How do you do 2-digit by 1 digit multiplication?

2-digit by 1 digit multiplication is a mathematical operation that involves multiplying a two-digit number with a single-digit number. It is an essential skill to master in order to solve more complex mathematical problems.

To perform 2-digits by 1-digit multiplication, you need to follow a step-by-step process. Let's take the example of multiplying 34 by 5.

First, you start by multiplying the ones place digit of the two-digit number (4 in this case) with the single-digit number. In our example, 4 multiplied by 5 equals 20. You write down the 0 in the ones place and carry over the 2 to the tens place.

Next, you multiply the tens place digit of the two-digit number (3 in this case) with the single-digit number. In our example, 3 multiplied by 5 equals 15. Since we carried over a 2 from the previous step, we add 2 to 15, which gives us 17.

Finally, you write down the result of the previous step (17 in our example) below the ones place digit in the first step (0 in our example). This gives us our final answer of 170.

It's important to note that practice and memorization of the multiplication table are key to becoming proficient in 2-digit by 1-digit multiplication. Regularly solving exercises and using tools like flashcards can help reinforce this skill.

In conclusion, the process of doing 2-digit by 1-digit multiplication involves multiplying the ones and tens place digits separately and then adding the results together. With practice, anyone can become proficient in this mathematical operation.

How do you multiply numbers by one digit?

In mathematics, multiplication is an operation that combines two or more quantities to find their product. When multiplying numbers by one digit, there are several techniques to follow.

Firstly, let's consider whole numbers. To multiply a whole number by a single digit, we can use the traditional method of long multiplication. This involves breaking down the number into its place values and multiplying each digit by the single digit separately. We start by multiplying the single digit by the rightmost digit of the whole number, then move leftwards, carrying over any remainders to the next calculation.

For example, if we want to multiply 567 by 3, we would first multiply 3 by 7, which equals 21. We write down the 1 and carry over the 2 to the next calculation. Next, we multiply 3 by 6 and add the carried over 2, giving us 20. Finally, we multiply 3 by 5 and add the carried over 2, resulting in 17. Therefore, the product of 567 and 3 is 1701.

Another technique for multiplying fractions by a single digit is to convert the fraction into a decimal. Once the fraction is written as a decimal, we can simply multiply it by the single digit, treating it as a whole number. Finally, we can convert the result back into a fraction if needed.

For example, if we want to multiply 1/4 by 5, we first convert 1/4 into a decimal, which is 0.25. Then, we multiply 0.25 by 5, resulting in 1.25. If we need to express the answer as a fraction again, we can write it as 5/4.

In conclusion, when multiplying numbers by one digit, whether they are whole numbers or fractions, we can use different techniques such as long multiplication or converting fractions into decimals. These methods allow us to find the product efficiently and accurately.

How to do simple 2-digit multiplication?

In order to perform simple 2-digit multiplication, you need to follow a few steps:

1. Start by lining up the two numbers. Place the larger number on top and the smaller number right underneath it. Make sure the ones digit (the rightmost digit) of the bottom number is directly below the ones digit of the top number.
2. Multiply the ones digit of the top number by the ones digit of the bottom number. Write the result under the line, in the rightmost position.
3. Multiply the ones digit of the top number by the tens digit of the bottom number. Write the result under the line, shifted one position to the left (next to the first result). If the result is greater than 9, write only the ones digit and carry the tens digit to the next step.
4. Multiply the tens digit of the top number by the ones digit of the bottom number. Write the result under the line, shifted one position to the left (next to the previous result). If the result is greater than 9, write only the ones digit and carry the tens digit to the next step.
5. Multiply the tens digit of the top number by the tens digit of the bottom number. Write the result under the line, shifted two positions to the left (next to the previous result).
6. Add up all the results you wrote under the line. If there were any carried digits from previous steps, make sure to include them in this final sum.

You have successfully completed a simple 2-digit multiplication! Practice this method regularly to improve your multiplication skills.

Remember, practice makes perfect!

How to do 2-digit divided by 1 digit?

Dividing a 2-digit number by a 1-digit number is a basic arithmetic operation. Follow the steps below to perform this division:

Step 1: Write the division problem in the standard form, with the dividend (the number being divided) on top and the divisor (the number dividing the other number) on the bottom.

Step 2: Begin the division process by dividing the first digit of the dividend by the divisor. If the first digit is smaller than the divisor, consider the first two digits as a whole.

Step 3: Write the quotient (the answer to this division) above the line, just above the digit(s) being divided.

Step 4: Multiply the quotient by the divisor and write the result under the dividend. Subtract this result from the digit(s) above it to get a new remainder.

Step 5: Bring down the next digit of the dividend. This new number becomes the new dividend.

Step 6: Repeat steps 2 to 5 until you have no more digits left in the dividend to bring down.

Step 7: Write the final answer as a whole number quotient and remainder, if applicable. The quotient is the number of times the divisor can be divided into the dividend, and the remainder is the left-over amount.

By following these steps, you can easily perform division of a 2-digit number by a 1-digit number.

How do you multiply a 2-digit by 1 digit using the distributive law?

The distributive law is a mathematical principle that allows us to break down a multiplication problem into smaller, more manageable parts. This law is particularly useful when multiplying a 2-digit number by a 1-digit number. Let's explore how it works.

First, let's take an example to better understand the concept. Let's say we want to multiply 23 by 4 using the distributive law. The distributive law states that we can break down this multiplication into two parts: multiplying the tens digit of the 2-digit number by the 1-digit number, and then multiplying the ones digit of the 2-digit number by the 1-digit number.

So, in our example, we would first multiply 20 (the tens digit of 23) by 4. This gives us 80. Then, we would multiply 3 (the ones digit of 23) by 4, which gives us 12. Finally, we add these two results together to get our final answer: 80 + 12 = 92.

The distributive law can be applied to any 2-digit number multiplied by a 1-digit number. Let's take another example, 56 multiplied by 3. To use the distributive law, we would first multiply 50 (the tens digit of 56) by 3, giving us 150. Then, we multiply 6 (the ones digit of 56) by 3, giving us 18. Adding these two results together, we get 150 + 18 = 168.

By using the distributive law, we can simplify the process of multiplying 2-digit numbers by 1-digit numbers. It allows us to break down the problem into smaller parts, making it easier to calculate mentally or on paper. Remember, to apply the distributive law, simply multiply the tens digit by the 1-digit number and add it to the product of the ones digit multiplied by the 1-digit number.