{"id":4419,"date":"2020-12-02T06:57:37","date_gmt":"2020-12-02T01:27:37","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=4419"},"modified":"2020-12-02T10:13:15","modified_gmt":"2020-12-02T04:43:15","slug":"decimal-value-place-value-decimals","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/decimal-value-place-value-decimals\/","title":{"rendered":"What is a Decimal Value and Place Value of Decimals"},"content":{"rendered":"

What is a Decimal Value and Place Value of Decimals<\/strong><\/h2>\n

Decimal Fractions<\/strong>
\nIntroduction<\/strong>
\nRiya, Nutan, and Roshan are studying in the same class. In the mathematics examination, marks obtained by Riya and Nutan are 72 and 78 respectively, but the marks obtained by Roshan is 80.5.
\n\"What
\nChildren, do you know the meaning of 80.5 ? It is nothing but \\(80\\frac{1}{2}\\). \\(\\frac{1}{2}\\)\u00a0can also be written as 0.5.
\n0. 5 is the decimal representation of fraction \\(\\frac{1}{2}\\). A decimal number is a number that contains a decimal point.
\nWe know that the place value of a digit increases 10 times as it moves one step towards the left or decreases \\(\\frac{1}{10}\\) times as it moves one step towards the right. Watch the place value of digits in the Table.
\n\"What<\/p>\n

Decimal Fractions<\/strong><\/h3>\n

Let us consider a square divided into ten equal parts, then each part of the square will represent one-tenth \\((\\frac{1}{10})\\) of the whole square. The decimal form of one-tenth is 0.1 read as ‘zero decimal one’ or ‘zero point one’; The fractional form of one tenth is \\((\\frac{1}{10})\\)
\n\"What
\nWhen we divide a square into 100 equal parts, then each part of square represents \\((\\frac{1}{100})\\), which is called
\n\u2018one hundredth\u2019 and can be written in the decimal form as 0.01.
\nNote: The word \u2018DECIMAL\u2019 means \u2018based on 10\u2019. This word is derived from the latin word decima meaning – a tenth part.
\n\"What
\nSimilarly, if we divide a square into 1000 equal parts, then each part will be represented by \\((\\frac{1}{1000})\\) called \u2018one-thousandth\u2019 and written as 0.001 in decimal form.
\nFrom the above, it is clear that
\n\"What
\nHence, fractions with denominators 10,100,1000, etc. are known as decimal fractions or simply decimals. A decimal consists of two parts separated by a decimal point (\u2022)
\n(i) Whole number part
\n(ii) Decimal part.
\nThe digits, which are to the left side of a decimal point are called whole number part and the digits which are to the right side of a decimal point are called decimal part.
\nExample<\/strong>
\n\"What
\nReading of a decimal fraction<\/strong>
\nWhile reading a decimal fraction, the digits on the left of the decimal point are read as whole number and the digits on the right of the decimal point are read as individual digits.
\nExample:<\/strong> 625.314 can be read as six hundred twenty-five point three one four.
\n22.768 = twenty-two point seven six eight.
\nObserve the following:<\/strong>
\n\"What
\nNote:<\/strong>
\nIf there is no whole number part in a decimal number then write 0 on the left of the decimal point.
\nExample: 0.67, 0.132, 0.5, etc
\nWriting decimals in place value chart<\/strong>
\nTable given on the next page shows the value of each place in a decimal fraction.
\nWe can use this place value chart to expand a decimal fraction using decimals or fractions.<\/p>\n

Expanded Form<\/strong><\/h3>\n

This is a form, in which we add the place value of each digit forming the number.
\n\"What
\nDecimal places: The number of digits contained in the decimal part of a decimal fraction gives the number of decimal places.
\n\"What<\/p>\n

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