This document discusses place value with decimals. It explains that the name of a decimal is determined by the number of places to the right of the decimal point, with examples for tenths, hundredths and thousandths. It also defines mixed decimals as numbers with both whole numbers and decimals. The document provides examples for reading decimals aloud and explains that adding extra zeros after the decimal point does not change the value. It concludes with practice problems for writing decimals, identifying place values, and writing equivalent decimals.

1. PLACE VALUE WITH
DECIMALS
Chapter
1.2

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 128.765, 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 2164.511 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 0.200 are equivalent decimals

6. HERE ARE SOME PRACTICE PROBLEMS
IN WHICH I WILL WORK THROUGH WITH
YOU TO MAKE SURE THAT YOU
UNDERSTAND THE MAIN CONCEPTS
COVERED.
Practice

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

8. Exercise 2
Write each decimal in words.
1. 7884.011
2. 5592.4
3. 4.203
4. 612.250
5. 10.44

9. Exercise 3
In what place (on the place value chart) is the
underlined digit? Write the answer.
1. 1.475
2. 3.763
3. 7780.215
4. 412.407
5. 902.103

10. Exercise 4
Write a decimal that has the same number.
1. 0.2
2. 5.51
3. 410.6
4. 753.809

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