Inverse Operation for Division

The inverse operation for division is multiplication. This means that when you divide a number by another number, you can undo the operation by multiplying the quotient by the divisor.

Example:

If we divide 20 by 5, we get a quotient of 4. To undo this operation, we can multiply 4 by 5 which gives us 20.

Why is multiplication the inverse operation for division?

Division and multiplication are inverse operations because they undo each other.

- Division is the process of splitting a number into equal parts.
- Multiplication is the process of combining equal parts to form a whole.

When we divide a number, we are essentially breaking it down into smaller parts. To undo this process, we need to combine those parts back together. This is where multiplication comes in.

The relationship between division and multiplication can be shown using the following formula:

Dividend ÷ Divisor = Quotient

Divisor x Quotient = Dividend

Conclusion

In summary, the inverse operation for division is multiplication. To undo a division operation, we need to multiply the quotient by the divisor. This relationship between division and multiplication is important in mathematics and can be used to solve various problems.

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