Place Value with Decimals

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Chapter 1.2

• Place Value with Decimals

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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
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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

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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

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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

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Practice

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

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Exercise 1

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

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Exercise 2

• Write each decimal in words.
• 7884.011
• 5592.4
• 4.203
• 612.250
• 10.44

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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

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Exercise 4

• Write a decimal that has the same number.
• 0.2
• 5.51
• 410.6
• 753.809

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