Class 7 Maths - ODISHA

Another Peek Beyond the Point

The chapter 'Another Peek Beyond the Point' in Class 7 Mathematics for Odisha Board (BSE) takes students deeper into the world of decimals. Building on earlier concepts, this chapter explores decimal fractions, their place value system, conversion of units, and fundamental operations including multiplication and division of decimals. Students will learn how to multiply and divide decimal numbers by powers of 10 and handle real-life problems involving money, length, and weight. Mastering this chapter is essential for scoring well in BSE Odisha exams, as decimal arithmetic forms the backbone of higher-level mathematical problems and everyday financial calculations.

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Key Concepts

Multiplication of Decimals by Whole Numbers

To multiply a decimal by a whole number, multiply them normally as whole numbers and then place the decimal point in the product to match the number of decimal places in the given decimal.

Multiplication of Decimals by Decimals

Multiply the two decimal numbers ignoring the decimal points, then count the total number of decimal places in both multipliers and place the decimal point in the product from right to left.

Division of Decimals by Powers of 10

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 in the divisor.

Division of a Decimal by a Whole Number

Divide the decimal number by the whole number as you would with whole numbers, placing the decimal point in the quotient directly above the decimal point in the dividend.

Conversion of Units using Decimals

Decimals are widely used to convert smaller units to larger units, such as expressing centimeters to meters or paisa to rupees using fractional parts.

Important Formulas

Product of Decimals = (Product of numbers without decimal points) with decimal placed at (sum of decimal places) from the right
Dividing by 10, 100, 1000: Shift decimal point to the left by 1, 2, or 3 places respectively
Multiplying by 10, 100, 1000: Shift decimal point to the right by 1, 2, or 3 places respectively
Decimal Division: Dividend ÷ Divisor = (Dividend × 10ⁿ) ÷ (Divisor × 10ⁿ) to make the divisor a whole number

Board Exam Info

In the Odisha (BSE) Class 7 Mathematics examinations, this chapter typically carries around 5 to 8 marks. Questions frequently appear as 1-mark objective fill-in-the-blanks, 2-mark short-answer problems involving multiplication and division of decimals, and 3-mark word problems based on everyday measurements and money.

Frequently Asked Questions

How do I know where to place the decimal point when multiplying two decimals?

Count the total number of decimal digits after the point in both numbers you are multiplying. Your final answer must have that same total count of digits to the right of the decimal point.

What should I do if the divisor has a decimal point during division?

Multiply both the dividend and the divisor by 10, 100, or 1000 to shift the decimal point in the divisor to the right until it becomes a whole number, then divide normally.

Which direction do I move the decimal point when dividing by 100?

You move the decimal point two places to the left because 100 has two zeros.

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