1. Fill in the blank: (2 points for each blank, ***42 points)
1. If 30 tons of goods are recorded as +30 tons, 50 tons are recorded as shipped;
The reciprocal of 2 and 3 is _ _ _ _ _, and the reciprocal of _ _ _ _ is.
3. Numbers that are neither positive nor negative are;
4. The reciprocal of-2 is, and the number whose absolute value is equal to 5 is;
5. Calculation:-3+1=; ; ;
; ;
6. According to the stated formula: (1)-6 plus the product of -3 and 2,
(2) Divide the sum of -2 and 3 by-3;
7. Comparison size: +| | ;
8. Fill in the appropriate numbers on the horizontal line according to certain rules.
1,- , ,- , ,
9. There is an integer whose absolute value is greater than 1 less than 4, and the sum is and the product is;
10. Specify the graphic representation operation a-b+c, and the graphic representation operation.
Then+= _ _ _ _ _ _
Second, multiple-choice questions (3 points for each question, ***30 points)
1 1, given that the indoor temperature is 3℃ and the outdoor temperature is℃, the indoor temperature is higher than the outdoor temperature ().
(A) 6℃ (B) -6℃ (C) 0℃ (D) 3℃
12. Among the following logarithms, the opposite number is ().
A. And B. And
C. and D. and
13, in the figure below, the number axis is ().
A.B.
- 1 0 1 1
C.D.
- 1 0 1 - 1 0 1
14. The correct symbol in the following calculation results is ().
A, B,
C, D,
15. The reciprocal of a number is equal to the number itself, and the number is ().
(A) 1 (B) (C) 1 or (D)0.
16. Among the following calculation problems, the result is zero ().
(A) (B)
(C) (D)
17. Assuming that A and B are reciprocal, then ()
(A)A–B = 0(B)A+B = 0(C)A =(D)A-| B | = 0
18. The two points m and n on the number axis represent -5 and -2 respectively, so the distance between the two points m and n is ().
A.-5+(-2) B 、-5-(-2)
c 、|-5+(-2)| D 、|-2-(-5)|
19. The following statement is true ()
(a) The absolute value of a number must be positive; Any positive number must be greater than its reciprocal.
(C)-a must be a negative number (d) When zero is multiplied by any number, the product must be zero.
20. This picture is an enlarged view of a square box. If the three squares A, B and C are filled with appropriate numbers respectively, so that after they are folded into squares, the two numbers on the opposite faces are opposite to each other, then the three numbers filled in the three squares A, B and C are () in turn.
1，-2，0 (B) 0，-2， 1
0， 1 (D)
2 1. Calculate the following questions: (5 points for each small question, ***20 points)
( 1) (2) 12—(— 18)+(—7)— 15
(3) (4) -2 +|5-8|+24÷(-3)
22.(4 points) Fill in the following figures in the corresponding brackets indicating the set:
(1) positive integer set {…}
(2) Integer set {…}
(3) Positive Fraction Set {…}
(4) Negative score set {…}
23. Represent the following numbers on the number axis, and then use "
+2,—(+4),+(— 1),|—3|,— 1.5
24.(7 points) During the "Eleventh" Golden Week and the 7-day holiday, the daily number of tourists in Nanjing Sun Yat-sen Mausoleum Scenic Area changed as follows (a positive number means more people than the previous day, and a negative number means less people than the previous day):
Date 1 2 3 4 5 6 7
Population change unit: per ten thousand people1.60.80.4-0.4-0.80.2-1.2.
(1) Please decide which of the seven days has the most tourists. When is the least? There are thousands of them different.
(2) If the number of tourists on September 30th is 20,000, what is the total number of tourists in these seven days?
25.(6 points) If the positions of rational numbers A, B and C on the number axis are as shown in the figure, where 0 is the origin,
|b|=|c| .
(1) Use "
(2) What is the value of B+C?
(3) judge the symbols of a+b and a+C.
26. Let A be the sum of all integers whose absolute value is greater than 1 less than 5, and B be the sum of non-negative integers not greater than 2, and find the value of A, B and B-A ... (6 points).
27. (Additional question: 5 points) There is a video game of "guessing idioms". The rule is that every two people participate in the game, the host shows one of them (a) a sign with idioms written on it, while the other (b) can't see the idioms on the sign. Now please say the idiom on the brand with a sentence (the words contained in the idiom can't appear in this sentence) or an action, and let B guess the idiom according to A's words or actions. Now let's rewrite the idiom in this game into two integers "-1 and 1", and let A tell B these two numbers with a sentence, a formula and a figure. If you were A, how would you tell B these two integers? (Name at least two names)
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