To solve this problem, follow these steps:
Let's work through each step:
Step 1: The given numbers are 72 and 20.
Step 2: We'll perform vertical multiplication by breaking down the problem into parts. Start with:
Step 3: Multiply 72 by each digit of 20 separately.
Now add the results:
- From : 0
- From : 1440
Adding these results gives:
.
Therefore, the solution to the problem is .
To solve the multiplication problem , we'll follow these steps using the vertical multiplication method:
Let's work through each step:
Step 1: Calculate .
- .
Step 2: Calculate .
- , and then shift one position to the left to get .
Step 3: Add both results.
- .
Thus, the solution to is .
To find the value of using vertical multiplication, follow these steps:
Therefore, the value of is .
To solve this problem, we'll perform the following steps using column multiplication:
Let's work through this step-by-step:
Step 1: Set up the multiplication vertically.
Step 2: Multiply the units digit of the bottom number (6) by the entire top number (64):
.
Step 3: Multiply the tens digit of the bottom number (1) by the entire top number (64) and remember to place a zero since this is in the tens place:
, shift by one place to get .
Step 4: Add the two partial products:
.
Therefore, the solution to the problem is .
To solve this problem, we will perform vertical multiplication of the numbers and .
First, write the numbers vertically:
Step 1: Multiply the units digit of (which is ) by each digit of :
The partial result is .
Step 2: Multiply the tens digit of (which is , but treat it as ) by each digit of :
The partial result is because we start from the tens place.
Step 3: Add the results from Step 1 and Step 2:
Therefore, the product of and is .
The solution is , which corresponds to choice .
To solve this problem, we'll follow these steps:
Let's work through each step:
Step 1: Arrange the numbers:
Step 2: Multiply the upper number by the units digit of the lower number (1):
Step 3: Multiply the upper number by the tens digit of the lower number (1) and remember to shift by one place (which represents multiplying by 10):
Step 4: Add the results from Steps 2 and 3:
Therefore, the product of 36 and 11 is , which corresponds to choice 2.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The numbers given are 20 and 21.
Step 2: We'll use the formula , which becomes .
To simplify the multiplication:
- Multiply each digit: and .
- Add the products together: .
Therefore, the solution to the problem is .
To solve this multiplication problem, we'll follow these steps:
Now, let's proceed with the steps in detail:
Step 1: Write the numbers vertically:
16
× 11
--------------------
Step 2: Multiply as follows:
- Multiply 16 by 1 (the units place of the lower number):
16
- Multiply 16 by 10 (the tens place of the lower number, written as 1 * 10):
160 (shifted one place to the left)
Step 3: Add both results. Here, aligning by place values is crucial:
16
+ 160
--------------------
176
Therefore, the product of 16 and 11 is .
To solve this problem, we'll perform vertical multiplication:
Therefore, the product of 32 and 19 is .
To find in this multiplication problem, we will multiply the numbers 31 and 17 step-by-step:
Write down the numbers as they would appear in vertical multiplication:
31 × 17 -----
Step 1: Multiply the units digit of 17, which is 7, by the entire number 31.
Write this partial product below the line:
31 × 17 ----- 217
Step 2: Multiply the tens digit of 17, which is 1, by the entire number 31, remembering this is actually multiplying by 10, so we add a zero at the end.
Write this partial product, shifted one position to the left (adding a zero):
31 × 17 ----- 217 + 310 -----
Step 3: Add the two partial products together to get the final product.
Thus, the product of 31 and 17, which is the value of , is .
To solve this problem, we'll perform vertical multiplication between the numbers 26 and 13. Here are the steps:
Calculate . Write down 8, carry over 1.
Then plus the carry over 1 gives 7.
Result: 78.
. Since this is tens place, write down 260 (shift one place to the left).
Therefore, the product of 26 and 13 is .
To solve this problem, we'll employ the vertical multiplication method to compute .
Therefore, the solution to the problem is .
To solve this problem, we'll multiply the two-digit numbers 21 and 15 using vertical multiplication:
-
-
So, we write this partial product as 105, ensuring that we account for place value.
- (Since 1 is actually 10, consider this as )
- (Since 1 is actually 10, consider this as )
Write this second partial product as 210, remembering the zero addition for the tens place.
So, the final product of 21 and 15 is .
We can confirm that the correct choice among the provided options is .
To solve the problem of finding , we will calculate the area of a rectangle with sides 25 and 15. This requires multiplying these two lengths:
Here is a step-by-step breakdown of the multiplication process using the column method:
Therefore, the value of is the area of the rectangle, which equals .
The correct choice corresponding to this result is option 2.
Thus, the solution to the problem is .
To solve this problem, we will multiply the numbers 92 and 10. Here's how:
Multiplication Breakdown:
92
× 10
------
920
Therefore, 92 multiplied by 10 equals .
Thus, the solution to the problem is .
To solve the problem of multiplying 16 by 12 using vertical multiplication, follow these steps:
Therefore, the product of is .
To solve this problem, we will multiply 33 by 17 using vertical multiplication:
Let's perform the calculations:
Step 1:
Step 2: (since the tens digit of 17 is 1, effectively )
Step 3: Add these two results:
Therefore, the solution to this problem is .
To solve the vertical multiplication problem of , we proceed as follows:
Therefore, the product of is .
To solve this problem, we will multiply the two numbers 25 and 16 using the standard method of vertical multiplication. Let's break this down step-by-step:
First, multiply the smallest place value:
Next, multiply the tens digit of the second number (1) by the first number (25), remembering to shift this result one place to the left (equivalent to multiplying by 10):
Now, add the partial products obtained from the above steps:
Therefore, the solution to the problem is .
To solve this problem, we will use vertical multiplication to find the product of 82 and 30. Begin with these steps:
Step 1: Write the numbers in vertical format:
82
x 30
----
Step 2: Start by multiplying the 2 in the unit's place of 82 by each digit of 30. Since 30 is composed of 0 and 3 (which represents 30 because it’s in the tens place), the small segments of multiplication become:
Record this result beneath the line, shifted to match the units place. Since this is multiplication by zero, this line remains:
0
Step 3: Now multiply the next digit in the number 30:
First, multiply
Then multiply 246 by 10 (since 3 is actually 30):
2460
Step 4: Add the two results (noting the multipliers from each digit of 30 already included their place value):
82
x 30
----
0 (from 82 x 0)
2460 (from 82 x 30)
----
2460
Therefore, the product of is .
Therefore, the correct answer to the problem is , which corresponds to choice (1).