Class 7 Maths - CBSE
Another Peek Beyond the Point
The chapter Another Peek Beyond the Point in Class 7 Mathematics builds upon the fundamental concepts of decimals and rational numbers. Students learn advanced operations involving decimals, such as multiplication and division of decimal numbers by powers of ten, as well as converting units of measurement using decimals. This chapter is crucial for the CBSE Class 7 curriculum as it strengthens computational fluency and lays the groundwork for algebra and data handling. Mastering decimals ensures accuracy in higher-grade mathematics and everyday financial calculations, making it a high-scoring and essential topic for school examinations.
Start Learning FreeKey Concepts
Multiplication of Decimals by Powers of Ten
When multiplying a decimal by 10, 100, or 1000, the decimal point shifts to the right by as many places as there are zeros.
Division of Decimals by Powers of Ten
When dividing a decimal by 10, 100, or 1000, the decimal point shifts to the left by as many places as there are zeros.
Multiplication of Two Decimals
Multiply the numbers as whole numbers ignoring the decimal points, then place the decimal point in the product so that its number of decimal places equals the sum of the decimal places in the multipliers.
Division of a Decimal by a Whole Number
Perform the division as usual with whole numbers, and place the decimal point in the quotient directly above the decimal point in the dividend.
Unit Conversion Using Decimals
Converting smaller units to larger units (like centimeters to meters or grams to kilograms) by using decimal fractions.
Important Formulas
Board Exam Info
In CBSE Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include word problems on measurement conversions, simplifying decimal multiplication and division expressions, and finding the average or total cost using decimal numbers.
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 know where to put the decimal point when multiplying two decimals?
Count the total number of digits after the decimal points in both numbers combined, and make sure your final answer has that same 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 by shifting the decimal point three places to the left.
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