Class 7 Maths - RAJASTHAN
A Peek Beyond the Point
In the chapter 'A Peek Beyond the Point', Class 7 students of the Rajasthan Board explore the fascinating world of decimals beyond the decimal point. This chapter builds upon your earlier knowledge of fractions and place value, helping you understand tenths, hundredths, and thousandths. You will learn how to read, write, compare, and perform fundamental arithmetic operations like addition and subtraction on decimal numbers. Additionally, this chapter is crucial for real-life applications involving money, length, and weight conversions. Mastering decimals is vital for scoring well in your board exams, as it forms the base for higher-level mathematics.
Start Learning FreeKey Concepts
Tenths
When a whole is divided into 10 equal parts, each part is called one-tenth, written as 1/10 or 0.1 in decimal form.
Hundredths
When a whole is divided into 100 equal parts, each part is called one-hundredth, written as 1/100 or 0.01 in decimal form.
Place Value of Decimals
The place value of digits goes as Ones, Tenths (1/10), Hundredths (1/100), and Thousandths (1/1000) as we move from left to right past the decimal point.
Comparing Decimals
To compare two decimals, first compare the whole number part. If they are equal, compare the tenths digit, then hundredths, and so on from left to right.
Conversion of Units
Decimals are used to convert smaller units to larger units, such as converting paise to rupees (100 paise = 1 rupee) or centimeters to meters (100 cm = 1 m).
Important Formulas
Board Exam Info
In the Rajasthan Board Class 7 Mathematics examination, this chapter typically carries around 4 to 6 marks. Common question types include converting units (like cm to m or paise to rupees), comparing decimal numbers, arranging decimals in ascending or descending order, and word problems based on addition and subtraction of decimals.
Frequently Asked Questions
How do we know which decimal number is greater?
First look at the whole number part to the left of the decimal point. If they are the same, compare the digit in the tenths place, then the hundredths place, moving from left to right until you find a difference.
Why do we add extra zeros to decimals?
Adding zeros to the extreme right of a decimal number (like writing 0.5 as 0.50) does not change its value. It is helpful when we want to make the number of decimal places equal for addition or comparison.
How do I convert paise into rupees using decimals?
Since 1 rupee has 100 paise, you divide the given amount in paise by 100 and place the decimal point two digits from the right. For example, 50 paise becomes 50/100 = 0.50 rupees.
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