Model
Standard 6.1.B OBJECTIVE: Represent multiplication decimals using area models and the number line, and
connect each representation to the related equation..
EXAMPLE A: 3 x 0.2
1) 0.2 represents 2 bars out of 10
2) 3 x 0.2 represents 2 bars shaded 3 times
3) So, 3 x 0.2 = 0.6 because, with 3 groups of 0.2,
six-tenths of a whole (0.6) is shaded.
EXAMPLE B: 0.2 x 0.3
1) Represent the number 0.2 (2 bars shaded out of 10)
2) Cut 0.2 into tenths (ten equal parts)
3) Shade three of the tenths to show 0.3
4) Since each small square is 0.01 of the whole and six of
the small squares are marked, the diagonally
marked section represents 0.06, so 0.3 x 0.2 = 0.06.
SKILL 12: PRACTICE SET #1
Complete the problems using the area model already provided.
1) 2)
Copy and complete the area model to represent each problem. 3) 4)
5) 6)
MULTIPLY DECIMALS USING ANY WAY YOU HAVE LEARNED. 7) 8) 9) 10)
3.04.0 5.02.0
6.05.024.0
5.01.06.07.0
345.0 12.05.028.0 42.0
Mr. Walz 6th Grade Math Page 22
11) 12)
SKILL 12: PRACTICE SET #2
Complete the problems using the area model already provided.
1) 2)
Copy and complete the area model to represent each problem. 3) 4) 5) 6)
MULTIPLY DECIMALS USING ANY WAY YOU HAVE LEARNED. 7) 8) 9) 10) 11) 12)
SKILL 12: PRACTICE SET #3
Complete the problems using the area model already provided.
1) 2)
MULTIPLY DECIMALS USING ANY WAY YOU HAVE LEARNED. 3) 4)
5) 6) 7) 8) 9) 10)
75.06.0 59.0
7.09.0 5.04.0
3.05.033.0
8.01.03.02.0
362.0 26.07.0
49.0 71.034.05.0 643.0
3.02.0 3.03.0
9.05.042.02.01.04.07.0
525.0 4.13.0
74.039.08.0
Mr. Walz 6th Grade Math Page 23
SKILL 13: Decimal Multiplication by Power of 10
Standard 6.1.E OBJECTIVE:Multiply decimals by 1000, 100, 10, 1, 0.1, 0.01, & 0.001.
If you are multiplying by 10, 100 or 1000…
then move the decimal to the RIGHT the same number as there are zeroes.
If you are multiplying by 0.1, 0.01, or 0.001…
then move the decimal to the LEFT the same number as there are zeroes.
EXAMPLE A:
Multiply using the rules for powers of 10. SKILL 13: PRACTICE SET #1 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
SKILL 13: PRACTICE SET #2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14)
SKILL 13: PRACTICE SET #3 1) 2) 3) 4) 5) 6) 7) 8) 9)
EXAMPLE ANSWER WHAT HAPPENED TO
THE DECIMAL?
2.1 x 10 21 moved one place right
2.1 x 100 210 moved two places right
2.1 x 1000 2100 moved three places right
2.1 x 0.1 .21 moved one place left
2.1 x 0.01 .021 moved two places left
2.1 x 0.001 .0021 moved three places left
1.0697.0
1.04.9 01.04.21.04.0 001.023.96 01.0137
100845.0
1075.0 01.034.19
10012 001.02.214 100032.4
1003.82 1031.0 1.03.8
001.03.724 1000812.0
1.09.3
01.05.12
1.04.31
10003.0 01.01.7
1.02.13 108.16 1005.1
100043.19 01.02.4
10092.0
001.05.0
Mr. Walz 6th Grade Math Page 24
SKILL 14: Estimate Decimal Products
Standard 6.1.C OBJECTIVE: Estimate products of decimals.
EXAMPLE: 8.345 x 4.983
8.345 rounds to 8; 4.983 rounds to 5
Rounding the factors gives 8 x 5 = 40
Therefore, a good estimate of the product of the decimal numbers 8.345 and 4.983 is 40. ***HINT: Use the tenths digit to round your whole number. If it is 4 or less, keep the whole number the same. If it is 5 or above, increase the whole number by 1. Estimation is used to check the reasonableness of your final answer. It is used in word problems too.***
Estimate each product using rounding. Since it’s an estimation there should be no exact
answer given.
SKILL 14: PRACTICE SET #1
1) 7.63 x 9.98 2) 2.33 x 4 3) 3.1259 x 49.8783 4) 1.69 x 9
5) 6) 7) 8) 9) 10) 11) 12) 13)
SKILL 14: PRACTICE SET #2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13)
SKILL 14: PRACTICE SET #3
1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Mr. Walz 6th Grade Math Page 25
SKILL 15: Unit 2 Review 2
This is a review of all the standards you have worked on so far this year. Use your entrance
tasks to help if needed.
SKILL 15: PRACTICE SET #1 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
SKILL 15: PRACTICE SET #2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
SKILL 15: PRACTICE SET #3 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Compare.
Compare. Simplify.
2.17.03.2
Simplify.
34.752.5
Simplify.
100)23.312.8(
Evaluate.
3.4;3 xx
Evaluate.
4.0;3.4 yy
Evaluate.
001.0;12.12 aa
Divide. 3339 Divide. 15360
243.0253.0
76.4567.45
Compare.
Compare. Simplify.
7.46.04.1
Simplify.
43.696.21
Simplify.
001.0)76.34.10(
Evaluate.
3.12;5 xx
Evaluate.
2.3;8.4 yy
Evaluate.
100;34.42 aa
Divide. 57612 Divide. 8504
321.0358.0
594.059.0
Compare.
Compare. Simplify.
59.23.15.7
Simplify.
65.442.7
Simplify.
1.0)24.194.21(
Evaluate.
34.0;4.1 xx
Evaluate.
7.253;03.0 yy
Evaluate.
1000;0843.0 aa
Divide. 53805
Divide. 22990
32.145.1
60.26.2
Mr. Walz 6th Grade Math Page 26
SKILL16: Decimal Division with Whole Numbers
Standard 6.1.F OBJECTIVE: Fluently and accurately divide non-negative decimals.
EXAMPLE A:
EXAMPLE B:
1. Set-up division problem.
2. Complete long division (Unit 1; Skill 4).
3. Place the decimal in the quotient above the decimal in the dividend
Standard 6.1.C OBJECTIVE: Estimate quotients of decimals.
1. Round the divisor (what goes outside the box or given second) to the nearest whole number.
2. Round the dividend (what goes inside the box or given first) to the nearest number that the
divisor can go evenly into
3. Divide.
EXAMPLE: 42.345 ÷ 5.12
5.12 is the divisor and round to 5
42.345 is the dividend and this rounds to 40 since 5 can evenly divide 40
Therefore, a good estimate is 40 ÷ 5 which is 8. ***HINT: It may seem that you have to round the dividend a lot. That is ok because you want to be able to divide evenly. Estimation is used to check the reasonableness of your final answer. It is used in word problems too.***
Estimate each quotient using rounding. Since it’s an estimation there should be no exact