What is inverse in math

The Multiplicative inverse of a number is the value that results as one when multiplied with the original value. The inverse function is a function that reverses the other function's action. The trigonometric functions are the functions that relate the right-angled triangle angle with the ratios of the side of the triangle. So, we find the angle of the triangle by using this formula. What if we have to calculate the hypotenuse of a triangle if an angle is given. Then we will use the inverse function to calculate the hypotenuse.

So, the inverse is written as. The inverse of an exponential function is a logarithmic function. Find the inverse of a number 4, 14, 25 and Ans: To find the inverse of a number, we have to take the reciprocal of the given numbers. Find the inverse of the addition of 2 numbers 35 and Ans: The inversion of addition is subtraction.

Find the inverse of the multiplication of the two numbers 5 and 9. Ans: The inverse of the multiplication is division. Find the additive inverse of the following numbers. Find the inverse of the function 10y - 3. Find the inverse of the exponential function 6 3. The inverse operation of solving equations is important because it allows the reversal of Mathematical operations.

One of the most important questions, once the Mathematical procedure is introduced, is how to reverse it. They would most likely also use a number line to count back on. These activities would give them a really firm grounding in the concept of subtraction. Teachers would then encourage them to try to work these questions out in their head.

When division is first taught usually in Year 2 a teacher may use counters to demonstrate what the concept means. Once children have got the hang of this, they would be expected to work out the answers to division questions quickly by using the inverse operation — multiplication.

In Year 2, they would need to learn their 2, 5 and 10 times tables and the corresponding division facts. So if someone asked them what 30 divided by 5 was, they would need to think: 'What do I multiply 5 by to make 30? Children in Key Stage 1 also need to be aware of the fact that doubling is the inverse of halving. They should understand that where double 3 is 6, half of 6 is 3. Using the inverse operation in Key Stage 2 In Key Stage 2, children would be expected to start using the inverse in order to check their answers.

If they halved a number, such as , and got the answer , they could check this by doubling it. Using the inverse operation to solve number puzzles Sometimes children may be given a question similar to the following: I think of a number. I add 17 to it. I divide it by 2. I end up with What number was I first thinking of? The best way to work this out would be by using the inverse. You would need to start with 20, then multiply 20 by 2 to get Since the original number had 17 added to it to make 40, you would need to subtract 17 from 40 to arrive at the answer, which is