To solve this problem, we'll follow these steps:
Let's perform the calculations:
Step 1: Multiply the ones digit:
Step 2: Multiply the tens digit, and align it in the tens place:
.
Since , we write in the tens place and carry over to the hundreds place.
Step 3: Multiply the hundreds digit, and include the carry-over:
Add the carry-over from the previous step:
Combine these results to form the final product:
The hundreds place is , the tens place is , and the ones place is , resulting in:
Therefore, the correct answer is . Looking at the options given, the correct choice is option 2.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Multiply the units digit:
Write 9 at the units place.
Carry over = 0 (since ).
Step 2: Multiply the tens digit:
Add the previous carry (0):
Total = 18.
Write 8 at the tens place and carry over 1.
Step 3: Multiply the hundreds digit:
Add the previous carry (1):
Total = 4.
Write 4 at the hundreds place.
The result of is:
Therefore, the solution to the problem is .
To solve this problem, let's perform the multiplication using the vertical multiplication method:
Combine all parts to find the final result: The product is .
Therefore, the solution to the problem is .
To solve the problem of multiplying 175 by 4, we proceed as follows:
Thus, the product of is .
Therefore, the correct answer is , which corresponds to choice 3.
To solve the problem of multiplying 462 by 4, we will follow these steps:
462
× 4
────
.
Write 8 under the units column, as there is no carryover.
.
Write 4 under the tens column, and carry over 2 to the hundreds column.
.
Add the carryover 2: .
Write 8 under the hundreds column and 1 in the thousands column.
The result will be read as follows from top to bottom in the columns:
1848
Therefore, the product of 462 and 4 is .
To solve the multiplication :
Step 1: Multiply the units digit.
. Write 2 in the units place.
Step 2: Multiply the tens digit.
. Write 8 in the tens place.
Step 3: Multiply the hundreds digit.
. Write 6 in the hundreds place.
Now, putting it all together, the product is .
The solution to is .
To solve the problem of multiplying the numbers and , we will perform vertical multiplication, focusing on each digit of the three-digit number:
Step 1: Multiply the unit digit of by .
The unit digit of is .
(carryover is 0).
Step 2: Multiply the tens digit of by .
The tens digit of is .
(write down and carry to the next column).
Step 3: Multiply the hundreds digit of by .
The hundreds digit of is . Including the carried over , we calculate plus equals (no further carryover is required).
Thus, the final step includes combining results: the hundreds place has , tens place , and the units place , leading to the solution.
Therefore, the solution to the problem is .
To solve this multiplication problem, we will use a step-by-step approach:
First, multiply the units digit, .
Next, multiply the tens digit, . Write below the line in the tens place and carry over to the hundreds place.
Then, multiply the hundreds digit, . Add the carried , giving .
Thus, the multiplications line up to give as the final product.
Therefore, the solution to the multiplication is .
To solve the multiplication problem , we'll follow these steps:
Let's break down the multiplication:
By combining these, the result of is .
The choices provided are:
The correct answer corresponds to Choice 2: .
Therefore, the solution to the problem is .
To solve this multiplication problem, we'll follow these steps:
Let's execute the steps:
Step 1: Start from the rightmost digit of 231, which is the units place (1). Multiply it by 7:
Step 2: Move to the tens digit, which is 3. Multiply it by 7 and add any carry-over. Since there was no carry from the first multiplication, we have:
Write 1 in the tens place and carry over 2 to the hundreds place.
Step 3: Multiply the hundreds digit, which is 2. Multiply by 7 and add the carry-over of 2:
Add the carry 2:
Write down the product from left to right: 16 (hundreds place), 1 (tens place), 7 (units place).
The full product is .
Therefore, the solution to the problem is .
To solve this problem, we'll follow these detailed steps:
Let's perform the calculations:
Therefore, the solution to the problem is .
To solve this multiplication problem, we will use the vertical (long) multiplication method:
Finally, combining all the partial products, we get :
Therefore, the multiplication of by gives us the product .
To solve the multiplication problem , we will perform vertical multiplication, carefully managing place values and carries.
Let's break down the process:
Constructing the final product from right to left, we have the value .
Therefore, the final solution to the multiplication problem is .
To solve the problem of multiplying a three-digit number by a one-digit number , let's use the vertical multiplication method.
Here are the steps:
Now, let's put together these individual calculations for the final sum:
- For units:
- For tens: , but considered as in terms of place value.
- For hundreds:
The total sum is .
Thus, the product of is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem asks us to multiply by . Set the numbers up such that is the multiplicand and is the multiplier.
Step 2: Let's multiply by each digit of , from right to left:
Step 3: Write down the resulting multiplication: .
Therefore, the solution to the multiplication problem is .
We will perform the multiplication of the numbers 146 and 7 using the vertical multiplication method:
Multiply 7 by 6 (units place):
Multiply 7 by 4 (tens place), add the carry over:
Multiply 7 by 1 (hundreds place), add the carry over:
Combine these to write out the full product:
Therefore, the solution to the problem is .
Let us now perform the multiplication step-by-step:
Therefore, the product of and is .
Thus, the correct answer is .
To solve the multiplication problem using vertical multiplication, follow these steps:
The sum of these values is 3786.
Thus, the product of and is .
The correct answer, as per the answer choices, is 3786.
To solve this problem, we will perform the multiplication step by step:
Combining these results gives us 4320. Thus, the product of 720 and 6 is .
Therefore, the solution to the problem is .
To solve this multiplication problem, we will use the vertical multiplication method:
Write down the results from each multiplication:
From the units place, we have 5.
From the tens place, considering the carry, we have 0 (as is written as 0 with carry 3).
From the hundreds place, we have .
Combining these, starting from the hundreds, tens, and units positions, gives us the final result of the multiplication: 3805.
Therefore, the product of 761 and 5 is .