JEE Main Important Physics formulas
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The mathematical tables that students use as a base for their multiplication skills. Since kindergarten, we have learned the multiplication table. You can swiftly resolve multiplication issues by utilising these math tables. Children begin learning multiplication after learning addition and subtraction. Multiplication tables are one of the most important lessons children learn at this stage.
Calculating the sum of two or more numbers requires the use of the multiplication concept in mathematics. This is one of the fundamental mathematical procedures that we use frequently. Numerous situations call for the use of the fundamental mathematical operation of multiplication. The multiplication of 9 will be discussed in this article, along with some interesting facts and techniques that can be used to expedite and streamline the multiplication process.
The nine times table, or table of nine, is a multiplication table that yields the sum of nine and the ordinal natural numbers. How often the number 9 has been added to itself is displayed in the 9 times table. As an illustration, adding 9 twice is the same as multiplying it by two.
For students to successfully complete difficult multiplication problems, they must master the nine times table. Students will become better problem solvers by learning multiplication facts.
The 9 times table displays every outcome of adding 9 repeatedly because adding produces multiplication. Without this foundational understanding, it would be much harder to comprehend and process the subsequent stages of mathematics, so learning the table of nines is essential. A fun fact about the 9 times table is that you can get the next multiple of 9 by increasing the tens digit and decreasing the first digit at each step. The largest single-digit composite number and the only number that is a perfect square are nine. The table of nine must be mastered by students in order to perform quick calculations.
The repeated addition of 9 can be used to describe the table of 9. For instance, a basket contains 9 balls in 6 different colours. The multiplication table can be used to determine the total number of balls in the basket in this scenario.
There are nine balls in each colour, so to speak.
As a result, there are 54 balls overall (9 x 6).
You can also write this as 9 + 9 + 9 + 9+9+9 = 54.
As a result, we can obtain all the multiples of 9 as previously described.
9 Times Table up to 10 |
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9 X 1 = 9 9
9 X 2 = 18 9 + 9 = 18
9 X 3 = 27 9 + 9 + 9 = 27
9 X 4 = 36 9 + 9 + 9 + 9 = 36
9 X 5 = 45 9 + 9 + 9 + 9 + 9 = 45
9 X 6 = 54 9 + 9 + 9 + 9 + 9 + 9 = 54
9 X 7 = 63 9 + 9 + 9 + 9 + 9 + 9 + 9 = 63
9 X 8 = 72 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 72
9 X 9 = 81 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81
9 X 10 = 90 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9+ 9 + 9 = 90
Tip 1:
09, 18, 27, 36, 45, 54, 63, 72, 81, and 90 are the first 10 multiples of 9.
The digits in this example are increasing from 0 to 9 in the tens place while decreasing from 9 to 0 in the unit place.
Tip 2:
The results of the 9 times table from 1 to 10—the first 10 multiples of 9—can also be written as:
0 + 9 = 9
1 + 8 = 9
2 + 7 = 9
3 + 6 = 9
4 + 5 = 9
5 + 4 = 9
6 + 3 = 9
7 + 2 = 9
8 + 1 = 9
9 + 0 = 9
Example 1: Evaluate 9 times 11 minus 9 times 5.
Solution: 9 times 11 minus 9 times 5 = 9 × 11 – 9 × 5
= 99 – 45
= 54
Example 2: How many times 9 is equal to 144?
Solution: p × 9 = 144
p = 144/9
p = 16
Therefore, 16 times 9 is equal to 144.
Example 3: Nitara buys nine packets, each containing 16 pencils. Find the total number of pencils she purchased using the 9 times table.
Solution: Let's use the table of 9 to express this mathematically.
For example, 9 packs of 16 pencils equal 9 x 16 or 144.
Thus, Nitara has acquired a total of 144 pencils.
Example 4: Determine whether 9 times 5 less 10 equals 20 using the table of 9.
Solution: To start, we'll calculate 9 x 5 - 10 mathematically.
Using the nine times table,
we get: 9 x 5 - 10 = 45 - 10 = 35 equals 9 x 5 - 10
Therefore, 9 x 5 - 10 is not 20.
Example 5: Let's figure out what 9 x 2 equals.
Solution: Adding 9,2 times while keeping in mind that 9 x 2 equals 18.
So, 9+9 = 18.
Consequently, 9 x 2 equals 18.
As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
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As per latest 2024 syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters