Division is a mathematical operation that helps us divide a number into equal parts. In this article, we will focus on 2-digit by 1-digit division, which means dividing a two-digit number by a single-digit number. This type of division helps us solve real-life problems and develop our arithmetic skills.
Table of Contents
How to Divide a 2-Digit Number by a 1-Digit Number
To divide a two-digit number by a single-digit number, follow these steps:
1. Start by looking at the leftmost digit of the dividend (the number being divided). Divide this digit by the divisor (the number we are dividing by).
2. Write down the quotient (the answer) above the division symbol.
3. Multiply the quotient by the divisor and write the product below the dividend.
4. Subtract the product from the current portion of the dividend.
5. Bring down the next digit from the dividend and continue the process until you have divided the entire number.
Example
Let’s take an example to understand this better. We have the number 56 as the dividend and 7 as the divisor.
1. We start with the leftmost digit of the dividend, which is 5. We divide 5 by 7, which gives us 0 as the quotient. Write down 0 above the division symbol.
2. Multiply 0 by 7 to get 0 and write it below the dividend.
3. Subtract 0 from 5, which gives us 5.
4. Bring down the next digit from the dividend, which is 6.
5. Now we have 56 as the new dividend. Again, divide 5 by 7, which gives us 0. Write down 0 next to the previous quotient.
6. Multiply 0 by 7 to get 0 and write it below the new dividend.
7. Subtract 0 from 6, which gives us 6.
8. Since we have no more digits to bring down, our final quotient is 80 and the remainder is 6.
Importance of 2-Digit By 1-Digit Division Worksheets
Practicing division through worksheets is an effective way to improve our math skills. 2-digit by 1-digit division worksheets provide us with ample opportunities to practice this specific type of division. By solving a variety of problems, we become more confident in our division abilities and develop a deeper understanding of the concept.
Tips for Solving 2-Digit By 1-Digit Division Problems
Here are some tips to help you solve 2-digit by 1-digit division problems more efficiently:
1. Familiarize yourself with the multiplication tables. Knowing the multiplication facts will make the division process quicker and easier.
2. Pay attention to place value. Understanding how each digit’s value changes when we divide helps us accurately solve division problems.
3. Practice mental math. Try to solve simpler division problems mentally to improve your speed and accuracy.
4. Use estimation. Estimating the quotient before performing the actual division can help you verify if your answer is reasonable.
In conclusion, 2-digit by 1-digit division is an essential skill that helps us solve mathematical problems and develop our arithmetic abilities. By practicing with division worksheets and following the steps mentioned, you can enhance your division skills and become more confident in solving division problems.
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