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How do you do minimum and maximum measurements?

The minimum would be the number of the least value in your data set, and the maximum would be the number of the greatest value in your data set. Value is determined by the distance of the number from zero on the number line for positive numbers, and all negative numbers have less value than positive numbers or zero (unless you are determining absolute value). If you have different forms of numbers less than one to categorize (such as decimals, fractions, or percentages) convert all numbers to decimals (by dividing by 100 for percentages and dividing the numerator by the denominator for fractions) to make finding the minimum and maximum values easier.


Explain Why the product of two nonzero absolute values is always a positive number?

The absolute value of a number is its distance from zero on the number line, so it is always non-negative. When you multiply two nonzero absolute values, you are essentially multiplying two non-negative numbers together. In multiplication, a positive number multiplied by a positive number always results in a positive number, hence the product of two nonzero absolute values is always positive.


Does a positive value multiplied by a negative value equal a positive?

No, the product of the multiplication of a positive and a negative value is negative.


Does -3x have a positive or negative value?

It depends on what the value of x is. If x is a positive number, then it will be negative because a negative number multiplied by a positive number is negative. If x is a negative number, then it will be positive because the product of two negative numbers is always a positive number.


Will positive numbers alway have a higher absolute value than the negative numbers?

No, positive numbers do not always have a higher absolute value than negative numbers. The absolute value of a negative number is equal to its positive equivalent. For example, the absolute value of -3 and 3 is both 3.


Will the product of a positive and a negative factor be a positive or negative value?

Negative


Is the vertex of a parabola occurs at the minimum value of the function?

Yes if it is positive


How should one choose 2 positive numbers product is 2 in order to minimize the sum of their squares?

Assume two numbers to be a & b. Then we have a+b = 2 such that a^2 + b^2 should be minimum. Convert a^2 + b^2 into single variable function. f(a) = a^2 + (2-a)^2 since b=(2-a) Now our requirement is to choose value 'a' such that f(a) should be minimum. # To get value at which a function is minimum or maximum, differentiate the function w.r.t that variable and make it equal to zero. # Double differentiate the function if it is greater than zero at that value the function will have minimum value at that value and if it is less than zero, function will have maximum value f`(a) = 0 implies a=2/3 which imples b=5/3 but those are not numbers nearest integer for both variables is 1. Hence a=b=1


What is the absolute value of 300?

300. Numbers only change when put in absolute value if they are negative. The absolute value just takes the positive number of all positive and negative numbers.


Will positive numbers always have a higher absolute value than the negative numbers and WHY?

No. The absolute value is the distance a number is from zero. It is always represented by a positive number. The absolute value of any positive number and its negative counterpart is the same.


What negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number Explain?

No it is not true. The absolute value of a number is simply the value of the number with a positive sign.


Do negative numbers possess inherent value?

Yes, as much as positive numbers do.