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What is the smallest possible value for the product of 2 integers that differ by 7?
- a)8
- b)0
- c)-6
- d)-10
- e)-12
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
What is the smallest possible value for the product of 2 integers that...
Explanation:
Product of Two Integers:
When two integers differ by 7, we can represent them as x and x+7, where x is the smaller integer.
Product Calculation:
The product of these two integers is calculated as:
x * (x + 7)
Finding the Smallest Value:
To find the smallest possible value for the product, we need to determine the smallest value of x.
Calculating the Product:
Let's substitute the smallest value of x into the product formula:
-2 * (-2 + 7) = -2 * 5 = -10
Answer:
Therefore, the smallest possible value for the product of 2 integers that differ by 7 is -10, which corresponds to option 'E'.
Product of Two Integers:
When two integers differ by 7, we can represent them as x and x+7, where x is the smaller integer.
Product Calculation:
The product of these two integers is calculated as:
x * (x + 7)
Finding the Smallest Value:
To find the smallest possible value for the product, we need to determine the smallest value of x.
Calculating the Product:
Let's substitute the smallest value of x into the product formula:
-2 * (-2 + 7) = -2 * 5 = -10
Answer:
Therefore, the smallest possible value for the product of 2 integers that differ by 7 is -10, which corresponds to option 'E'.
Community Answer
What is the smallest possible value for the product of 2 integers that...
The smallest possible value will occur when it is negative. A negative product will result only when one of the numbers is positive and one is negative. The possible pairs are then -1 and 6, -2 and 5, -3 and 4, -4 and 3, -5 and 2, and -6 and 1. Of these pairs, the smallest product is (-3)(4) = (-4)(3), or -12.
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What is the smallest possible value for the product of 2 integers that differ by 7?a)8b)0c)-6d)-10e)-12Correct answer is option 'E'. Can you explain this answer?
Question Description
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