 Reading and Writing Decimals - Orchids The International School
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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, “.”. 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: 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.
• • 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.
• • 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.

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.  • -