Class 7 Maths - UP
Another Peek Beyond the Point
The chapter 'Another Peek Beyond the Point' for Class 7 UP Board students builds upon the fundamental concepts of decimals learned in earlier grades. It delves deeper into operations involving decimal numbers, including multiplication and division of decimals by powers of ten, whole numbers, and other decimals. Students also learn how to convert between different units of measurement using decimals, such as money, length, weight, and capacity. Mastering this chapter is essential for UP Board exams as it forms the base for advanced arithmetic, algebra, and everyday problem-solving, typically contributing multiple short and long-answer questions.
Start Learning FreeKey Concepts
Multiplication of Decimals by Powers of 10
To multiply a decimal number by 10, 100, 1000, etc., shift the decimal point to the right by as many places as there are zeros.
Division of Decimals by Powers of 10
To divide a decimal number by 10, 100, 1000, etc., shift the decimal point to the left by as many places as there are zeros.
Multiplication of a Decimal by a Whole Number
Multiply the numbers ignoring the decimal point, and then place the decimal point in the product to have as many decimal places as the multiplier.
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.
Application of Decimals in Measurement
Using decimals to express standard units of measurement, such as converting centimeters to meters or grams to kilograms.
Important Formulas
Board Exam Info
In the UP Board Class 7 Mathematics examination, this chapter typically carries around 4 to 6 marks. Common question types include word problems based on money and measurements, direct multiplication and division of decimals, and unit 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 number by another decimal number?
First, make the divisor a whole number by multiplying both the dividend and the divisor by the same power of 10, then perform normal division.
Why is the decimal point important in word problems?
The decimal point separates the whole units from the fractional parts (like rupees and paise), and placing it incorrectly changes the entire value of the answer.
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