Class 7 Maths - HARYANA

A Peek Beyond the Point

The chapter 'A Peek Beyond the Point' in Class 7 Mathematics helps students explore decimals further, focusing on advanced operations and real-life applications. Building upon previous knowledge of fractions and place value, this chapter is crucial for mastering decimal multiplication and division. For Haryana (BSEH) board exams, understanding these concepts is essential as word problems involving money, length, and weight frequently appear in the question paper, testing both calculation skills and practical application.

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Key Concepts

Multiplication of Decimals

To multiply two decimals, first multiply them as whole numbers and then place the decimal point in the product by counting the total number of decimal places from the right.

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.

Division of a Decimal by a Whole Number

Divide normally as with whole numbers, 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 shifting the decimal point to the right, and shift the dividend's decimal point by the same number of places before dividing.

Important Formulas

Decimal multiplied by 10 = shift decimal point 1 place to the right
Decimal divided by 10 = shift decimal point 1 place to the left
Product of Decimals = Ignore decimals, multiply normally, then count total decimal places from right
Divisor Decimal Adjustment = Multiply dividend and divisor by the same power of 10 to make divisor a whole number

Board Exam Info

In the Haryana (BSEH) Class 7 Mathematics examination, this chapter typically carries around 4 to 6 marks. Common question types include direct calculation of decimal multiplication/division and word problems based on measurement units like rupees and paise, or centimeters and meters.

Frequently Asked Questions

How do I know which way to move the decimal point during multiplication?

When multiplying by powers of 10, move the decimal point to the right. When multiplying two general decimals, count the total decimal places in both numbers and place the decimal that many spaces from the right in your final answer.

What should I do if the divisor is a decimal?

Always convert the divisor into a whole number by moving the decimal point to the right. Remember to move the decimal point in the dividend by the exact same number of places!

Are decimal word problems important for the exam?

Yes, word problems involving money, length, and weight are very common in BSEH exams and usually carry 2 or 3 marks.

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