Class 7 Maths - TELANGANA
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Telangana (TSBSE) Mathematics builds upon your foundational knowledge of decimals. It explores advanced operations with decimal numbers, including multiplication and division of decimals by whole numbers and other decimals. You will learn how to shift decimal points correctly, handle trailing zeros, and solve real-life word problems involving money, length, and weight expressed in decimals. Mastering this chapter is essential as it strengthens your arithmetic skills, improves calculation accuracy, and prepares you for higher-level algebra and proportional reasoning in upcoming board exams.
Start Learning FreeKey Concepts
Multiplication of Decimals by Powers of 10
To multiply a decimal number by 10, 100, or 1000, move the decimal point to the right by as many places as there are zeros.
Multiplication of Two Decimals
Multiply the numbers as whole numbers first, then count the total number of decimal places in both factors and place the decimal point in the product accordingly.
Division of Decimals by Powers of 10
To divide a decimal by 10, 100, or 1000, move the decimal point to the left by as many places as there are zeros.
Division of a Decimal by a Whole Number
Divide the decimal number as you would divide whole numbers, placing the decimal point in the quotient directly above the decimal point in the dividend.
Division of a Decimal by Another Decimal
Convert the divisor into a whole number by multiplying both the dividend and divisor by the same power of 10, then perform the standard division.
Important Formulas
Board Exam Info
In the Telangana (TSBSE) Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Questions usually appear as short-answer calculation problems involving decimal multiplication and division, as well as 2-mark word problems based on measurement units and currency.
Frequently Asked Questions
Which direction do I move the decimal point when multiplying by 100?
You move the decimal point two places to the right because 100 has two zeros.
How do I divide a decimal number by another decimal number?
First, shift the decimal point of the divisor to the right to make it a whole number, and shift the decimal point of the dividend by the exact same number of places before dividing.
What should I do if there are not enough digits when moving the decimal point?
You can add necessary zeros as placeholders to the left or right to complete the required number of decimal places.
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