Place Value in Decimals

Place Value in Decimals

Understanding Place Value

• In decimals, each digit has a place value that determines its value.
• Place value is based on the position of the digit in the decimal number.

Place Value Positions

• The digits to the left of the decimal point have place values of:
  • Units (or Ones)
  • Tens
  • Hundreds
  • Thousands
• The digits to the right of the decimal point have place values of:
  • Tenths
  • Hundredths
  • Thousandths
  • Ten-thousandths

Examples of Place Value in Decimals

• In the decimal number 34.56:
  • The digit 3 is in the Tens place (30)
  • The digit 4 is in the Units place (4)
  • The digit 5 is in the Tenths place (0.5)
  • The digit 6 is in the Hundredths place (0.06)
• In the decimal number 2.345:
  • The digit 2 is in the Units place (2)
  • The digit 3 is in the Tenths place (0.3)
  • The digit 4 is in the Hundredths place (0.04)
  • The digit 5 is in the Thousandths place (0.005)

Place Value in Decimals

Understanding Place Value

• Each digit in a decimal number has a place value that determines its value.
• Place value depends on the digit's position in the decimal number.

Place Value Positions

• Digits to the left of the decimal point have place values of:
  • Units (or Ones)
  • Tens
  • Hundreds
  • Thousands
• Digits to the right of the decimal point have place values of:
  • Tenths
  • Hundredths
  • Thousandths
  • Ten-thousandths

Examples of Place Value in Decimals

• In the decimal number 34.56:
  • Digit 3 is in the Tens place, representing 30.
  • Digit 4 is in the Units place, representing 4.
  • Digit 5 is in the Tenths place, representing 0.5.
  • Digit 6 is in the Hundredths place, representing 0.06.
• In the decimal number 2.345:
  • Digit 2 is in the Units place, representing 2.
  • Digit 3 is in the Tenths place, representing 0.3.
  • Digit 4 is in the Hundredths place, representing 0.04.
  • Digit 5 is in the Thousandths place, representing 0.005.