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A teacher wrote two numbers on the board negative 10 and positive 7 On the lines below explain which number has the larger absolute value and why?
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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 the sum of two negative numbers always have to be positive?
Most of the time, the sum of two negative numbers will always be negative EX: -2 + -8 = -10 But, if absolute value is added to the equation then the answer will always be positive EX: l -2 + -8 l = 10 In this case, the absolute value symbols are indicated by lower case "L's"
What are the rules for multiplying integers?
Positive x Positive =Positive Positive x Negative= Negative Negative x Positive= Negative Negative x Negative =Positive
Why are negative numbers in brackets positive but positive numbers in brackets are not negative?
'cuz
A negative plus a negative equals a positive?
Well if we read the texts from Josh Welsh we can see that if you add a potato you get 63, therfore Josh knows the answer to everything but he is to lazy to answer it. So he guesses about 83 rubber ducks.
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.
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.
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.
How can you decide if the sum of two numbers is positive negative or zero without calculating the sum?
The sum of two negative numbers is positive and the sum of two negatives is negative. If you have both positive and negative numbers the sum can be either so look at the absolute value. If the negative number has a greater absolute value, the sum is negative. If the positive number has a greater absolute value the sum is positive. If the absolute values are equal, the sum is zero.
What is the sign for multiplication and addition?
If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.
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.
Can a negative number be greater than a positive number?
No. All positive numbers are greater than zero and all negative numbers are less than zero. Therefore, all positive numbers are greater than all negative numbers. That said, there is a such thing as absolute value, which is how far a number is from zero. For example the absolute value of -10 is 10. The absolute value of a negative number can be greater than that of a positive number.
How can you decide if the sum of two numbers is positive negative or zero without actually calculating the sum?
The sum of two positive numbers is always positive, and the sum of two negatives is always negative. If you have a positive and a negative number, there sum can be either, so look at the absolute values to decide. For example -3+2=-1. Since all you care about is the sign, look at the absolute value. If the negative number has a greater absolute value, the sum is negative and if the positive number's absolute value, which is the number itself, is bigger, the sum is positive. If the absolute values are equal, the sum is 0.
What do you call distance between a number and 0?
The distance between any number, positive or negative, is called the "absolute value." This number is always positive, as it measures distance. For positive numbers, the absolute value is just the number. For negative numbers, drop the negative sign, and you have the absolute value. Alternative name: magnitude.
What are the rules for adding numbers whose signs are different?
Positive plus positive is positive. Negative plus negative is negative. Positive plus negative is positive if the absolute value of the positive number is greater than the absolute value of the negative one. Positive plus negative is negative if the absolute value of the negative number is greater than the absolute value of the positive one.
How do you add negative numbers to positive numbers?
To add a negative number and a positive number: -- Find the difference of their absolute values (their sizes, ignoring their signs). -- Give it the same sign as whichever of the original two numbers had the larger absolute value.
Is the sum of an absolute value is the same of their absolute values?
The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
