Mathematical Optimization: Identifying the Exercise with Maximum Result

Choose the exercise for the highest result

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the largest result
00:04 We'll use long multiplication for calculation
00:23 This is the calculation for the first option
00:27 Let's move to the second option
00:31 We'll use long multiplication for calculation
00:36 This is the calculation for the second option
00:39 Let's move to the third option
00:43 We'll use long multiplication for calculation
00:51 This is the calculation for the third option
00:57 Let's move to the fourth option
01:00 We'll use long multiplication for calculation
01:13 This is the calculation for the fourth option
01:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the exercise for the highest result

2

Step-by-step solution

To solve this problem, we'll calculate the product of each exercise:

  • Calculate 10×10=100 10 \times 10 = 100
  • Calculate 9×11=99 9 \times 11 = 99
  • Calculate 8×12=96 8 \times 12 = 96
  • Calculate 6×15=90 6 \times 15 = 90

Now, let's work through each calculation:

Step 1: Multiply 10×10 10 \times 10 .
This gives us a product of 100.

Step 2: Multiply 9×11 9 \times 11 .
This gives us a product of 99.

Step 3: Multiply 8×12 8 \times 12 .
This gives us a product of 96.

Step 4: Multiply 6×15 6 \times 15 .
This gives us a product of 90.

Upon comparing all calculated products, we find that the highest product is 100. Thus, the exercise that results in this highest product is 10×10 10 \times 10 .

Therefore, the solution to the problem is 10×10 10 \times 10 with a product of 100.

3

Final Answer

10×10 10\times10

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