Class 7 Maths - MAHARASHTRA
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Mathematics builds upon the understanding of decimals introduced in earlier grades. Students explore advanced operations with decimal fractions, including multiplication and division of decimals by powers of ten, whole numbers, and other decimals. The chapter also covers the conversion of units involving money, length, weight, and capacity using decimal notation. Mastering this chapter is crucial for board exams as it forms the foundational arithmetic required for percentages, ratios, and data handling in higher classes, frequently appearing in both objective and word problems.
Start Learning FreeKey Concepts
Multiplication of Decimals
To multiply two decimals, first multiply them as whole numbers, then place the decimal point in the product by counting total decimal places from both factors.
Division by Powers of Ten
When dividing a decimal number 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 just like a whole number, 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 proceed with normal division.
Unit Conversion using Decimals
Expressing smaller units in terms of larger units using decimals, such as converting centimeters to meters (1 cm = 0.01 m).
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include direct calculation of decimal products and quotients, word problems based on everyday measurements like money and length, and unit conversions.
Frequently Asked Questions
Where do I place the decimal point when multiplying two decimals?
Count the total number of decimal places in both numbers combined. Start from the right of your final multiplied product and move that many places to the left to place the decimal point.
How do I divide a decimal by another decimal?
Shift the decimal point of the divisor to the right until it becomes a whole number. Shift the decimal point of the dividend to the right by the exact same number of places, then divide normally.
Which direction does the decimal point move during division by powers of ten?
The decimal point always moves to the left when dividing by 10, 100, or 1000.
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