"Use Calculator to Explore Laws" to understand larger numbers PPT courseware

Description

"Use Calculator to Explore Laws" to understand larger numbers PPT courseware

teaching objectives

1. Experience the process of using a calculator to calculate, explore and discover special mathematical operation rules.

2. Be able to use a calculator to explore and discover the rules of some special operations, and be able to think in an orderly manner and conduct inductive reasoning.

3. Feel the mystery of mathematical knowledge and stimulate the interest and desire to use calculators to explore mathematical laws.

Explore new knowledge

Calculate in the order given in the figure below.

Pick any three-digit number and calculate it again according to the above procedure to see the result.

Class summary

In conclusion

Choose any natural number and repeat the operation according to the rule of "divide by 2 for even numbers, multiply by 3 for odd numbers and add 1". The final result must be 1. This is the famous "Kakutani Conjecture". Also known as the "3n+1 conjecture".

Kakutani conjecture

The "Kakutani Conjecture" was proposed around the 1950s. It is said that this problem was first studied at Silangus University in the United States, so it is called the "Siraghus Conjecture" in the West. In the East, this problem is known as the "Kakutani Conjecture" after the Japanese mathematician Shizuo Kakutani who brought it to Japan.

practice

1. Randomly select four different numbers to form the largest four-digit number and the smallest four-digit number.

2. Use a calculator to calculate the following questions and see what the rules are for products.

15×15＝ 45×45＝

25×25＝ 55×55＝

35×35＝ 65×65＝

The rule of product: the tens and units digits of the product are the product of 5 times 5 "25"; the hundreds and thousands digits of the product are the product of "the number in the tens place plus 1" and then multiplied by itself.

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Update Time: 2024-11-24

This template belongs to Mathematics courseware Hebei Education Edition Fourth Grade Mathematics Volume 1 industry PPT template

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