Class 7 Maths - RAJASTHAN
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Rajasthan Board Mathematics builds upon foundational decimal concepts introduced in earlier grades. Students delve deeper into operations with decimal numbers, including multiplication and division of decimals by powers of ten, whole numbers, and other decimals. The chapter also explores the practical application of decimals in everyday measurements of length, weight, and money. Mastering this chapter is crucial for board exams as it forms the basis for advanced arithmetic, algebra, and data interpretation, frequently appearing in both objective and short-answer exam questions.
Start Learning FreeKey Concepts
Multiplication of Decimals by Whole Numbers
To multiply a decimal by a whole number, multiply them as regular whole numbers first, then place the decimal point in the product to have as many decimal places as the multiplier.
Multiplication by Powers of Ten
When multiplying a decimal number by 10, 100, or 1000, the decimal point shifts to the right by as many places as there are zeros in the power of ten.
Division of Decimals by Whole Numbers
Divide the decimal number by the whole number as you would with whole numbers, placing the decimal point in the quotient directly above the decimal point in the dividend.
Division by Powers of Ten
When dividing a decimal number by 10, 100, or 1000, the decimal point shifts to the left by as many places as there are zeros in the power of ten.
Conversion of Units using Decimals
Decimals are used to convert smaller units to larger units, such as centimeters to meters (1 cm = 0.01 m) or grams to kilograms (1 g = 0.001 kg).
Important Formulas
Board Exam Info
In the Rajasthan Board Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include simplifying decimal multiplication and division expressions, word problems based on money and measurement conversions, and shifting decimal points for powers of ten.
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 by another decimal?
Multiply both the divisor and the dividend by the same power of 10 to make the divisor a whole number, then perform standard division.
Why are zeros added at the end of a decimal number during division?
Zeros can be added to the right of the last digit in the decimal part without changing its value, helping to continue division until the remainder becomes zero.
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