Multiplying multi digit numbers by single digit numbers is a curriculum for grade three or grade four in primary school. The calculation method is to align the single digit numbers with the single digit numbers, multiply the single digit numbers by the single digit numbers, and then multiply each digit of the multi digit numbers by the single digit numbers. When the product of each digit is more than a few tens, advance to the first digit.
Calculation Method of Multiplying Multiple Digits by One Digit
It is to multiply each bit of single digit number and multi digit number, and then add the results to get the final product.
For example, calculate the result of 345 times 6: first, multiply 6 and 5 to get 30, and write the result in the ones; Then, multiply 6 and 4 to get 24, and write the result in ten digits; Finally, multiply 6 and 3 to get 18, and write the result in hundreds; Add the three results, that is, 30+240+180=450, so the result of 345 times 6 is 450.
It can be calculated in column vertical form, which is more intuitive and easy to understand.
In the column vertical form, write a single digit at the top and each digit of a multi digit number at the bottom, and then multiply and add bit by bit to get the final product.
This method is suitable for multiplication of any number of digits, and can help us better understand the principle of multiplication.
What are the methods for calculating the multiplication of multi digit numbers by single digit numbers
Use vertical multiplication: vertical multiplication is one of the most basic and commonly used multiplication methods. It can help you multiply bit by bit, from the lowest bit to the highest bit, so as to ensure that the calculation of each bit is correct.
Use the distribution law: the distribution law is a common multiplication technique. It can divide multiple digit numbers by single digit numbers into multiple single digit multiplication, and then add them together to avoid repeated calculations.
Use fast multiplication tables: fast multiplication tables are a technique for memorizing multiplication tables. It can help you quickly calculate the product of multiple digits multiplied by single digits, just remember the result of single digit multiplication.
Use the combination of vertical multiplication and distribution law: the combination of vertical multiplication and distribution law will allow you to calculate the product of multiple digits multiplied by single digits more quickly. First, use vertical multiplication to calculate the product of each bit, and then use the distribution law to add them.
Quick calculation skills of multiplying multi digit numbers by single digit numbers
When the multiplier is 2, enter 1 when the number is 5; When the multiplier is 3, the system will go beyond 3 to 1 and beyond 6 to 2; When the multiplier is 4, enter 1 at full 25, enter 2 at full 50, enter 3 at full 75; When the multiplier is 5, full 2 into 1, full 4 into 2, full 6 into 3, full 8 into 4; When the multiplier is 6, 16 to 1, 3 to 2, 5 to 3, 6 to 4, and 83 to 5; When the multiplier is 7, if it exceeds 142857, it will enter 1;
Over 285714 into 2, over 428571 into 3, over 571428 into 4, over 714285 into 5, over 857142 into 6; When the multiplier is 8, it will enter 1 at full 125, 2 at full 25, 3 at full 375, 4 at full 5, 5 at full 625, 6 at full 75, and 7 at full 875; When the multiplier is 9, the number exceeds 1, the number exceeds 2.