Give me some simple addition and subtraction of rational numbers and more points Thank you

Solution: Original = 3 +4 (-1 5) Solution: Original = 18 - 3) (1 3) Solution: Original Recipe = 9 (11 9) Solution: Original Formula = 8 +9 (2).

Solution: Original recipe = 100 4-3

Solution: Original = 36 (1 6) 2

Solution: Original = 0

Solution: Original = 4 9 +6

Solution: Primitive=(-3 4) 8 1 3) Solution: Primitive=(-8) -26).

0-2 3 (-4) 3-1 8 Solution: Original recipe = 0-8 (-64)-1 8

0 br p>(-2) 3 2 (-2) 2 solution: original = (-8) (1 2) -8 5) 2 4 = (-4) -64 25) 4

116/25 br p>（-3 / 2）×（2 / 3）^ 2-2]

Solution: Original=(-3 2) (4 9-2) Solution: Original=(9-25) (2).

Workaround: Original recipe = 16 (-8)-1 2 Solution: Original = (9-25) 2).

Workaround: Original Recipe = 3 +4 (-1 5) Resolution: Original Recipe = 18 - 3) (1 3) Solution: Original Recipe = 9 (-11 9) Solution: Original Recipe = 8 +9 (-2).

Workaround: Original recipe = 100 4-3

Workaround: Original Recipe = 36 (1 6) 2 = 36 (1 36) Resolution: Original Recipe = 0

br /> 4×（-3）^ 2 +6

Workaround: Original recipe = 4 9 +6

Solution: Original = (-3 4) (8 +1 3) Solution: Original formula = (-8) -26).

Solution: Original formula = 0 - 8 (-64)-1 8 Solution: Original formula = (-8) (1 2) -8 5) 2 4- 116 out of 25.

Solution: Original = (-3 2) (4 9 -2)(-3 2), 14 9) br > = 7 3

Conceptual analysis of "Addition and Subtraction of Rational Numbers".

1) Rational number addition rule:

That is, add two numbers with the same sign, take the same symbol, and add the absolute value. , add two numbers with unequal absolute values, take the additive sign with the larger absolute value, and subtract the smaller absolute value with the larger absolute value; Two numbers that are opposite to each other are added to give 0.

Add a number to 0 and still get this number.

2) The law of subtraction of rational numbers:

That is, subtracting a number is equal to adding the opposite of that number. The subtraction of rational numbers can be converted to addition.

Idea analysis] as long as you keep the various algorithms in mind.

And you can use it skillfully.

Do more exercises.

Problem solving process] 1. When the addition and subtraction of rational numbers is carried out, the subtraction can be converted into addition according to the subtraction law of rational numbers, which unifies the addition and subtraction of rational numbers into a single addition operation. At this point, it becomes the sum of several positive and negative numbers.

2. When converting mixed operations into addition operations, write them in the form of algebra sum, and pay attention to the two different readings of algebra and form.

3. The form of omitting the sum of parentheses can be regarded as the addition operation of rational numbers. Therefore, the addition law can be used to simplify the calculation, and attention should be paid to the rationality of the operation.

The addition and subtraction of rational numbers is a copy of the four operations, that is, it is the same as the four operations.

All empty spaces are spaces.

1. Fill in the blanks (3 15 = 45).

1. 100 kg of rice transported into the country is recorded as 100 kg, and 50 kg of rice is transported as the rice shipped out.

2. The rise in temperature is recorded as positive, then the rise of 5 means .

3. The three elements of the number axis are the origin, the positive direction, and .

4. The distance between two points representing 2 and 3 on the number line is .

5. The largest negative integer in rational numbers is , and the smallest non-negative number .

The opposite of 3 is , and the opposite of 0 is .

7. An integer greater than 3 but not greater than 2 is .

8. Compare size: 0, 5 6.

9. The absolute value of is equal to 5; The absolute value is equal to the number of its own .

10. Simplify: 2 3 = , 2) = .

2. Multiple choice questions: (4 3 = 12).

1. Which of the following statements is true (

a has the smallest natural number and also has the smallest integer .

b does not have the smallest positive number, but there is the smallest positive integer.

c does not have the smallest negative number, but it has the smallest positive number.

d 0 is the smallest integer.

2. The following judgments are incorrect (

aThe absolute value of a positive number must be positive.

b The absolute value of a negative number is equal to its opposite, i.e. it is a positive number.

c The absolute value of any rational number is not negative.

The absolute value of any rational number is positive.

3. The following two numbers are opposite to each other (

A 1 8 with b1 3 with

c 6 with ( 6)d with

3. Fill in the following numbers in the corresponding curly brackets (17), 0, 325, 1 3, 2003, 200%, 22 7, 10,000.

Set of positive numbers. Set of negative numbers.

Set of natural numbers. Set of negative integers.

4. Calculation (4 2 + 6 2 = 20).

5. Add " " in front of the numbers 2, 3, 4, 5, 6, 7, 8, 9 is the sum of them is 10, please think of multiple schemes.

1. Fill-in-the-blank questions (24 points in total, 2 points for each blank).

The reciprocal of 1 is the opposite of the absolute is

2 If|x|+|y|=0, then x= y=

3 If|a|+a=2a, then a

4 If|a|=|b|, then A and B are

5 If a and b are both to the left of the origin, then (-a)+(b) 0.

6 If m<0,n 0,|m|＞|n|, then m+n 0.

7 Known a 0, calculate|a|+。

8 Known |a|=3,|b|=, calculate a+b=

9 Use the " " or " " sign and put a, |a|，-a|Connect

2. True/False Questions (20 points in total, 2 points for each question).

1 If two rational numbers are subtracted, the subtracted number must be greater than the subtraction number. （

2 When two rational numbers are subtracted, the difference is positive, and the subtracted number must be greater than the subtraction number. （

3 The difference between zero and any one number is negative. （

4 If a+b 0, then a and b have different signs. （

5 if|a|b, then a+b 0. （

6 If|a|a, then a is any rational number. （

7 If b 0, then a, a-b, a+b, a-b is the largest, and a+b is the smallest. （

8 The difference between two rational numbers with equal absolute values is zero. （

9 A number with a negative sign must be a negative number. （

10 Numbers that are opposite to each other are numbers that are opposite in sign. （

3. Multiple choice questions (10 points in total, 2 points for each question).

1 Two rational numbers are added together, and if the sum is smaller than any of them, then the two additions ( ).

a) all positive numbers (b) all negative numbers (c) opposite numbers (d) different signs.

2 The sum of a rational number and its absolute value ( ).

a) can be negative (b) must be positive.

c) It can be positive or negative, and (d) It cannot be negative.

3 Let a and b be two unequal rational numbers, if a+b a, then the position of the point represented by a and b on the number line is ( ).

a） （b）

c） （d）

4 If the sum of two non-zero rational numbers is positive, then the two rational numbers are ( ).

a) all are positive (b) at least one is positive.

c) Positive numbers are greater than negative numbers (d) Positive numbers are greater than negative numbers in absolute terms, or both are positive numbers.

5 If a,b are rational numbers, and a+b=0, then ( ).

a) A and B are both 0 (b) A and B, one of which is zero.

c) A and b are inverses of each other, and (d) A and b are reciprocal of each other.

5. Calculation (36 points in total, 5 points for each question).

9 Knowing a b, try to compare|a|with |b|size.

Addition and subtraction exercises for rational numbers.

1. True/False questions (1 point for each question, 4 points in total).

1 The opposite of a number must be smaller than the original. （

2.If two rational numbers are not equal, then the absolute values of these two rational numbers are also not equal. （

4.If a+b=0, then a,b are inverse numbers to each other. (

2. Multiple choice questions (1 point for each question, 6 points in total).

1 The opposite number is the number of itself which is ( ) a 1 b. -1 c. 0 d.does not exist.

2 In the following statement, the correct one is ( ).

a.There is no such thing as the smallest natural number bThere is no such thing as the smallest positive rational number.

c.There is the largest positive rational number dThere is a minimum negative rational number.

3 If the sum of two numbers is positive, then these two numbers ( ).

a.are all positive numbers bOne positive and one negative care all negative dAt least one is a positive number.

4. The distance between the two points of the number 8 and 2 represented on the number line is (

a、6 b、10 c、-10 d-6

5. The absolute value of a rational number is equal to itself, and this number is (

a, positive b, non-negative c, zero d, negative.

3. Fill-in-the-blank questions (1 point per blank, 32 points in total).

1.The opposite number is 2 and the number whose absolute value is equal to 2 is

3.The largest negative integer is the smallest positive integer is

4.There are integers with an absolute value less than 5; There are negative integers with absolute values less than 6.

5.The three elements of the number line are

6.If a rise of 6 meters is recorded as 6 meters, then 8 meters is denoted .

7.The two numbers represented on the number line are always greater than the number of .

8.The opposite of 0 is 4, and the opposite of 0 is , and 4) is .

9.The smallest number with absolute value is , and the absolute value of 3 is .

10 The number represented by a point of 1 unit length on the number axis at a distance from a point representing 2.

In rational numbers, the largest negative integer is , the smallest positive integer is , the smallest non-negative integer is , and the smallest non-negative number is .

11 Insert the following numbers in the corresponding curly brackets:

6,,7,0,,200%,30,000,

Positive integer sets, negative integer sets, fraction sets, natural numbers sets, negative sets, positive sets.

4. Calculation questions.

2 3+-1 6 is the negative parentheses, 2 3+1 6 inverted parentheses are -5 6.

1. Addition of rational numbers.

1) The addition rule of rational numbers: add two numbers with the same sign, take the same symbol, and add the absolute value; Add two numbers with unequal absolute values, take the sign with the larger absolute value, and subtract the smaller absolute value from the larger absolute value; Two numbers that are opposite to each other are added to give 0; Add a number to 0 and still get this number.

2) The law of operation for the addition of rational numbers:

Commutative law of addition : a+b=b+a; Associative law of addition: ( a+b ) c = a + b +c).

The basic idea of simple operations with the law of addition is to first add numbers that are opposite to each other; Add the fractions with the same denominator first; Add numbers with the same sign first; Add the numbers that add to the whole number first.

2. Subtraction of rational numbers.

1) The law of subtraction of rational numbers: subtracting a number is equal to adding the opposite of this number.

2) Common mistakes in the subtraction of rational numbers: taking care of one and losing the other, and not taking into account the symbol of the result; still use the habit of elementary school calculation, and do not change subtraction into addition; Only the operator sign is changed, and the symbol of the subtraction is not changed, and the subtraction is not changed to the opposite number.

3) Mixed operation steps of addition and subtraction of rational numbers: first turn subtraction into addition, and then operate according to the addition rule of rational numbers;

Positive is positive negative negative positive to positive and negative positive to positive and negative.

1.-27 Subtracting a number is equal to adding the opposite of the number, and then reversing the sum.

2. -2—（-20）+（3）-d=10

2+20+（-3）-d=10

18+（-3）-d=10

15-d=10

d = m - 1200 m and 300 m left, note that it is positive, plus 1100 m, it is 1400 m, minus 1700 m, it is 300 m below sea level, A: 300 m below sea level.