Class 7 Maths - BIHAR
A Peek Beyond the Point
The chapter 'A Peek Beyond the Point' in Bihar Board Class 7 Mathematics introduces students to decimals and their advanced applications beyond simple place value. Students learn how to read, write, compare, and perform fundamental arithmetic operations like addition, subtraction, multiplication, and division on decimal numbers. The chapter also connects decimals to everyday measurements of money, length, weight, and capacity. Mastering this chapter is crucial for Class 7 board exams as it forms the foundational building block for algebra, ratios, and higher-level arithmetic, frequently appearing in both objective and short-answer exam questions.
Start Learning FreeKey Concepts
Decimal Place Value
The position of a digit to the right of the decimal point represents tenths (1/10), hundredths (1/100), and thousandths (1/1000).
Like and Unlike Decimals
Decimals having the same number of decimal places are called like decimals, while those with different decimal places are unlike decimals.
Converting Units Using Decimals
Decimals are used to convert smaller units to larger units, such as expressing paise as rupees (100 paise = ₹1) or centimeters as meters.
Multiplication of Decimals
To multiply decimals, first multiply them as whole numbers and then place the decimal point in the product by counting the total decimal places.
Division by Powers of 10
Dividing a decimal number by 10, 100, or 1000 shifts the decimal point to the left by as many places as there are zeros.
Important Formulas
Board Exam Info
In the Bihar Board Class 7 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Questions usually include converting units, comparing decimal numbers, and solving word problems based on addition, subtraction, or multiplication of decimals.
Frequently Asked Questions
How do we compare two decimal numbers?
First compare the whole number parts. If they are equal, compare the tenths digit, then the hundredths digit, and so on from left to right.
Why do we add zeros to unlike decimals?
Adding trailing zeros to the rightmost part of a decimal does not change its value, but it makes addition and subtraction easier by converting unlike decimals into like decimals.
Which way does the decimal point move when multiplying by 10?
When multiplying a decimal number by 10, the decimal point moves one place to the right.
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