Solve the Equation: Finding Missing Factors in 40-?×?=40

Fill in the missing values (?):

40?×?=40 40-?\times?=40

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the suitable unknowns
00:03 We'll substitute each option and calculate, we want to get a multiple of 0
00:14 Always solve multiplication and division before addition and subtraction
00:19 Let's calculate
00:27 These unknowns don't fit, let's continue to the next ones
00:35 Let's calculate
00:42 These unknowns don't fit, let's continue to the next ones
00:51 0 multiplied by any number always equals 0
00:57 These unknowns fit, let's continue to the next ones
01:08 Let's calculate
01:12 And 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 (?):

40?×?=40 40-?\times?=40

2

Step-by-step solution

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

  • Step 1: Recognize that for the equation 40?×?=40 40 - ? \times ? = 40 to remain true, the term ?×? ? \times ? must equal zero.
  • Step 2: Use the property of multiplication by zero to identify the values of ? ? .
  • Step 3: Check each pair from the given choices against this requirement.

Now, let's evaluate each choice:

  • Choice (1): 4,5 4, -5 results in 4×5=20 4 \times -5 = -20 , thus 40(20)=60 40 - (-20) = 60. Does not satisfy the equation.
  • Choice (2): 6,3 6, 3 results in 6×3=18 6 \times 3 = 18 , thus 4018=22 40 - 18 = 22. Does not satisfy the equation.
  • Choice (3): 0,3 0, 3 results in 0×3=0 0 \times 3 = 0 , thus 400=40 40 - 0 = 40. Satisfies the equation.
  • Choice (4): 1,20 1, 20 results in 1×20=20 1 \times 20 = 20 , thus 4020=20 40 - 20 = 20. Does not satisfy the equation.

Hence, the correct choice is the pair 0,3 0, 3 as it satisfies the condition required by the equation.

Therefore, the missing values are 0,3 0, 3 .

3

Final Answer

0,3 0,3

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\( 20:1= \)

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