Solve the Equation: Finding the Missing Digit in 20?1=20

Identity Property with Multiplication Operations

20?1=20 20?1=20

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Identify the correct mathematical sign
00:03 Let’s calculate each possibility and select the correct one
00:20 20 plus 1 is not equal to 20
00:23 20 minus 1 is not equal to 20
00:27 Any number multiplied by 1 is always equal to itself
00:32 This is the solution

Step-by-step written solution

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1

Understand the problem

20?1=20 20?1=20

2

Step-by-step solution

To solve this problem, we need to identify which mathematical operation correctly completes the equation 20?1=20 20?1=20 . We will examine each of the basic arithmetic operations to see which one fits:

  • Addition (++): If we replace the question mark with a plus sign, we get 20+1 20 + 1 . This equals 21, which does not match 20. Therefore, addition is not the correct operation.

  • Subtraction (-): If we replace the question mark with a minus sign, we get 201 20 - 1 . This equals 19, which does not match 20. Therefore, subtraction is not the correct operation.

  • Multiplication (xx): If we replace the question mark with a multiplication sign, we get 20×1 20 \times 1 . This equals 20, which matches the right side of the equation. Therefore, multiplication is the correct operation.

After trying out all the possible choices, we confirm that multiplication is the correct choice. Therefore, the solution to the problem is that the operation to complete the equation 20?1=20 20?1=20 is x x .

3

Final Answer

x

Key Points to Remember

Essential concepts to master this topic
  • Identity Property: Any number multiplied by 1 equals itself
  • Technique: Test each operation: 20×1=20 20 \times 1 = 20
  • Check: Verify by substitution: 20×1=20 20 \times 1 = 20 gives true statement ✓

Common Mistakes

Avoid these frequent errors
  • Not testing all operations systematically
    Don't just guess the operation without checking = wrong answer! Students often pick addition first without testing. Always substitute each operation choice into the equation and calculate both sides to find which one makes the equation true.

Practice Quiz

Test your knowledge with interactive questions

\( 2+0= \)

FAQ

Everything you need to know about this question

Why isn't addition the answer since 20 + 1 is close to 20?

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Close isn't correct! In mathematics, equations must be exactly equal. Since 20+1=21 20 + 1 = 21 , not 20, addition doesn't work.

How do I know which operation to try first?

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Try them systematically! Test addition, subtraction, multiplication, then division. Calculate both sides of the equation for each operation until you find the one that makes both sides equal.

What makes multiplication special with the number 1?

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The number 1 is the multiplicative identity! This means any number times 1 equals that same number. So 20×1=20 20 \times 1 = 20 , 5×1=5 5 \times 1 = 5 , etc.

Could there be more than one correct operation?

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Usually no! For most problems like this, only one operation will make the equation true. Always check your work by substituting each choice back into the original equation.

What if the equation was 20?0=20 instead?

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Great question! With 0, you'd need addition since 20+0=20 20 + 0 = 20 . Zero is the additive identity - adding 0 to any number leaves it unchanged.

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