Class 7 Maths - TAMILNADU
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Mathematics under Tamil Nadu Samacheer Kalvi builds upon the understanding of decimals introduced in earlier classes. Students explore advanced operations involving decimal numbers, including multiplication and division of decimals by powers of 10, whole numbers, and other decimals. It also emphasizes real-life applications such as converting units of measurement (money, length, weight) using decimals. This chapter is essential for building a strong foundation in arithmetic, as decimal calculations frequently appear in higher classes and competitive board exams, making accuracy and understanding place value crucial for scoring high marks.
Start Learning FreeKey Concepts
Multiplication of Decimals by Whole Numbers
Multiply the decimal numbers as whole numbers first, and then place the decimal point in the product to have as many decimal places as the multiplicand.
Multiplication of Decimals by Decimals
Multiply both numbers ignoring the decimal points, then add the total number of decimal places in both factors to place the decimal point in the final product.
Division of Decimals by Powers of 10
When dividing a decimal by 10, 100, or 1000, shift the decimal point to the left by as many places as there are zeros in the power of 10.
Division of a Decimal by a Whole Number
Divide the decimal number by the whole number normally, placing the decimal point in the quotient directly above the decimal point of the dividend.
Division of a Decimal by another Decimal
Convert the divisor into a whole number by shifting the decimal point to the right, and shift the decimal point of the dividend by the same number of places before dividing.
Important Formulas
Board Exam Info
In Tamil Nadu Samacheer Kalvi Class 7 Mathematics exams, this chapter typically carries around 6 to 8 marks. Common question types include 1-mark objective questions on place value and shifting decimal points, 2-mark conversion problems, and 5-mark word problems involving multiplication and division of decimals in real-life contexts like money and measurements.
Frequently Asked Questions
How do I know which way to move the decimal point when multiplying or dividing by 10?
Remember 'RM' - Right for Multiplication and 'Division Left' (DL). When multiplying by powers of 10, move the decimal point to the right. When dividing, move it to the left.
What should I do if there are not enough digits when moving the decimal point?
You can add zeros as placeholders to the left or right of the number as needed to make up the required number of decimal places.
How do I divide a decimal by another decimal?
First, change the divisor into a whole number by multiplying both the divisor and the dividend by the same power of 10 (like 10, 100, or 1000), then perform standard long division.
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