The problem asks us to complete a pattern of division problems. We are given a number divided by an unknown number, which equals 13.119. The pattern is: $131.19 \div \underline{\hspace{1cm}} = 13.119$ $1311.9 \div \underline{\hspace{1cm}} = 13.119$ $13119 \div \underline{\hspace{1cm}} = 13.119$ $131190 \div \underline{\hspace{1cm}} = 13.119$

ArithmeticDivisionDecimal OperationsPattern Recognition
2025/5/29

1. Problem Description

The problem asks us to complete a pattern of division problems. We are given a number divided by an unknown number, which equals 13.
1
1

9. The pattern is:

131.19÷=13.119131.19 \div \underline{\hspace{1cm}} = 13.119
1311.9÷=13.1191311.9 \div \underline{\hspace{1cm}} = 13.119
13119÷=13.11913119 \div \underline{\hspace{1cm}} = 13.119
131190÷=13.119131190 \div \underline{\hspace{1cm}} = 13.119

2. Solution Steps

To find the missing numbers, we can rewrite each division problem as:
Dividend÷Divisor=QuotientDividend \div Divisor = Quotient, which can be rearranged to:
Divisor=Dividend÷QuotientDivisor = Dividend \div Quotient
Therefore, for each line, we must divide the first number (dividend) by 13.119 (quotient) to find the second number (divisor).
Line 1: 131.19÷13.119=10131.19 \div 13.119 = 10
Line 2: 1311.9÷13.119=1001311.9 \div 13.119 = 100
Line 3: 13119÷13.119=100013119 \div 13.119 = 1000
Line 4: 131190÷13.119=10000131190 \div 13.119 = 10000

3. Final Answer

The completed pattern is:
131.19÷10=13.119131.19 \div 10 = 13.119
1311.9÷100=13.1191311.9 \div 100 = 13.119
13119÷1000=13.11913119 \div 1000 = 13.119
131190÷10000=13.119131190 \div 10000 = 13.119

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