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Understanding Decimal Place Value and Reading Decimals

This chapter explores decimal place value, explaining how to identify types of decimals based on their position relative to the decimal point. It covers mixed decimals, whole numbers, and the significance of digits on either side of the decimal point. Additionally, it illustrates how to read decimals correctly and clarifies that extra zeros after the decimal point do not alter the decimal's value. The chapter includes practical exercises to reinforce understanding of these concepts, helping students read, write, and categorize decimals effectively.

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Understanding Decimal Place Value and Reading Decimals

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  1. Chapter 1.2 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

  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. Practice Here are some practice problems in which I will work through with you to make sure that you understand the main concepts covered.

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

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

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

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

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