We are asked to complete a pattern of division by 100,000. We need to find the missing values in the following equations: $x \div 100,000 = 1.8346$ $1,834,600 \div 100,000 = y$ $18,346,000 \div z = 183.46$ $w \div 100,000 = 1,834,600$

ArithmeticDivisionMultiplicationDecimal NumbersPattern Recognition
2025/5/29

1. Problem Description

We are asked to complete a pattern of division by 100,
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0. We need to find the missing values in the following equations:

x÷100,000=1.8346x \div 100,000 = 1.8346
1,834,600÷100,000=y1,834,600 \div 100,000 = y
18,346,000÷z=183.4618,346,000 \div z = 183.46
w÷100,000=1,834,600w \div 100,000 = 1,834,600

2. Solution Steps

* For the first equation, x÷100,000=1.8346x \div 100,000 = 1.8346, we can find xx by multiplying both sides by 100,000:
x=1.8346×100,000=183460x = 1.8346 \times 100,000 = 183460
* For the second equation, 1,834,600÷100,000=y1,834,600 \div 100,000 = y, we can find yy by performing the division:
y=1,834,600100,000=18.346y = \frac{1,834,600}{100,000} = 18.346
* For the third equation, 18,346,000÷z=183.4618,346,000 \div z = 183.46, we can find zz by dividing 18,346,000 by 183.46:
z=18,346,000183.46=100,000z = \frac{18,346,000}{183.46} = 100,000
* For the fourth equation, w÷100,000=1,834,600w \div 100,000 = 1,834,600, we can find ww by multiplying both sides by 100,000:
w=1,834,600×100,000=183,460,000,000w = 1,834,600 \times 100,000 = 183,460,000,000

3. Final Answer

The completed pattern is:
183,460÷100,000=1.8346183,460 \div 100,000 = 1.8346
1,834,600÷100,000=18.3461,834,600 \div 100,000 = 18.346
18,346,000÷100,000=183.4618,346,000 \div 100,000 = 183.46
183,460,000÷100,000=1,834,600183,460,000 \div 100,000 = 1,834,600

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