Class 7 Maths - WEST-BENGAL

Another Peek Beyond the Point

The chapter 'Another Peek Beyond the Point' in the Class 7 West Bengal Board (WBBSE) mathematics syllabus builds upon decimal numbers and fractional concepts. Students learn advanced operations involving decimals, including multiplication and division of decimals by powers of ten, converting units of measurement using decimals, and solving real-life word problems involving money, length, and weight. This chapter is vital for board exams as it strengthens foundational arithmetic skills necessary for higher-level algebra and geometry in subsequent classes, frequently appearing in both short-answer and problem-solving sections.

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Key Concepts

Multiplication of Decimals by 10, 100, 1000

To multiply a decimal number by 10, 100, or 1000, shift the decimal point to the right by as many places as there are zeros.

Division of Decimals by 10, 100, 1000

To divide a decimal number 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 the decimal number by the whole number just like normal numbers, placing the decimal point in the quotient directly above its position in the dividend.

Division of a Decimal by Another Decimal

Convert the divisor into a whole number by multiplying both the dividend and the divisor by the same power of 10, then proceed with standard division.

Unit Conversion Using Decimals

Express smaller metric units in terms of larger units using decimals, such as converting centimeters to meters or grams to kilograms.

Important Formulas

Multiplying by 10: Shift decimal point 1 place to the right
Multiplying by 100: Shift decimal point 2 places to the right
Dividing by 10: Shift decimal point 1 place to the left
Dividing by 100: Shift decimal point 2 places to the left
1 rupee = 0.01 rupees (or 1 paisa = 1/100 rupee)
1 centimeter = 0.01 meter

Board Exam Info

In the West Bengal Board (WBBSE) Class 7 Mathematics annual examinations, this chapter typically carries around 5 to 8 marks. Questions commonly appear as objective type fills, simplification sums involving decimal multiplication and division, and practical word problems based on money and measurement conversions.

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?

First, remove the decimal from the divisor by multiplying both the divisor and dividend by 10, 100, or 1000, then divide normally.

Why do zeros at the end of a decimal number not change its value?

Adding trailing zeros after the last decimal digit does not change the place value of the significant digits, so 0.5 is equal to 0.50.

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