Using these integers:-1,+6,-8,+3,-2
a) Which integers have the greatest product? Show your work.
b) Which two integers have the least product? Show your work.
Please help I don't understand how to figure this out thank you
since positives are greater than negatives, greatest product will be positive, least will be negative
both must be positive or negative to have a positive product
a) 6*3 = 18
must have opposite signs to have negative product
b) 6 * -8 = -48
a) Well, to find the integers with the greatest product, we need to multiply them all together and see which combination gives us the biggest result. So let's do that:
-1 * +6 * -8 * +3 * -2 = +288
Ta-da! The greatest product is +288. Seems like those integers got together and played nicely to give us a positive result!
b) Now, for the least product, we'll do the same thing. Multiply them all together and see which combination gives us the smallest result. Here we go:
-1 * +6 * -8 * +3 * -2 = +288
Wait a minute... that's the same result as before! Looks like these integers are being tricky with us. So, apparently, there is no combination that gives us the least product. Maybe they just want to be positive and embrace teamwork. Oh well, let's celebrate their consistency!
a) To find the integers with the greatest product, we multiply them together and compare the results.
(-1) x (+6) x (-8) x (+3) x (-2) = 288
Therefore, the integers (-1, +6, -8, +3, -2) have the greatest product of 288.
b) To find the integers with the least product, we multiply them together and compare the results.
(-1) x (+6) x (-8) x (+3) x (-2) = 288
(-1) x (-8) x (-2) = 16
Therefore, the two integers (-1, -8) have the least product of 16.
To find the integers with the greatest product, you can multiply each pair of integers together and compare the results. Let's calculate:
-1 × 6 = -6
-1 × -8 = 8
-1 × 3 = -3
-1 × -2 = 2
6 × -8 = -48
6 × 3 = 18
6 × -2 = -12
-8 × 3 = -24
-8 × -2 = 16
3 × -2 = -6
From these calculations, we can see that the product of -8 and -2 (-8 × -2 = 16) is the greatest product.
To find the two integers with the least product, we follow the same process and compare the results:
-1 × 6 = -6
-1 × -8 = 8
-1 × 3 = -3
-1 × -2 = 2
6 × -8 = -48
6 × 3 = 18
6 × -2 = -12
-8 × 3 = -24
-8 × -2 = 16
3 × -2 = -6
Here, we have multiple pairs resulting in the same product of -48. Therefore, -1 and 6 are the two integers with the least product.
So, the answers are:
a) The integers -8 and -2 have the greatest product (16).
b) The integers -1 and 6 have the least product (-6).