Math Problem Statement

What are the missing digits in the subtraction problem 69,20_ - 3,7_46 = 25,5841?

Solution

Let's analyze and solve the problem shown in the image. The subtraction problem appears as follows:

69,203,746=25,584169,20\Box - 3,7\Box46 = 25,5841

We have to determine the missing digits represented by the boxes. Here’s the step-by-step breakdown of the subtraction:

Step 1: Align the numbers

The problem can be rewritten as: 69,20X3,7Y46=25,584169,20X - 3,7Y46 = 25,5841 We know:

  • XX is the last digit of the minuend (69,20X).
  • YY is the third digit from the left in the subtrahend (3,7Y46).

Step 2: Analyzing the units place

The unit place subtraction involves: X6=1X=7X - 6 = 1 \quad \Rightarrow \quad X = 7

Step 3: Next column analysis

Let's now check the tens place: Since YY needs to be determined and using the information we found in the units column, the next significant subtraction problem is: 0Y=8+10 (borrowing happens)0 - Y = 8 + 10 \text{ (borrowing happens)} Thus: 10Y=8Y=210 - Y = 8 \quad \Rightarrow \quad Y = 2

So, X=7X = 7 and Y=2Y = 2. The full subtraction becomes: 69,20737,246=25,584169,207 - 37,246 = 25,5841

The solution is:

The missing digits are X=7X = 7 and Y=2Y = 2.

Would you like further details or have any other questions?

Five Related Questions

  1. How do you handle borrowing in multi-digit subtraction problems?
  2. How can you verify your subtraction answers?
  3. What happens if the top digit is smaller than the bottom digit in a column?
  4. Can subtraction be checked using addition?
  5. How does place value affect subtraction problems?

Tip

Always work from right to left when performing multi-digit subtraction, paying close attention to borrowing across place values!

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Math Problem Analysis

Mathematical Concepts

Subtraction
Borrowing in multi-digit subtraction

Formulas

Column subtraction with borrowing

Theorems

Basic subtraction of multi-digit numbers

Suitable Grade Level

Grade 4