RS Aggarwal Solutions Class 7 Chapter-5 Exponents (Ex 5C) Exercise 5.3 - Free PDF
FAQs on RS Aggarwal Solutions Class 7 Chapter-5 Exponents (Ex 5C) Exercise 5.3
1. Define an exponent, and what is the general form of an exponent mentioned in class 7 chapter 5 of RS Aggarwal?
Very large numbers are difficult to express, especially when they have to be written multiple times. Here, exponents or powers play an important role. They can simplify the expression. For example, if you want to write 2×2×2×2, then you can simply write 24 where 2 is the base and 4 is the exponent. The general form of an expression can be written as
an = a×a×a×.......×a (a is multiplied by itself for n number of times)
Here, an is called the nth power of a, a is the base, and n is the exponent. The entire expression means that a is multiplied n times.
2. What are the different laws of exponents as mentioned in class 7 chapter 5 of RS Aggarwal?
According to the law of multiplication of exponents, the product of two powers with the same base is the sum of two exponents raised to the base. According to the division law of exponents, when the two exponents have different powers and the same bases are divided, the result is the subtraction of the powers keeping the base common. According to the negative exponent law, when the power of an exponent is negative then the result is reciprocal of the base raised to the positive power. Very large numbers are difficult to express especially when they have to be written multiple times. Here, exponents or powers play an important role. They can simplify the expression.
3. What are the applications of exponents?
Large numbers are difficult to express especially when they have to be written multiple times. Here, exponents or powers play an important role. They can simplify the expression. Exponents can be used to express huge numbers like the distance between celestial bodies. For example, the distance between the sun and the earth is expressed as 1.496108 the age of non -living bodies like rocks, metallic objects are expressed with the help of exponents in the power of 10. Masses of heavy objects are expressed with the help of exponents, which makes the notation simple and reduces the chance of error.
4. What happens when the exponent is 0 or 1?
When a digit is expressed to the power of 0, the result is 1, and when a digit is expressed to the power of 1, then the result is the same number. For example, a to the power of 1 is always a. Similarly, a to the power of zero is always 1. Students should memorise the basic laws to solve the problems with ease. To avoid confusion, solve as many model problems as possible.