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Representation of Decimals

This topic covers the different ways to express a decimal. Decimals can be expressed in word, standard, and expanded form.

Topic: Decimal in Word and Expanded Form

  • The Place value of a digit in a decimal is determined by its position with respect to the decimal point.  e.g. In 7.6, digit 7 has a place value of 1 or ones since it is one decimal place before the decimal point

  • Remember that in word form 'and' stands for the decimal point

  • Word form can be obtained from the standard and expanded form with the help of a place value chart.

  • The expanded form can be obtained from standard form by determining the place values of each digit.  e.g.: In 3.5, the place values of 3 and 5 are 1 and 0.1; Expanded form = (3 x 1) + (5 x 0.1).

Topic: Decimal in Word and Standard Form

  • The Place value of a digit in a decimal is determined by its position with respect to the decimal point.  e.g.: In 7.6, digit 7 has a place value of 1 or ones since it is one decimal place before the decimal point

  • Remember that in word form 'and' stands for the decimal point

  • Word form can be obtained from the standard and expanded form with the help of place value chart

  • The Standard form of a decimal is obtained by multiplying each digit by its place value.  e.g.: In (4 x 10) + (5 x 1) + (6  x 0.1) + (8 x 0.01) , the digits 4, 5, 6, 8 have place values 10, 1, 0.1, 0.01; Standard form = 40 + 6 +0.6 +0.08 = 45.68.

Topic: Decimal in Expanded and Standard Form

  • The Place value of a digit in a decimal is determined by its position with respect to the decimal point.

  • Remember that in word form, 'and' stands for the decimal point

  • The expanded form can be obtained from standard form by determining the place values of each digit.  In 3.5, the place values of 3 and 5 are 1 and 0.1; Expanded form = (3 x 1) + (5 x 0.1)

  • The Standard form of a decimal is obtained by multiplying each digit by its place value.In (4 x 10) + (5 x 1) + (6  x 0.1) + (8 x 0.01) , the digits 4, 5, 6, 8 have place values 10, 1, 0.1, 0.01.  Standard form = 40 + 6 +0.6 +0.08 = 45.68

Topic: Locate Decimal on Number Line

  • The distance between consecutive whole numbers is 1 unit. The distance between consecutive whole numbers has been divided into ten equal parts

  • The length of each equal part = Total distance / Number of equal parts = 1/10 = 0.1 units

  • For example, 1.4 is located after 4 equal parts to the right of 1
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