How to Multiply a 2 Digit Number by a 1 Digit Number with Step by Step Examples
Multiplication or repeated addition is an operation through which we can add things up in a fast manner. Multiplication is done between two numbers. The numbers can be one digit or two digits or three digits. Single-digit multiplication worksheets will help you better understand multiplication.
What are 1-Digit Numbers?
The number which represents a single digit or a single number, that number is said to be a 1-digit number. There are nine one-digit numbers from 0 to 9. The smallest one-digit number is 0 and the largest one-digit number is 9.
1-Digit Numbers
What are 2-Digit Numbers?
A two-digit number is formed by using two digits from 0 to 9. This 2-digit number starts from 10 and ends at 99. The smallest two-digit number is 10 and the largest two-digit number is 99.
2-Digit Numbers
Multiplication of 1-Digit by 1-Digit Number
Multiplication of numbers is done by using the multiplication symbol which is a cross. The number written before the cross is called a multiplicand and the number written after is multiplied. Multiplication of 1 digit number by 1 digit number is similar to the multiplicative tables that we learnt. For example, multiply 4 by 2. Here, 4 is the multiplicand and 2 is the multiplier which gives the result as 8.
Multiplication of 2-Digit by 1-Digit Number
Let us consider an example of 2-digit by 1-digit multiplication with no regrouping. Here, no grouping means that during multiplication, there would not be any carryover. Multiply 23 by 2. For multiplying a 2-digit by a 1-digit number, follow the following steps:
Step One: Write the largest number or the multiplicand on the top side and one digit number or the multiplier on the bottom as shown.
Step One of Example
Step Two: Multiplying each number on the top by the bottom one-digit number, we get the result as shown in the below image.
Step Two of Example
Step Three: The answer which will come is the product of the number.
Step Three of Example
2-Digit by 1-Digit Multiplication Worksheets
1. Multiply 43 by 3.
Ans: Step One: Write the multiplicand and the multiplier.
Step Two: multiply each digit of the multiplicand by the multiplier.
Step Three: The result obtained after multiplication is the product.
Product of 43 by 3 is 129
2. Find the product of 60 and 9.
Ans: Step One: Write the multiplicand and the multiplier.
Step Two: Multiply each digit of the multiplicand by the multiplier.
Step Three: The result obtained after multiplication is the product.
The Product of 60 by 9 is 540
3. If 91 and 2 are multiplied by each other, then what will be the answer?
Ans: Step One: Write the multiplicand and the multiplier.
Step Two: Multiply each digit of the multiplicand by the multiplier.
Step Three: The result obtained after multiplication is the product.
The Answer to Multiplying 91 by 2 will be 182
Conclusion
Multiplication is a mathematical operation that provides the fundamental concept of repeated addition of the same integer. In our daily lives, we frequently employ multiplication. For example, we may calculate the price of things based on the rate per amount, discover the proper quantity of an ingredient to use in cooking, calculate the value of numerous items when the value of one item is known and so on.
FAQs on Multiplying 2 Digit Number by 1 Digit Number Explained Clearly
1. What is multiplying a 2 digit number by a 1 digit number?
Multiplying a 2 digit number by a 1 digit number means finding the product when a number between 10 and 99 is multiplied by a number between 1 and 9. This is done using place value or the standard multiplication method.
- A 2 digit number has tens and ones (for example, 34 = 3 tens and 4 ones).
- You multiply both the tens and ones by the 1 digit number.
- The final answer is called the product.
2. How do you multiply a 2 digit number by a 1 digit number step by step?
To multiply a 2 digit number by a 1 digit number, multiply the ones first, then the tens, and add the results if needed. Follow these steps:
- Step 1: Multiply the ones digit.
- Step 2: Regroup (carry) if the product is 10 or more.
- Step 3: Multiply the tens digit.
- Step 4: Add any carried value.
- 6 × 3 = 18 (write 8, carry 1)
- 4 × 3 = 12, plus 1 = 13
3. What is the standard algorithm for multiplying 2 digit by 1 digit numbers?
The standard algorithm for multiplying 2 digit by 1 digit numbers involves multiplying each digit by the 1 digit number from right to left and carrying when necessary. Arrange the numbers vertically:
- Write the 2 digit number on top.
- Write the 1 digit number below it.
- Multiply starting from the ones place.
- Carry over if the product exceeds 9.
27
× 4
6 × 4 = 24 (write 4, carry 2)
2 × 4 = 8, plus 2 = 10
Product = 108.
4. Can you give an example of multiplying a 2 digit number by a 1 digit number?
An example of multiplying a 2 digit number by a 1 digit number is 35 × 4 = 140. Here’s how:
- 5 × 4 = 20 (write 0, carry 2)
- 3 × 4 = 12
- 12 + 2 = 14
5. Why do we carry over when multiplying 2 digit numbers by 1 digit numbers?
We carry over in multiplication when a product in one place value is 10 or more and needs to be added to the next place value. This is called regrouping.
- If 7 × 8 = 56, write 6 in the ones place.
- Carry the 5 (which represents 50) to the tens place.
6. What is the place value method for multiplying 2 digit by 1 digit numbers?
The place value method multiplies the tens and ones separately and then adds the partial products. Break the number apart:
- Example: 23 × 5
- 23 = 20 + 3
- 20 × 5 = 100
- 3 × 5 = 15
- Add: 100 + 15 = 115
7. What are common mistakes when multiplying a 2 digit number by a 1 digit number?
Common mistakes when multiplying 2 digit by 1 digit numbers include forgetting to carry and misplacing digits. Watch out for:
- Not regrouping when the product is greater than 9.
- Adding the carried number incorrectly.
- Writing digits in the wrong place value column.
8. How do you multiply without regrouping?
You multiply without regrouping when each digit multiplied gives a product less than 10. In this case, no carrying is needed.
- Example: 21 × 3
- 1 × 3 = 3
- 2 × 3 = 6
9. How can you check your answer when multiplying 2 digit by 1 digit numbers?
You can check your multiplication answer by using the inverse operation, which is division. Divide the product by the 1 digit number.
- Example: 48 × 3 = 144
- Check: 144 ÷ 3 = 48
10. Where is multiplying a 2 digit number by a 1 digit number used in real life?
Multiplying a 2 digit number by a 1 digit number is used in everyday calculations like shopping, grouping, and measuring quantities. Examples include:
- Buying 4 items that cost 25 each: 25 × 4 = 100
- Arranging 6 rows of 18 chairs: 18 × 6 = 108
