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Chapter 1.2. Place Value with Decimals. 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. What are mixed decimals?. Mixed decimals are numbers with both whole numbers and decimals
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Chapter 1.2 Place Value with Decimals
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
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
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”
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
Practice Here are some practice problems in which I will work through with you to make sure that you understand the main concepts covered.
Exercise 1 Write the decimals. • Five thousandths • Ninety-four thousandths • Three hundred thirty-six and sixty-nine hundredths
Exercise 2 Write each decimal in words. • 7884.011 • 5592.4 • 4.203 • 612.250 • 10.44
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
Exercise 4 Write a decimal that has the same number. • 0.2 • 5.51 • 410.6 • 753.809
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