Use the standard algorithm to find the product of 246 and 188. Record the products of each multiplying through by each place value in 188 as well as the final product.
The product of multiplying by the ones digit is
. The product of multiplying by the tens digit is
. The product of multiplying by the hundreds digit is
. The product is
.
To find the product of 246 and 188 using the standard algorithm, we can follow the steps below:
2 4 6
× 1 8 8
_________________
1 8 4 8 <- This is the first partial product
+ 4 9 2 0 <- This is the second partial product
+ 1, 2 3 <- This is the third partial product
_________________
= 4 6 2 4 8 8
Now, let's break down the calculation for the partial products:
Product of the ones digit:
6 x 8 = 48
Product of the tens digit:
40 x 8 = 320
Product of the hundreds digit:
200 x 8 = 1600
Final product:
48 (ones digit's product)
320 (tens digit's product, shifted one place to the left)
1600 (hundreds digit's product, shifted two places to the left)
+ 4 6 2 4 8 8 (original product of 246 and 188)
The final product is 46,248.
To find the product of 246 and 188 using the standard algorithm, follow these steps:
Step 1: Multiply the ones digit (8) of 188 by each digit in 246.
8 multiplied by 6 equals 48. Record the product 48.
Step 2: Multiply the tens digit (8) of 188 by each digit in 246.
8 multiplied by 4 equals 32. Record the product 32.
Step 3: Multiply the hundreds digit (1) of 188 by each digit in 246.
1 multiplied by 6 equals 6. Record the product 6.
Step 4: Multiply the hundreds digit (1) of 188 by each digit in 246.
1 multiplied by 2 equals 2. Record the product 2.
Step 5: Multiply the hundreds digit (1) of 188 by each digit in 246.
1 multiplied by 4 equals 4. Record the product 4.
Step 6: Multiply the hundreds digit (1) of 188 by each digit in 246.
1 multiplied by 0 equals 0. Record the product 0.
Step 7: Multiply the hundreds digit (1) of 188 by each digit in 246.
1 multiplied by 0 equals 0. Record the product 0.
Step 8: Add up all the products.
48 + 32 + 6 + 2 + 4 + 0 + 0 + 0 = 92
So, the final product of 246 and 188 is 92.