what is decimal Related: L4 : Tenths - Decimals, CBSE Class 6?
Decimal is a number system that includes a decimal point, which separates the whole number part from the fractional part. It is based on powers of 10 and is used to represent numbers that are not whole or integers. In the CBSE Class 6 mathematics curriculum, the concept of decimals is introduced and students learn about tenths.
Decimal Notation:
Decimals are written using a decimal point, which is represented by a period or a dot. The digits to the right of the decimal point represent fractions of a whole number, starting from tenths, hundredths, thousandths, and so on. For example, the number 3.75 represents three whole units, seven tenths, and five hundredths.
Understanding Tenths:
In the CBSE Class 6 curriculum, students learn about the concept of tenths, which is the first decimal place value. Tenths are represented by a digit to the right of the decimal point. For example, in the number 3.75, the digit 7 represents seven tenths.
Representation on Number Line:
To understand and visualize tenths, students are taught to represent decimals on a number line. The number line is divided into equal parts, with each part representing a tenth. The position of a decimal on the number line helps students understand its value in relation to other decimals and whole numbers.
Converting Fractions to Decimals:
Students also learn to convert fractions to decimals, especially those fractions that have denominators as multiples of 10. For example, to convert the fraction 4/10 to a decimal, students divide 4 by 10, which gives the decimal representation 0.4.
Comparing and Ordering Decimals:
Another important aspect of working with decimals is comparing and ordering them. Students learn to compare decimals based on their digit values, starting from the leftmost digit. They also learn to use the symbols > (greater than) and < (less="" than)="" to="" compare="" />
Operations with Decimals:
In Class 6, students are introduced to basic operations like addition, subtraction, multiplication, and division involving decimals. These operations are carried out by aligning the decimal points and performing the operation as they would with whole numbers. The result is also a decimal.
Example Problems:
To reinforce the understanding of tenths and decimals, students are given various practice problems and exercises. These problems involve identifying the decimal representation of a given fraction, comparing decimals, ordering decimals, and performing operations like addition, subtraction, multiplication, and division.
Overall, the concept of decimals, specifically tenths, is an important foundation in mathematics. Understanding decimals helps students perform accurate calculations, solve problems involving fractions and money, and develop a deeper understanding of number systems.
what is decimal Related: L4 : Tenths - Decimals, CBSE Class 6?
The number we use in our daily life are called decimal number because they are based on 10 digit 0 to 10 . decimal number is often used to means a number that uses a decimal point followed by a digit that show a value smaller than one example 45.6 is decimal number.
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