The problem requires completing a pattern of division. We are given four equations where a number is divided by 10, 100, 1000, and 100,000, resulting in 99,790, 9,979, 997.9, and 9.979, respectively. We need to find the original number for each division.

ArithmeticDivisionMultiplicationDecimal NumbersPattern Recognition
2025/5/29

1. Problem Description

The problem requires completing a pattern of division. We are given four equations where a number is divided by 10, 100, 1000, and 100,000, resulting in 99,790, 9,979, 997.9, and 9.979, respectively. We need to find the original number for each division.

2. Solution Steps

To find the original number in each division problem, we need to multiply the result by the divisor.
* For the first equation: x/10=99,790x / 10 = 99,790. Thus, x=99,79010=997,900x = 99,790 * 10 = 997,900
* For the second equation: x/100=9,979x / 100 = 9,979. Thus, x=9,979100=997,900x = 9,979 * 100 = 997,900
* For the third equation: x/1,000=997.9x / 1,000 = 997.9. Thus, x=997.91,000=997,900x = 997.9 * 1,000 = 997,900
* For the fourth equation: x/100,000=9.979x / 100,000 = 9.979. Thus, x=9.979100,000=997,900x = 9.979 * 100,000 = 997,900

3. Final Answer

The completed pattern is:
997,900 / 10 = 99,790
997,900 / 100 = 9,979
997,900 / 1,000 = 997.9
997,900 / 100,000 = 9.979

Related problems in "Arithmetic"