1. Decimal Place Value: Decimal points are read as the word “and”
Place values to the right of the decimal point represent part of a whole
Read the numbers in groups of three then read the place value name
Place values to the right of the decimal point end with “ths”
Place values to the right of the decimal point “mirror” place values to the left of the decimal point

2. ___ ___ ___ ___ ___ ___ ___
Decimal Place Value:
___ ___ ___ ___ ___ ___ ___
Thousands
Hundreds
Tens
Units
Tenths
Hundredths
Thousandths

3. Rounding Decimals: Steps for Rounding:
Step 1: Identify the place value you are
rounding to and underline it
Step 2: Circle the number to the right
Step 3: Determine whether to “round up” or
to “round down”
If the circled number is 0-4, the underlined number stays the same and all the digits to the right of the circled number fall off
If the circled number is 5-9, the underlined number goes up one and all the digits to the right of the circled number fall off

4. Rounding Practice Problems:
Nearest Tenth
Nearest Hundredth
4.6
4.58
13.8
13.80
179.86
179.9

5. Comparing Decimals: Steps for Comparing Decimals Values
Step 1: List the numbers vertically
“Stack” the decimal points
Add zeros as place holders as needed
Step 2: Compare the whole number part then
compare the decimal parts moving to the right (as you would if you were alphabetizing words)
Step 3: Put in the correct order (from least to greatest or greatest to least)

6. Comparing Decimals Practice:
Practice Problems: Arrange each group of numbers in order from least to greatest.
To Compare = Be Fair!

7. Comparing Decimals Practice:
Practice Problems: Arrange each group of numbers in order from least to greatest.
To Compare = Be Fair!

8. Basic Operations with Decimals:
Addition and Subtraction
Step 1: Write the numbers vertically
“Stack” the decimal points
Add zeros as place holders
Step 2: Move the decimal point straight down into your answer
Step 3: Add or subtract

9. Adding and Subtracting Decimals Practice:
Practice Problems: Find the sum for each. =
33.01 1 1
2.30
Be Fair!
3.71 3 3
.01

10. Adding and Subtracting Decimals Practice:
Practice Problems: Find the sum for each. =
14.113 1 1
3.140
Be Fair!
2.073 14 .1 13

11. Adding and Subtracting Decimals Practice:
Practice Problems: Find the difference for each.
31.73 – =
9 – =
23.5 – =
19.66
0.815
6.403
Be Fair!

12. Adding and Subtracting Decimals Practice:
Practice Problems: Find the sum or difference for each.
4.66 – 2.45 = =
25 – =
2.21
8.87
27.22
Be Fair!

13. Multiplying Decimals:
Steps for Multiplication
Step 1: Write the problem vertically (just as you would a regular multiplication problem)
Step 2: Ignore the decimal point(s) and multiply as if you were multiplying whole numbers
Step 3: Determine where the decimal point goes in the product
However many digits are to the right of the decimal point(s) in the problem… that’s how many digits are to be to the right of the decimal point in the product.

14. Multiplying Decimals Practice:
Practice Problems:
Find the product of each.
2 x 3.14 =
Note (2 dp)
314 x2
628

15. Multiplying Decimals Practice:
Practice Problems:
Find the product of each.
8.097 x .05 =
Note (5 dp)
8097 x5
40485

16. Multiplying Decimals Practice:
Practice Problems:
Find the product of each.
1.042 x 2.3 = E X T N S I O
Note(4 dp)
1042
Equivalent methods are possible
x23
3126
20840
23966

17. Multiplying Decimals Practice:
Practice Problems: Find the product of each.
4.7 x 1000 =
3 x =
0.27 x 15 = E X T N S I O
4 700
1.701
4.05

18. Multiplying Decimals Practice:
Practice Problems: Find the product of each.
(2.5)(1.5) =
(1.3)(7) =
5.41 x 200 = E X T N S I O
3.75
9.1
1 082

19. Dividing with Decimals:
There are 2 types of division problems involving decimal points:
No decimal in the divisor
Decimal in the divisor

20. Division with Decimals:
NO decimal point in the divisor…
Step 1: Write the problem in the traditional long division format
Step 2: Move the decimal point in the dividend straight up into the quotient
Step 3: Divide as usual
Remember to divide out one more place than you are rounding to…

21. Division with Decimals:
Yes…Decimal point in the divisor…
Step 1: Write the problem in the traditional long division format
Step 2: Move the decimal point in the divisor to the far right of the divisor
Step 3: Move the decimal point the SAME number of places in the dividend
Step 4: Move the decimal point in the dividend straight up into the quotient
Step 5: Divide as usual
Remember to divide out one more place than you are rounding to…

22. Division Practice: Practice Problems: Find the quotient for each.
3.753  3 =
8.7  100 =
245.9 ÷ 1000 =
0.65 ÷ 5 =
1.251 3
1.251
0.087
0.2459
0.13
3.753

23. Division Practice: Practice Problems: Find the quotient for each.
428.6 ÷ 2 =
2.436 ÷ 0.12 =
4.563 ÷ =
21.35 ÷ 0.7 = 2 E X T N S I O
214.3
20.3
1 521
30.5
428.6 12
243.6 3
4563 7
213.5

24. Division Practice: Practice Problems: Find the quotient for each.
97.31 ÷ 5 =
÷ 0.2 =
÷ 0.02 =
÷ 1000 = E X T N S I O
19.462
4.271
1.5004

25. Problem Solving with Decimals:
Follow the correct Order of Operations only remember to apply the rules that go with decimals.
B.O.D.M.A.S.
B – Brackets
O – Of
D- Division
M – Multiplication
A – Addition
S – Subtraction
Do whichever one comes first working from left to right

26. Order of Operations Practice:
Practice Problems: Solve each by following the correct order of operations.
2.3 x 4  =
3.5  x 0.13 =
2(7 – 2.49) =
14  (3.1 – 2.56) x 2 = E X T N S I O
8.6
0.7795
9.32
71.08

27. Order of Operations Practice:
Practice Problems: Solve each by following the correct order of operations.
5 + (7.8 – 5.5)2 – 9.3 =
(40 ÷ 0.5 x 7) + 5 – 14 =
-8 x – 4 = E X T N S I O
0.99
551
5.23

28. FINALLY
GOOD LUCK in
YOUR TEST