How do you do these math problems? The absolute value of a rational number

1. Knowing [m-n]+[n+9]=0, find the value of m+n.

m-n=0 n+9=0

m=n=-9

m+n=-18

2. If there is a rational number ay>0, then [x-y] = x-y x+y] = x+y y-x] x-y fill in the blank).

5. If [a-5]=a-5, then the relationship between a and 5 is.

a = 5, if [a-5] = 5-a, then the relationship between a and 5 is.

a =5 fill in the blank).

1. Knowing [m-n]+[n+9]=0, find the value of m+n.

n = -9； m = -9 ；

So m+n = -18;

2. If there is a rational number ay>0, then [x-y]=x-y, [x+y]= x=y, [y-x] x-y

5. If [a-5]=a-5, then the relationship between a and 5 is a>=5, and if [a-5]=5-a, then the relationship between a and 5 is a<=5

1。Because the two absolute values want to be added to 0

So m=n=-9

2。Draw to know.

The resulting number is -a+b+c

3.From [a-b]=b-a, if a is less than b, a=-2, b=3, then a+b=1x+y, x-y

Greater than or equal to 5 a and less than or equal to 5

The absolute value of any rational number is a non-negative number.

Cause: The absolute value of a negative number is equal to a positive number.

The absolute value of a positive number is equal to the original positive number.

The absolute value of 0 is 0.

To sum up, the conclusion at the beginning is obtained.

The answer is: non-negative. Because rational numbers include positive and negative numbers, and there is also a "0".

And "0" is neither positive nor negative. But "0", like a positive number, their absolute value is themselves; But a negative number is definitely a positive number. So it can be concluded that the absolute value of any rational number is a non-negative number.

The absolute value of any rational number is a non-negative number.

A non-negative number is a positive number or a 0

Rational number. Whether the absolute value of a positive rational number is itself, or is it a rational number.

Is the absolute value of 0 0, or a rational number.

Is the absolute value of a negative rational number its opposite, or is it a rational number.

So in summary, the absolute value of any rational number is still a rational number.

Hope it helps.

To find the absolute value of a rational number, first determine whether the number is a (positive) number, a (0) number or a (negative number), and then according to the (formula), find the absolute value of each number.

To determine the absolute value of a number, first look at whether it is a positive number, a negative number or a zero, and then find the absolute value of each number according to the (numerical part). After simplifying the symbols, add the same signs, take the same symbols, and add the absolute values; Subtract the different signs, take the sign with the larger absolute value, and subtract the smaller absolute value from the larger absolute value. The sum of two numbers that are opposite to each other is zero.

Add a number to zero and still get this number.

Related properties: 1) The absolute value of any rational number is a number greater than or equal to 0, which is the non-negativity of the absolute value.

2) There is only one number whose absolute value is equal to 0, which is 0.

3) There are two kinds of numbers whose absolute value is equal to the same positive number, and these two numbers are opposite to each other or equal.

4) The absolute values of two numbers that are opposite to each other are equal.

5) The absolute value of a positive number is itself.

6) The absolute value of a negative number is its opposite.

To find the absolute value of a rational number, first determine whether the number is a (positive) number, a (0) number or a (negative number), and then according to the (formula), find the absolute value of each number.

There is no negative number in an absolute value, the absolute value of a negative number is its opposite, the absolute value of a positive number is itself, and the absolute value of 0 is still 0.

Multiplying two numbers, if you replace a factor with its opposite, the resulting product is the opposite of the original product.

Multiply the two numbers, the same sign is positive, the different sign is negative, and the absolute value is multiplied.

Any number multiplied by zero gives zero.

Multiply several numbers that are not equal to zero, and the sign of the product is determined by the number of negative factors, and when the number of negative factors is later than an odd number, the product is negative; When there is an even number of negative factors, the product is positive.

In mathematics. Absolute or modulus | x |is a non-negative value, regardless of its sign, i.e., |x |x represents positive x, | x |x means negative x (in this case -x is positive under the bridge), |0 | 0。For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

The absolute value of a number can be considered as the distance from zero.

The generalization of the elimination of absolute values of real numbers occurs in a wide variety of mathematical settings, such as complex numbers, quaternions, ordered rings, fields, and vector spaces to define absolute values. Absolute values are closely related to the concepts of size, distance, and norm in a variety of mathematical and physical environments.

Beg. Rational number.

The absolute value of the rolling perturbation, Zhaoshi first judged that this number is (positive.

number, (0 number or (negative number, and then according to the (Gong Da guess Dan formula, find the absolute value of each number.

（1)10+4+2+13+12+8+5=543+8+2=13 54-13=41km（2）54+13=67 67×

Choose kilograms.

kilogram overweight 1 kg.

25 10 + 1 = 251 kg.

Total mass 251 kg.

（1）|5-（-2）|=7

2) According to the number line, all integers between 5 and -2 can satisfy the sum of the distances from the point represented by x to 5 and -2 to be 7

So x=-2,-1,0,1,2,3,4,5(3)|x-3|+|x-6|There is a minimum.

x-3|+|x-6|The minimum value is 6

Because |x-3|+|x-6|Represents the sum of the distances between two points on the number line from a point x to 3 and 6 on the number line.

According to the number line, when x takes all the numbers between 3 and 6, the distance is the smallest, and the minimum is 6-3=3

5-（-2）=5+2=7

The absolute value of a positive number is itself.

2, x between -2 and 5 can give the sum of their distances 73, there is a minimum, between 3 and 6, the minimum is 3

Hope you find these helpful, please ask if you have any questions about the answers! If you agree, please choose a satisfactory answer in time, your approval is the motivation for me to help others Thank you!

(2) -2 x 5 (x is an integer).

3) There is a minimum value of 3

Answer: The absolute value of a positive number b and 0 is equal to itself, so the absolute value of a rational number is equal to itself, and this number must be a non-negative number.