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The product of two rational numbers, X and Y, is smaller than either of them if both are between 0 and 1.

Q: When would you get a smaller product when multiplying two rational numbers?

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It is the smallest non-negative rational number. Negative numbers are rational and are smaller.

There weren't any numbers given below.

No, when you add two negative numbers, it wil get smaller (i.e. less than 0) e.g. -1+-5 = -6 minus 6 is smaller than -1 and -5 If you were fining the product (multiplying) then yes, -2x-2 = 4 because a - x a - = a +

there are infinitely many positive rational and irrational numbers smaller than .0001. Try .00001. Or how about π/100000.

4,6,8,10

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The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.

No. A rational number is ANY number that can be represented as one integer over a second integer (which cannot be zero). There is no requirement that the top integer is less than the bottom integer (an improper fraction is still a rational number - all integers are rational numbers as they can be represented as an improper fraction with a 1 as the denominator). Only if both rational numbers are less than 1 will the result of multiplying them together be less than both of them. If one rational number is greater than 1 and the other less than 1, then the result of multiplying them together is greater than the number less than 1 and less than the number greater than 1. If both rational numbers are greater than 1, then the result of multiplying them together is greater than both of them.

It is the smallest non-negative rational number. Negative numbers are rational and are smaller.

There weren't any numbers given below.

1

When multiplying decimals less than 1, the answer gets smaller because each decimal is less than 1. Multiplying a number by a value less than 1 will always result in a smaller product. Think of it as taking a fraction or a portion of the number, which will inevitably make the product smaller.

You only get a smaller decimal if you do 0. something because your multiplying it by 0! oust like with the whole numbers, if you times something by 0 it gets smaller. only with a decimal, there's are still numbers less than the 0 so it gets smaller and smaller until you have a total of 0!

No, when you add two negative numbers, it wil get smaller (i.e. less than 0) e.g. -1+-5 = -6 minus 6 is smaller than -1 and -5 If you were fining the product (multiplying) then yes, -2x-2 = 4 because a - x a - = a +

there are infinitely many positive rational and irrational numbers smaller than .0001. Try .00001. Or how about π/100000.

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

No because 1 x 1 = 1. Any number multiplied by 1 is equal to the number. This is not an insignificant principle. Also, multiplying a positive number by a number smaller than one will give you an answer smaller than the original number.

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