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What is the proof that a and b are positive numbers and a is less than b then the square root of a is less than the square root of b?
Wiki User
∙ 11y ago
You cannot prove it because it is not necessarily true.
A = 16 < B = 25
But one square root of A = +4 is not less than one square root of B = -5.
Wiki User
∙ 11y ago
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What kinds of numbers would I multiply by to get answers that are slightly less than my starting number A lot less?
NO for Integers NO for Real Numbers proof 1 * any integer is not bigger than that integer nor is 0 * any integer. proof for Real Numbers is easier any real < 1 * any real > 0 is not larger than the second Real for example .5 * 1 = .5 is less than 1 or .5 * 2 = 1 less than 2 or .5 * = 1 less than 2 or -1 *3 = -3 less than 3 so all fractions times a positive Real is less than that positive Real All negative numbers times a positive Real is less than that positive Real and 0 or 1 times all positive Reals is also less than that positive Real NO NO NO is the answer
How is a negative integer less then any positive integer?
Because positive numbers are to the right of negative numbers on the number line. If you have two numbers, one the negative of the other, and you add the positive to the negative, you get zero. If you add the positive to zero, you get a positive number. So positive numbers are an increase from zero, which is an increase from negative numbers. A negative number may have a greater absolute value than a positive number, but it will always be less than a positive number.
Is positive 13 greater than or less than negative 51?
Greater than. Positive numbers are greater than negative numbers.
The product of two numbers that are less than zero is also less than zero.?
No. The product of two negative numbers is positive.
What are the positive whole numbers less than 10?
They are 12345678 and 9.
How many positive square numbers less than 50?
positive square numbers less than 50 are 7 these are : 1,4,9,16,25,36,49.These are less than 50.
What kinds of numbers would I multiply by to get answers that are slightly less than my starting number A lot less?
NO for Integers NO for Real Numbers proof 1 * any integer is not bigger than that integer nor is 0 * any integer. proof for Real Numbers is easier any real < 1 * any real > 0 is not larger than the second Real for example .5 * 1 = .5 is less than 1 or .5 * 2 = 1 less than 2 or .5 * = 1 less than 2 or -1 *3 = -3 less than 3 so all fractions times a positive Real is less than that positive Real All negative numbers times a positive Real is less than that positive Real and 0 or 1 times all positive Reals is also less than that positive Real NO NO NO is the answer
Are negative numbers greater than less than or equal to positive numbers?
Less than.
Is the product of two positive mixed numbers less than one?
No, the product of two positive mixed numbers can never be less than one.
What are the 5 positive numbers that are less than 2.5?
5 positive numbers less than 2.5 are 2, 2.1, 2.2, 2.3, and 2.4.
What is a positive numbers that are less than 2.5?
2 is.
Greta picks two numbers from a bag both numbers are square numbers both numbers are less than 100 both numbers are multiples of 8 what numbers does greta pick?
Squares numbers are positive numbers. So that the square numbers less than 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81, and only 16 and 64 are multiples of 8. Thus, Greta picked 16, and 64.
How is a negative integer less then any positive integer?
Because positive numbers are to the right of negative numbers on the number line. If you have two numbers, one the negative of the other, and you add the positive to the negative, you get zero. If you add the positive to zero, you get a positive number. So positive numbers are an increase from zero, which is an increase from negative numbers. A negative number may have a greater absolute value than a positive number, but it will always be less than a positive number.
Is the product of two positive mixed numbers ever less than one?
No, the product of two positive mixed numbers can never be less than one.
What are the square root of numbers less then 100?
less than 10
What are positive and negative numbers called?
Positive numbers are greater than zero and negative numbers are less than zero. They are both collectively referred to as real numbers.
Are zeros less than decimal numbers?
Less than positive decimals, yes.
