Solve the Equation: ? × ? + 67 = 67 Missing Numbers Challenge

Fill in the missing values (?):

?×?+67=67 ?\times?+67=67

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Step-by-step video solution

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00:00 Identify the correct variables
00:03 Try each operation and check whether the result is a multiple of 0
00:08 Always solve multiplication and division before addition and subtraction
00:15 These variables are not compatible, let's continue to the next ones
00:21 Let's calculate
00:31 These variables are not compatible, let's continue to the next ones
00:38 0 multiplied by any number always equals 0
00:47 These variables are compatible, let's continue to the next ones
00:54 Let's calculate
01:00 Let's calculate, these variables are not compatible, let's continue to the next ones
01:05 This is the solution to the question

Step-by-step written solution

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1

Understand the problem

Fill in the missing values (?):

?×?+67=67 ?\times?+67=67

2

Step-by-step solution

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

  • Step 1: Recognize that the equation ?×?+67=67 ? \times ? + 67 = 67 simplifies to ?×?=0 ? \times ? = 0 .
  • Step 2: Apply the zero-product property, which implies that at least one of the terms multiplying equals zero.
  • Step 3: Check each answer choice to determine which contains zero as one of its elements.

Now, let's work through each step:
Step 1: The problem gives us the equation ?×?+67=67 ? \times ? + 67 = 67 , which simplifies to ?×?=0 ? \times ? = 0 since 67 plus zero equals 67.
Step 2: We apply the zero-product property: If a×b=0 a \times b = 0 , then a=0 a = 0 or b=0 b = 0 .
Step 3: Among the choices given, 0,3 0,3 surely results in 0×3=0 0 \times 3 = 0 . This fulfills the condition of the problem.

Therefore, the values to fill the missing digits in the equation are 0,3 0,3 .

3

Final Answer

0,3 0,3

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\( 1\times1000= \)

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