Solve the Division Equation: 52.3 ÷ ? = 0.523

52.3:?=0.523 52.3:?=0.523

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Step-by-step video solution

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00:00 Find the unknown
00:03 Multiply by the factor to find the unknown
00:09 Move the decimal point according to the number of zeros, and find the unknown
00:12 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

52.3:?=0.523 52.3:?=0.523

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Recognize the given expression as a division problem: 52.3:x=0.523 52.3 : x = 0.523 .
  • Step 2: Convert it into a multiplication equation: 52.3=0.523×x 52.3 = 0.523 \times x .
  • Step 3: Solve for x x . This means rearranging the equation: x=52.30.523 x = \frac{52.3}{0.523} .
  • Step 4: Perform the division to find x x .

Now, let's work through these steps:

Step 1: We start with 52.3:x=0.523 52.3 : x = 0.523 .

Step 2: By converting the division into multiplication, we have 52.3=0.523×x 52.3 = 0.523 \times x .

Step 3: Isolating x x , we rewrite this as x=52.30.523 x = \frac{52.3}{0.523} .

Step 4: Performing the division yields x=100 x = 100 .

Therefore, the solution to the problem is x=100 x = 100 .

3

Final Answer

100 100

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\( \text{0}.07\times10= \)

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