Class 7 Maths - KERALA
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' in Class 7 Mathematics of Kerala SCERT syllabus builds upon students' prior knowledge of decimals and introduces more advanced operations and applications. It helps students understand how to multiply and divide decimal numbers, work with fractions and decimals interchangeably, and solve real-world problems involving measurements and money. Mastering this chapter is crucial for board exams and higher-level mathematics, as decimals appear frequently in science, data handling, and commercial math. Students learn systematic methods to handle decimal points accurately, preventing common calculation errors in examinations.
Start Learning FreeKey Concepts
Multiplication of Decimals
To multiply two decimals, first multiply them as whole numbers, then place the decimal point in the product so that the number of decimal places equals the sum of the decimal places in the multipliers.
Division of Decimals by Whole Numbers
Divide the decimal number as a normal whole number, 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 same number of places before dividing.
Converting Fractions to Decimals and Vice Versa
Fractions with denominators as powers of 10 can be directly written as decimals, and any decimal can be expressed as a fraction by using powers of 10 in the denominator.
Important Formulas
Board Exam Info
In Kerala (SCERT) Class 7 examinations, this chapter typically carries around 6 to 8 marks. Questions usually include word problems involving money and measurement, simplification of decimal expressions, and direct multiplication or division of decimals.
Frequently Asked Questions
Where do I put the decimal point when multiplying decimals?
Count the total number of decimal places in both numbers you are multiplying, and put the decimal point in your answer so it has that same total number of decimal places, counting from the right.
How do I divide a number by a decimal?
Shift the decimal point of the divisor to the right until it becomes a whole number, and shift the decimal point of the dividend to the right by the exact same number of places before performing normal division.
Can zeros at the end of a decimal be removed?
Yes, trailing zeros at the very end of the decimal part (to the right of the last non-zero digit) do not change the value of the number, so 0.50 is the same as 0.5.
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