How do you multiply a 4-digit number by a 2-digit number?

When multiplying a 4-digit number by a 2-digit number, there are a few steps you need to follow. Let's use the example of multiplying 2764 by 37.

The first step is to line up the numbers vertically, with the 4-digit number on top and the 2-digit number below. In this case, it would look like:

+ 2764

x 37

Next, you start by multiplying the ones place of the 4-digit number by each digit of the 2-digit number. In this example, you multiply 4 by 7, which equals 28. Write down the 8 below the line and carry over the 2 to the next column.

x 37

--------

8

Next, you multiply the tens place of the 4-digit number by each digit of the 2-digit number. In this case, you multiply 6 by 7, which equals 42. Add the 2 that was carried over from the previous step, making it 44. Write down the 4 below the line and carry over the 4 to the next column.

44

Now, you multiply the hundreds place of the 4-digit number by each digit of the 2-digit number. In this example, you multiply 7 by 7, which equals 49. Add the 4 that was carried over from the previous step, making it 53. Write down the 3 below the line and carry over the 5 to the next column.

353

Lastly, you multiply the thousands place of the 4-digit number by each digit of the 2-digit number. In this case, you multiply 2 by 7, which equals 14. Add the 5 that was carried over from the previous step, making it 19. Write down the 9 below the line.

9354

So, 2764 multiplied by 37 equals 9354. This process can be repeated for any 4-digit number multiplied by a 2-digit number. Just remember to carry over any remainders in each column and write down the results in the correct places.

How do you multiply 4-digit numbers by 2-digit numbers?

In order to multiply 4-digit numbers by 2-digit numbers, you need to follow a specific process. First, you should write down the two numbers one below the other, aligning the digits according to their place value. For example, if you want to multiply 2456 by 37, you would write it as:

2456

× 37

Next, you start by multiplying the ones place digit of the bottom number (7) by each digit of the top number and writing down the results under each corresponding digit. In this case, you would multiply 7 by 6, 5, 4, and 2, and write the results as:

6

5

4

2

Afterwards, you multiply the tens place digit of the bottom number (3) by each digit of the top number, but this time you shift one place to the left. You also need to add a zero to the right of the previous results to maintain the alignment. Continuing with the example, you would multiply 3 by 6, 5, 4, and 2, and write the results as:

2

× 3

0

After multiplying the tens place digit, you need to add the results obtained in each column. Starting from the right, you add up each column, carrying any tens that result from the addition to the next column. In our example, the sum of the first column is 18, so we write down 8 and carry over the 1 above the tens place digit. The sum of the second column is 17 plus the carried over 1, resulting in 18, so we write down 8 and carry over the 1 above the hundreds place digit. Finally, the sum of the third column, considering the carried over digit, is 9. So, the final result is:

6

5

4

1 4 5 2

Therefore, when you multiply 2456 by 37, the product is 1452.

How do you divide a 4-digit number by a 2-digit number?

When dividing a 4-digit number by a 2-digit number, there are a few steps to follow:

1. First, set up the division problem by writing the 4-digit number as the dividend and the 2-digit number as the divisor. For example, let's say we want to divide 4629 by 32.
2. Next, check how many times the divisor can go into the first digit of the dividend. In this case, 32 can go into 4 zero times, so we move on to the next digit.
3. Now, bring down the next digit of the dividend, which is 6, and divide this new number (46) by the divisor (32) to determine how many times it can evenly fit. In this case, 32 goes into 46 once.
4. After that, subtract the result from the previous step from the partial dividend. In this case, subtracting 32 from 46 gives us 14.
5. Then, bring down the next digit of the dividend, which is 2, and add it to the remainder (14) to create a new partial dividend (142).
6. Repeat the above steps until you have gone through all the digits of the dividend. Keep bringing down the next digit and dividing it by the divisor until you reach the end of the dividend.
7. Finally, once you have gone through all the digits of the dividend, the quotient is the final result. In this case, 4629 divided by 32 equals 144 with a remainder of 17.

Remember, when dividing a 4-digit number by a 2-digit number, be sure to follow each step carefully and double-check your work for accuracy.

How do you multiply a number by a two digit number?

When multiplying a number by a two-digit number, there are a few steps to follow. First, you need to write the two-digit number below the number you want to multiply. Make sure to align the digits properly, so that the ones digit is directly below the ones digit of the number you want to multiply. For example, if you want to multiply 20 by 32, you would write it like this:

20
32
_______________

Next, you need to multiply each digit of the two-digit number by the number you want to multiply. Start with the ones digit of the two-digit number. In our example, it would be 2. Multiply it by the number you want to multiply, which is 20. So, 2 multiplied by 20 equals 40. Write the result below the line:

20
32
_______________
40

After that, you need to multiply the tens digit of the two-digit number by the number you want to multiply. In our example, the tens digit is 3. Multiply it by 20, which gives us 60. Write this result in the next line, but shifted one place to the left:

20
32
_______________
60
+____________

Now, you need to add the two results together. In our example, we have 40 and 60. Add them together to get 100:

20
32
_______________
60
+____________
100

The final result is 100.

How to do standard algorithm multiplication 4-digit by 2-digit?

Multiplication using the standard algorithm is a fundamental mathematical operation that involves multiplying two numbers using a step-by-step approach. In this case, we will focus on multiplying a 4-digit number by a 2-digit number.

To begin with, let's take an example: Multiply 3145 by 27. We will break down the process into several simple steps:

Step 1: Start by writing down the first number, 3145, and the second number, 27, below the first number, leaving some space in between.

Step 2: Begin the multiplication process by multiplying the ones digit of the second number (7) by each digit of the first number, starting from right to left. Write down each product below the line, one below the other, while aligning them vertically.

       4

       7 3 1 5

+         2 2 1 5

Step 3: With the ones digit complete, move on to the tens digit in the second number (2). Multiply it by each digit of the first number, starting from right to left, just as done in the previous step. Write down each product below the line, while aligning them vertically right under the previous row.

+         2 2 1 5

+          6 2 9 0

Step 4: Finally, add up all the products obtained in the previous steps to calculate the final result. Start from the rightmost column and move towards the left, carrying over any values if necessary.

       9 6 8 1 5

Hence, the product of 3145 multiplied by 27 is equal to 9,6815.

Standard algorithm multiplication allows us to efficiently multiply large numbers using a systematic approach. By breaking down the process into simple steps, we can easily obtain accurate results. Practice multiplication with different numbers to familiarize yourself with this technique, and you will soon excel at multiplying any 4-digit number by a 2-digit number!