In a division equation with no remainder, if the 0 in the units digit is removed from the dividend, the divisor remains unchanged, and the quotient is 7, then what is the original quotient?

Because the dividend removes all zeros, that is, the dividend is reduced by 10 times, and the divisor remains unchanged, the quotient is also reduced by 10 times, so the original quotient is 10 times the current value, then the original quotient is 70 .

1. The relationship between the remainder and the divisor:

In a division formula with one or no remainder, the dividend can be divided by the divisor, that is, the remainder is 0. Therefore, a multiple of the dividend is the answer.

2. The role of zero in the ones digit of the dividend:

The zero in the ones digit of the dividend does not affect the fact that the dividend is a multiple. It is just a position holder in the value. symbol. Therefore, removing zeros from the ones digit of the dividend in the division equation has no effect on determining whether it is a multiple of the dividend.

3. The meaning of the multiples of the dividend:

The multiples of the dividend refer to the value that can divide the dividend. Specifically, if a number is divisible by another number, then that number is a multiple of that number.

4. Characteristics of multiples of the dividend:

The multiples of the dividend can be any integer, including positive integers, negative integers and zero. There is an arithmetic relationship between the multiples of the dividend, that is, the difference between adjacent multiples is equal to the dividend. The number of multiples of the dividend can be infinite. For example, for any positive integer n, its multiples can be expressed as n, 2n, 3n, 4n...

5. Example:

Suppose the dividend is 12, then after removing the zeros in the units digit in the division equation, it is the case where the divisor is 1. In this case, the multiples of 12 are 12, 24, 36, 48..., which divide 12 with no remainder.

6. Application examples:

Multiples of the dividend are widely used in real life. For example, in mathematics, the concept of multiples is often used in operations and analysis of integers. In economics, the concept of multiples is related to the multiplier effect, which is used to measure the impact of investment on economic growth. In physics, the concept of multiples is related to unit conversion. For example, converting meters to millimeters is achieved by multiplying by a multiple of 1000.