The problem is to complete the pattern of division problems. We are given: $\square \div 10 = 0.008735$ $\square \div 100 = 0.008735$ $\square \div 10,000 = 0.008735$ $\square \div 100,000 = 0.008735$

ArithmeticDivisionDecimalsPatterns
2025/5/29

1. Problem Description

The problem is to complete the pattern of division problems. We are given:
÷10=0.008735\square \div 10 = 0.008735
÷100=0.008735\square \div 100 = 0.008735
÷10,000=0.008735\square \div 10,000 = 0.008735
÷100,000=0.008735\square \div 100,000 = 0.008735

2. Solution Steps

To find the missing number in each equation, we need to multiply the divisor by the quotient.
For the first equation:
x÷10=0.008735x \div 10 = 0.008735.
x=0.008735×10=0.08735x = 0.008735 \times 10 = 0.08735.
For the second equation:
x÷100=0.008735x \div 100 = 0.008735.
x=0.008735×100=0.8735x = 0.008735 \times 100 = 0.8735.
For the third equation:
x÷10,000=0.008735x \div 10,000 = 0.008735.
x=0.008735×10,000=87.35x = 0.008735 \times 10,000 = 87.35.
For the fourth equation:
x÷100,000=0.008735x \div 100,000 = 0.008735.
x=0.008735×100,000=873.5x = 0.008735 \times 100,000 = 873.5.

3. Final Answer

The completed pattern is:
0.08735÷10=0.0087350.08735 \div 10 = 0.008735
0.8735÷100=0.0087350.8735 \div 100 = 0.008735
87.35÷10,000=0.00873587.35 \div 10,000 = 0.008735
873.5÷100,000=0.008735873.5 \div 100,000 = 0.008735

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