Class 7 Maths - HARYANA
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Mathematics builds upon students' previous understanding of decimals, focusing on advanced operations and real-life applications. Students learn how to multiply and divide decimal numbers by whole numbers and powers of ten, convert between different metric units of measurement using decimals, and solve practical word problems involving money, length, and weight. For BSEH board exams, mastering decimals is crucial as it forms the foundation for data handling, algebra, and commercial mathematics in higher classes, making it a high-scoring area with regular application-based questions.
Start Learning FreeKey Concepts
Multiplication of Decimals
To multiply a decimal by a whole number or another decimal, multiply them as whole numbers first, then place the decimal point in the product by counting total decimal places.
Division of Decimals
To divide a decimal by a 10, 100, or 1000, shift the decimal point to the left by as many places as there are zeros. To divide by a whole number, place the decimal point in the quotient directly above the decimal point in the dividend.
Conversion of Units
Decimals are used to express smaller units in terms of larger units, such as converting centimeters to meters (divide by 100) or grams to kilograms (divide by 1000).
Multiplying by Powers of Ten
When multiplying a decimal by 10, 100, or 1000, the decimal point shifts to the right by 1, 2, or 3 places respectively.
Important Formulas
Board Exam Info
In the Haryana (BSEH) Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include direct calculation of decimal multiplication and division, unit conversion word problems, and simplification of decimal expressions.
Frequently Asked Questions
Which way do I move the decimal point when multiplying by 100?
When multiplying by 100, you move the decimal point two places to the right because 100 has two zeros.
How do I decide where to put the decimal point when multiplying two decimals?
Count the total number of decimal places in both numbers combined, and then place the decimal point in your final answer so it has that same total number of decimal places from the right.
How do I convert grams into kilograms using decimals?
Since 1 kilogram equals 1000 grams, you divide the given weight in grams by 1000, which means moving the decimal point three places to the left.
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