Decimal





Decimal are numbers based on 10 which has a point which separates the number into two parts. It is a method of writing a fractional number without numerator and denominator.

When dealing with these numbers the position of each digit is important.

To know well about this topic, we must first learn about place value.

In the number 718

  • 8 is in the unit's(one's)  place, meaning 8 or 8 "1"s
  • 1 is in the tens' place, meaning 10 or 1 "10"
  • 7 is in the hundreds' place, meaning 700 or 7 "100"s.

As we move left from right, each digit is 10 times bigger than the digit in the right.

If we continue to the right, that is past the units (one's), we will have a digit after the one's place after the point. That digit is 10 times smaller than the one's. So it will be 1/10th (Tenths).

Expanded form representation: Example:

  1. The number 238.7 is known as two hundred thirty eight and seven tenths.
  2. The number 1.9 is known as 1 and 9 tenths.

point or period is a very important part in this number representation.

The following are the digits coming after the point.

tenths hundredths thousandths tenthousandths

Fraction representation.

Example: Represent the following numbers as fractions.

  1. 3.7
  2. 76.95

Solution:

 1.  In fraction the answer is 37/10.     

      In mixed number the answer is 3 and 7/10.

 2.   In fraction the answer is 7695/100.

       In mixed number the answer is 76 and 95/100.

Number line representation:                                 

Practice problems

  1. Represent 98.06 and 700.09 as fractions.
  2. Represent in expanded form; 25.74 and 342.18
  3. Represent 0.56 and 0.75 as fractions
  4. Represent in expanded form of 12.3 and 23.6

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