1. Place Value with Decimals

2. How do I know what kind of decimal it is?
The name of a decimal is determined by the number of places to the right of the decimal point
Number of Places
Decimal Name
Example 1
tenths
0.7 2
hundredths
0.05 3
thousandths
0.016

3. What are mixed decimals?
Mixed decimals are numbers with both whole numbers and decimals
The name of a whole number is determined by the number of places to the left of the decimal point
In the number , 1 is in the hundreds place, 2 is in the tens place, 8 is in the ones place, 7 is in the tenths place, 6 is in the hundredths place, and 5 is in the thousandths place

4. How do you read decimals?
To read a decimal correctly, first find the decimal point
Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction
Say “and” for the decimal point
The decimal is read as “two thousand, one hundred sixty-four and five hundred eleven thousandths”

5. Zeros after the decimal point
Writing extra zeros after the decimal point does not change the value!
The decimals 0.2, 0.20, and are equivalent decimals

6. Exercise 1 Write the decimals. Five thousandths
Ninety-four thousandths
Three hundred thirty-six and sixty-nine hundredths

7. Exercise 2 Write each decimal in words. 7884.011 5592.4 4.203 612.250
10.44

8. Exercise 3
In what place (on the place value chart) is the underlined digit? Write the answer.
1.475
3.763

9. Rounding Decimal Numbers

10. The rounding poem Find your number Look right next door
4 or less, just ignore
5 or more add one more!

11. What about decimal numbers
The same rules (and poem) apply!
Round to the closest hundredths
4.167
Find your number
Look right next door
4.17

12. Remember
If you are asked to round to the nearest tenth…….your answer stops at the tenth place!
Example: Round to the closest tenth would be 42.7

13. Special Case! Rounding a 9
Round to the closes hundredths
Since there is a “9” in the hundredths place consider the tenth and hundredths together – 19 – do you leave it at 19 or move it to 20?
2.20 which is the same as 2.2

14. Round 4.95 to the closest tenth
Since there is a “9” in the tenth spot consider the ones and tenths together…… should you leave it at 49 or move it to 50?
4.95 rounded to the nearest tenth is 5.0 which is equal to 5.

15. Try these 4.56 4.6 5.32 5.3 0.98 1.0 Round to hundredths
Round to tenths:
4.56
4.6
18.784
18.78
5.32
5.3
9.46
9.456
10.00
0.98
1.0
9.997

16. Operations on Decimal Numbers

17. What You Will Learn: To add and subtract decimal numbers
To multiply decimal numbers
To use estimation to check your answers

18. Adding and Subtracting Decimals
Before actually performing addition and subtraction of decimal values, we need to work on estimating
Estimation provides us with a ‘ballpark’ figure so we can check our answer

19. Adding and Subtracting Decimals
We use column addition and subtraction to add and subtract decimals
The reason for this is so that we can align the decimal places

20. Ex: Add the following c)

21. Ex: Subtract the following
8.57 – 3.12
4.07 – 2.64
10.3 – 7.06

22. Problem Solving
Leslie has $ She purchases some gum for $1.29 and an iced tea for $ How much money does Leslie have left?
5.50 – 1.29 – 1.79 = ?

23. Multiplying Decimals
When multiplying decimals, estimation can again be used to check our answer
Ex: Chris finds 5 books at a cost of $1.65 each. He has $9.00 in change. Can he afford to buy these books?

24. Multiplying Decimals
The process of multiplying decimals is no different from multiplying any other two numbers
The number of decimal places in the final answer is equal to the number of decimal places that you start with.

25. Ex: Multiply the following
1.5 × 3
7.5 × 1.2
3.6 × 4.0

26. Problem Solving:
Karl is preparing apple pies for a family reunion. He will need 5 pounds of apples to make the pies. Apples cost $1.29 / lb. What will the total cost of the apples be?
5(1.29) =

27. Examples:
5.3 × x