Reading and Writing Decimals - Orchids The International School
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Decimals

Reading and Writing Decimals

  • Fraction is used to express a part of a whole thing.
  • A decimal is another representation of a fraction where a whole number part and the fractional part are written together.
  • A whole number and the fractional part are separated by the dot known as a decimal point, “.”.
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Understanding decimals from fraction

  • A fraction where the denominator (lower part) is in the power of 10, i.e., 10, 100, 1000, etc. is called a decimal fraction.
  • A decimal fraction can be written using the decimal point (that is without the denominator).
  • We know that the fraction 5/The denominator of the fraction
    5 / 10
    has 1 zero. Therefore, in decimal representation, after a decimal point, there will be one digit.10 means “5 out of 10 parts”.
  • In decimal fraction it can be written as 0.5.

Example:

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Place Value

  • The place value of the digit is the actual position value of the digit.
  • The place value of the decimals is found using the place value chart.
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  • The number to the left of the decimal point represents the whole number.
  • The number to the right of the decimal point represents the fractional part.
  • As we go to the left of the decimal chart the place value of the number is 10 times greater than the previous place value.

Example:

Find the place value of every digit in the number 23.46.

Solution:

  • The number 2 is in the tens place. Therefore, the place value of 2 is 2 × 10 = 20.
  • The number 3 is in the one place. Therefore, the place value of 3 is 3 × 1 = 3.
  • The number 4 is in tenth place. Therefore, the place value of 4 is
    4 / 10
    or 0.4.
  • The number 6 is in the hundredth place. Therefore, the place value of 6 is
    6 / 100
    or 0.06.

Expanded Form

An expanded form of the decimal is the sum of the place value of each digit in the number.

Example 1:

Expand the number 345.167

Solution:

The expanded form of 345.167 is:

300 + 40 + 5 +
1 / 10
+
6 / 100
+
7 / 1000
.

Example 2:

Write in decimal notation 500 + 30 + 2 +
2 / 10
+
5 / 100
+
6 / 1000
.

Solution:

The decimal representation is 532.256.

Equivalent Decimals

  • Two decimals are said to be equivalent decimal if it has the same value.
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  • The decimals 0.6 and 0.60 are equivalent decimals as it has the same value.
  • By adding zeros on the right of the decimal numbers we get an equivalent decimal.

Reading Decimals

Steps to write the decimals in words:

  • Start reading the numbers from the left of the decimal place as a whole number.
  • Read point for the decimal point.
  • Read the digits to the right of the decimal point as a single whole number.
  • Example :

    Decimals in figure Decimals in words
    0.216 Zero point two one six
    61.724 Sixty-one point seven two four
    123.6542 One hundred twenty-three point six five four two

Alternate way

The alternate way of naming the decimals is with the use of the decimals place value chart.

  • Read the number to the left of the decimals point as a whole number.
  • Read and for the decimal point.
  • Observe the position of the last digit and name accordingly.
  • Decimals in figure Decimals in words
    0.216 Two hundred and sixteen thousandths.
    61.72 Sixty-one and seven two hundredths.
    123.6 One hundred twenty-three and six tenths.
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