700 is a three-digit number, its single digit, ten digits are all 0, and the hundred digits are 7. Because both one digit and ten digit are 0, it is the smallest percentile of seven digits. 700x110 = 70,700 * * There are 7010.
Elementary school math contest questions:
1. A group of people are going to travel. They take a minibus first. Each minibus can only take eight people, and the remaining seven people can't. Later, they took the bus instead, and each bus could take 40 people, leaving 3 people. What is the minimum number of people in this group?
Answer: Let this group of people be n, then the question can be transformed into:
n≡7 (mod 8)
n≡3 (mod 40)
By solving China residue theorem, we can get:
N ≡ 23 (type 40)
n=23+40k
Because of n>0, k≥ 1, and finally the number of people in this group is at least 63.
2. Substitution multiplication table: For any two positive integers A and B, define their substitution products as ab+ 1. For example, the alternating product of 5 and 6 is 56+ 1=3 1. Which of the following numbers can be all the elements in the alternative multiplication table?
A.3 1
B.20 1
C. 105
D.5 1 1
Answer: We found that if A and B are both odd numbers, then their substitution products must be even numbers, which cannot be expressed as ab+ 1. Therefore, in the substitution multiplication table, all the numbers that can become elements must be even or even minus 1. Among them, 5 1 1 in the d option is not even, nor is it even minus 1, so it cannot be expressed as ab+ 1. The answer is: a, b, C.
3. A small ball falls from the height of 100 meters, and the height of each bounce is half of the original height. Q: How many times did you land and the rebound height was less than 1 m?
Answer: Let the bouncing height of the ball at the nth landing be H, and the height of the ball at the nth landing be H, then h=H/2.
When the ball hits the ground for the nth time, its height is: h = (1/2) (n-1) *100.
When h is less than 1 m, that is, h/2 (n- 1) < 1 m, the solution is 2 (n- 1) > 100, so n >;; 7。
When n=8, the bouncing height of the ball is H/256, which is less than 1m, so when the ball lands for the eighth time, its bouncing height is less than1m..