Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Important Formulas: Number System
Important Formulas: Number System | Mathematics (Maths) Class 9 PDF Download
Law of Exponents
1. ap.aq = ap+q
2. ap/aq = ap-q
3. (ap)q = apq
4. ap.bp = abp
5. a-p = 1/ap
6. a0 = 1
7. a1 = a
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FAQs on Important Formulas: Number System - Mathematics (Maths) Class 9
| 1. What are the important formulas in the number system for Class 9? |  |
Ans. The important formulas in the number system for Class 9 include:
- Place value formula: The value of a digit in a number is determined by its position or place value. For example, in the number 352, the place value of 5 is 50.
- Addition formula: The sum of two numbers is obtained by adding the digits at each place value. For example, 35 + 17 = 52.
- Subtraction formula: The difference between two numbers is obtained by subtracting the digits at each place value. For example, 45 - 23 = 22.
- Multiplication formula: The product of two numbers is obtained by multiplying the digits at each place value. For example, 23 x 4 = 92.
- Division formula: The quotient of two numbers is obtained by dividing the digits at each place value. For example, 56 ÷ 8 = 7.
| 2. How do I calculate the place value of a digit in a number? | |
Ans. To calculate the place value of a digit in a number, you need to identify its position. The place value of a digit depends on its position from the right-hand side, starting with the units place as the first position. Each subsequent position is ten times the value of the previous position. For example, in the number 352, the place value of 5 is 50 because it is in the tens place (10 x 5 = 50).
| 3. What is the formula for addition in the number system? | |
Ans. The formula for addition in the number system is to add the digits at each place value. Start from the rightmost position and add the digits vertically. If the sum at any position is greater than 9, carry over the tens place to the next position. For example, to add 35 and 17:
35
+17
------
52
So, 35 + 17 = 52.
| 4. How do I calculate the product of two numbers in the number system? | |
Ans. To calculate the product of two numbers in the number system, you need to multiply the digits at each place value. Start from the rightmost position and multiply the digits vertically. If the product at any position is greater than 9, carry over the tens place to the next position. For example, to multiply 23 and 4:
23
x 4
------
92
So, 23 x 4 = 92.
| 5. What is the formula for division in the number system? | |
Ans. The formula for division in the number system is to divide the digits at each place value. Start from the leftmost position and divide the digits vertically. If the quotient at any position is greater than 9, carry over the tens place to the next position. For example, to divide 56 by 8:
7
------
8 ) 56
So, 56 ÷ 8 = 7.
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