Study guides

☆☆

Q: The product of two positive numbers is greater than either number?

Write your answer...

Submit

Still have questions?

Related questions

because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.

A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either of the two numbers! * Or 0.5 x 10 = 5 . Here the product is greater than 0.5 but smaller than 10. So the answer is ...sometimes!

Not if either of the numbers is between 0 and 1. 5*0.5 = 2.5 is not greater than 5 0.3*0.4 = 0.12 is smaller than both multiplicands.

No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either

Not always.

False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.

Not always. Here are counterexamples: Cases involving 1: 1 x 1 = 1 1 x 3 = 3 Cases involving positive numbers less than 1: 0.5 x 10 = 5 0.5 x 0.5 = 0.25 Note that here we have positive numbers that are less than or equal to 1. When either number is less than 1, the product will not be greater than both numbers. Also, if either number is equal to 1, the product will be equal to the larger of the original numbers. A modified statement is the product P of two positive real numbers x and y such that x, y > 1, is greater than both x and y.

Positive numbers are greater than negative numbers. Decimals can be either positive or negative.

The difference between two numbers is the result of a subtraction. This can be either positive or negative, depending on which number is greater.

No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.

No.

All numbers greater than one are positive integers that are either composite or prime numbers.

Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.

No. 2*-1=-2. -2 is less than -1. 2*1=2. 2 is the same as 2. It is, if both are positive and greater than ' 1 '.

Consider 4 cases 1. The sum of any two positive numbers is clearly greater than either number. 2. The sum of any two negative numbers is LESS than either of the two numbers. ( (Look at -2+(-3)=-5 .) 3. The sum of any negative number and a positive number is always greater than the negative number but less than the positive number. (Look at -2+3=1, or -5+3=-2) 4. The sum of any number and 0 is that number so it is not greater. So it appears that the sum of any two numbers is greater than either of the two numbers when the two number are both positive.

False.

Yes, if both the numbers have the same sign. But not if only one of them is negative.

The product of two digit numbers is always greater than either.

The following rules apply to all real numbers.if either number is zero, then the product is zero.if the signs of two numbers are the same, their product is positive; if the signs are different then the product is negative.for the product of three or more numbers, the associative property can be used to find the product two-at-a-time.

"Either" is used for two. I'll assume that you mean "larger than ANY of them". The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one. For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example: 0.5, 3, 5 The largest number here is 5; the product of the OTHER two is 0.5 x 3 = 1.5. Or here is an example with integers: -5, -3, 10 The product of the "other two" numbers is 15, which is larger than one - so the product of all three is larger than the largest number (and therefore, larger than ANY of them). Another example: -5, 1, 10 The product of the two numbers OTHER than the largest is -5 x 1 = -5; since this is NOT greater than 1, the product of all three is NOT greater than any of the numbers. This reasoning can be extended to four or more numbers. For 4 numbers: If the product of all three numbers OTHER than the largest one is GREATER than one, then the product of ALL FOUR numbers is greater than ANY of them.

No, the rule for multiplication is much easier than that. If the two numbers have the same sign, then their product is positive. If they have different signs, then their product is negative.

Not unless both whole numbers are positive. * * * * * Strictly speaking, non-negative. 3 + 0 = 3 is not greater than 3

if divide the prime numbers by the compositenumber it will give you a greater number that is either a prime number or composite.

Every positive integer greater than 1 is either prime or composite.

Not true if either of the numbers is negative.