Partial products of 1,453x4=5,812 12,1600 4,000 12 800 1600 12 200 1600 4000 12 800 1600 4000
The partial products of 1,453 x 4 are:
1,453 x 4 = 5,812
Partial product 1: 1,453 x 4 = 5,812
Partial product 2: 1,000 x 4 = 4,000
Partial product 3: 400 x 4 = 1,600
Partial product 4: 50 x 4 = 200
Partial product 5: 3 x 4 = 12
If you add up all the partial products, you get the final result of 5,812:
5,812 + 4,000 + 1,600 + 200 + 12 = 5,812
To find the partial products of 1,453 multiplied by 4, you can use the standard multiplication method. Here are the step-by-step calculations:
Step 1: Multiply the ones digit of 1,453 (3) by 4:
3 x 4 = 12
Step 2: Write down the result under the line. This is the first partial product.
Step 3: Multiply the tens digit (5) by 4 and add any carry-over from the previous step (0):
(5 x 4) + 0 = 20
Step 4: Write down the result under the line. This is the second partial product.
Step 5: Multiply the hundreds digit (4) by 4:
4 x 4 = 16
Step 6: Write down the result under the line. This is the third partial product.
Step 7: Multiply the thousands digit (1) by 4:
1 x 4 = 4
Step 8: Write down the result under the line. This is the fourth partial product.
Now, let's put all the partial products together:
1,453
x 4
________
5,812 (1st partial product: 12)
+ 4,000 (2nd partial product: 20, with a carry-over of 2)
+ 800 (3rd partial product: 16)
+ 9,200 (4th partial product: 4)
The sum of all the partial products is 5,812.
To find the partial products of multiplying 1,453 by 4, you can use the long multiplication method. Here's a step-by-step explanation of the calculation:
Step 1: Write down the multiplication problem vertically:
1,453
× 4
Step 2: Multiply the ones digit (3) of the top number by the bottom number (4):
3 × 4 = 12
Write down 12 below the line.
Step 3: Multiply the tens digit (5) of the top number by the bottom number (4):
5 × 4 = 20
Write down 20, shifted one position to the left, below the line.
(2 is below the line and 0 is shifted one position to the left)
Step 4: Multiply the hundreds digit (4) of the top number by the bottom number (4):
4 × 4 = 16
Write down 16, shifted two positions to the left, below the line.
(1 is below the line and 6 is shifted two positions to the left)
Step 5: Multiply the thousands digit (1) of the top number by the bottom number (4):
1 × 4 = 4
Write down 4, shifted three positions to the left, below the line.
(4 is shifted three positions to the left)
Step 6: Add up the partial products:
12
20
16
+ 4
--------
5812
The partial products of 1,453 multiplied by 4 are:
12, 20, 16, and 4.
Therefore, the result of the multiplication is:
1,453 × 4 = 5,812.