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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.
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 sum of a number and its absolute value?
It is either two times the number or 0.
Is the sum of a positive number and a negative number always negative?
no- it depends on the absolute values of the numbers. The sum is negative only if the absolute value ( the value without the sign) is larger than the positive number. example -98 + 100 is positive because 100 is larger than 98. -100 + 98 is negative because 100 is larger than 98.
When is the sum of two rational numbers with different signs positive?
The sign of the sum is positive when the absolute value of the positive addend is greater than that of the negative addend.
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.
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.
When you add a positive integer and a negative integer the sum will have the same sign as which number?
When you add a positive integer and a negative integer, the sum will have the same sign as the integer with the larger absolute value. If the positive integer is greater in absolute value, the sum will be positive; if the negative integer has a greater absolute value, the sum will be negative. If they are equal in absolute value, the sum will be zero.
What is the sum of a number and its absolute value?
It is either two times the number or 0.
Is the sum of two integers positive or negative?
If for the two integers a + b = c, a is larger than zero and b is larger than the absolute value of the first number, then c is always positive. If a is smaller than zero, and b is larger than the absolute value of the second number, then c is positive. If a is smaller than zero, and b is smaller than the absolute value of the second number, then c is negative.
Why is the sum of a negative number and a positive number is sometimes positive sometimes negative and sometimes zero?
The sum of a negative number and a positive number can be positive, negative, or zero depending on their absolute values. If the positive number has a greater absolute value than the negative number, the result is positive. Conversely, if the negative number has a greater absolute value, the result is negative. If their absolute values are equal, the sum equals zero.
What is the sum of absolute values?
The sum of absolute values refers to the total obtained by taking the absolute value of each number in a set and then adding those values together. The absolute value of a number is its distance from zero on the number line, regardless of direction, meaning it is always non-negative. For example, for the set {-3, 4, -1}, the sum of absolute values would be |−3| + |4| + |−1| = 3 + 4 + 1 = 8. This concept is often used in mathematics and statistics to analyze data without regard to sign.
How can we tell without calculating whether the sum of a positive number and a negative number will be positivenegative or zero?
To determine the sum of a positive number and a negative number without calculating, we can compare their absolute values. If the absolute value of the negative number is less than the positive number, the result will be positive. If the absolute value of the negative number is greater than the positive number, the result will be negative. If they are equal, the sum will be zero.
Is the sum of a positive number and a negative number always negative?
no- it depends on the absolute values of the numbers. The sum is negative only if the absolute value ( the value without the sign) is larger than the positive number. example -98 + 100 is positive because 100 is larger than 98. -100 + 98 is negative because 100 is larger than 98.
What is greater than the number in a pair?
The value of the sum of their absolute values is one possible answer.
Why does the mean absolute value deviation is calculated using absolute value?
if no absolute value is used the sum is zero.
When is the sum of two rational numbers with different signs positive?
The sign of the sum is positive when the absolute value of the positive addend is greater than that of the negative addend.
