NUMBER SYSTEM
DECIMAL NUMBER
GRADE 7
CONTENT
1.Introduction
2.Decimal Number
3.Fractions and Decimals
-Fractions to decimals
-Decimals to fractions
1.Introduction
2.Decimal Number
3.Fractions and Decimals
-Fractions to decimals
-Decimals to fractions
Introduction
Consider the following situation. Ravi has planned to celebrate pongal festival in his native place Kanthapuram. He has purchased dress materials and groceries for the celebration. The details are furnished below.
Consider the following situation. Ravi has planned to celebrate pongal festival in his native place Kanthapuram. He has purchased dress materials and groceries for the celebration. The details are furnished below.
What do you observe in the bills shown above? The prices are usually represented in decimals. But the quantities of length are represented in terms of metre and centimetre and that of weight are represented in terms of kilograms and grams. To express the quantities in terms of higher units, we use the concept of decimals.
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DECIMAL NUMBERDecimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number after 9 is 10. The number after 19 is 20 and so forth.
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Example1 Write the following in the place value grid.(i) 0.37 (ii) 2.73 (iii) 28.271
Solution
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FRACTIONS AND DECIMALSLoading...
CONVERTING FRACTIONS TO DECIMALS.Step 1: Convert the fraction into an equivalent fraction with denominator 10 or 100 or 1000 if it is not so.
Step 2:Take the given fraction's numerator.Then mark the decimal point after one p,ace or two places or three places from right towards left if the given fraction's denominator is 10 or 100 or 1000 respectively.
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CONVERTING DECIMALS TO FRACTIONS
Step 1:Obtain the decimal
Step 2:Remove the decimal points from the given decimal and take as numerator.
Step 3:At the same time write in the denominator ,as many zero or zeros to the right of 1(one) (For example 10,100,or 1000 etc...)as there are number of digits or digits in the decimal part .And then simplify it.
Step 1:Obtain the decimal
Step 2:Remove the decimal points from the given decimal and take as numerator.
Step 3:At the same time write in the denominator ,as many zero or zeros to the right of 1(one) (For example 10,100,or 1000 etc...)as there are number of digits or digits in the decimal part .And then simplify it.
I hope you all understood the concept.Lets sum up with interesting quiz
POINTS TO REMEMBER
1.1/10 (one-tenth) of a unit can be written as 0.1 in decimal notation.
2.The dot represents the decimal point and it comes between ones place and tenths place.
3.In any number, when we move towards right from one digit to the next, the place value of a digit is divided by 10^1.
4.If the denominator of a fraction is any number that can be made as powers of 10 using the concepts of equivalent fractions, then it can also be expressed as decimals.
5. To compare two decimal numbers, we compare the digits from left to right.
1.1/10 (one-tenth) of a unit can be written as 0.1 in decimal notation.
2.The dot represents the decimal point and it comes between ones place and tenths place.
3.In any number, when we move towards right from one digit to the next, the place value of a digit is divided by 10^1.
4.If the denominator of a fraction is any number that can be made as powers of 10 using the concepts of equivalent fractions, then it can also be expressed as decimals.
5. To compare two decimal numbers, we compare the digits from left to right.