Class 7 Maths - MP

Another Peek Beyond the Point

The chapter 'Another Peek Beyond the Point' in MP Board Class 7 Mathematics helps students dive deeper into the world of decimals. It builds upon previous knowledge of fractions and basic decimals by introducing advanced operations such as multiplication and division of decimal numbers. Students will learn how to shift decimal points, handle powers of 10, and solve real-world word problems involving money, length, and weight. Mastering this chapter is crucial for board exams as it forms the foundational arithmetic required for algebra, data handling, and geometry in higher classes.

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Key Concepts

Multiplication of Decimals

To multiply two decimals, first multiply them as whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.

Division by Powers of 10

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 divisor.

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 decimal point in the dividend by the exact same number of places before dividing.

Important Formulas

Product of Decimals = (Product of whole numbers) with adjusted decimal place
Multiplying by 10/100/1000 = Shift decimal point to the RIGHT by 1/2/3 places
Dividing by 10/100/1000 = Shift decimal point to the LEFT by 1/2/3 places

Board Exam Info

In the MP Board Class 7 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include short-answer multiplication and division problems, unit conversion word problems (like converting centimeters to meters or grams to kilograms using decimals), and objective fill-in-the-blank questions.

Frequently Asked Questions

Which direction do I shift the decimal point when multiplying by 100?

When multiplying by 100, you shift 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 dividend and the divisor by the same power of 10, then perform normal long division.

What should I do if there are not enough digits when shifting a decimal point?

You can add zeros as placeholders to the left or right to make up for the required number of decimal places.

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