Multiply Whole Numbers Practice
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Question
Use the standard algorithm to find the product of 319 and 384. Record the products of each multiplying through by each place value in 384 as well as the final product.(2 points)
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 319 and 384 using the standard algorithm, you would proceed as follows:
319
× 384
______________
319 (product of 9 and 384, which is 3456)
+ 1914 (product of 1 and 384, which is 384)
+ 9576 (product of 3 and 384, which is 1152)
_______________
= 122496
The product of multiplying by the ones digit (4) is 9576.
The product of multiplying by the tens digit (8) is 1914.
The product of multiplying by the hundreds digit (3) is 3456.
The final product is 122496.
122,496
To find the product of 319 and 384 using the standard algorithm, follow these steps:
Step 1: Write down the multiplicand (319) and the multiplier (384) one below the other, aligning the rightmost digits:
319
× 384
Step 2: Multiply the multiplicand (319) by the ones digit of the multiplier (4) and write the product below:
319
× 384
-------
1276
The product of multiplying by the ones digit is 1276.
Step 3: Multiply the multiplicand (319) by the tens digit of the multiplier (8) and write the product below, shifted one place to the left:
319
× 384
-------
1276
+2552
The product of multiplying by the tens digit is 2552.
Step 4: Multiply the multiplicand (319) by the hundreds digit of the multiplier (3) and write the product below, shifted two places to the left:
319
× 384
-------
1276
+2552
+9576
The product of multiplying by the hundreds digit is 9576.
Step 5: Add up the partial products:
319
× 384
-------
1276
+2552
+9576
-------
122496
The final product is 122496.
So, the product of multiplying by the ones digit is 1276, the product of multiplying by the tens digit is 2552, the product of multiplying by the hundreds digit is 9576, and the final product is 122496.
To find the product of 319 and 384 using the standard algorithm, we will multiply each digit of 384 by each digit of 319 and then add the results together.
Let's start by multiplying the ones digit of 384 (4) by each digit of 319:
4 multiplied by 9 is 36. Write down the 6 and carry over the 3.
4 multiplied by 1 is 4, plus the carried over 3, we get 7. Write down the 7.
Next, let's multiply the tens digit of 384 (8) by each digit of 319:
8 multiplied by 9 is 72. Write down the 2 and carry over the 7.
8 multiplied by 1 is 8, plus the carried over 7, we get 15. Write down the 5 and carry over the 1.
Lastly, let's multiply the hundreds digit of 384 (3) by each digit of 319:
3 multiplied by 9 is 27. Write down the 7 and carry over the 2.
3 multiplied by 1 is 3, plus the carried over 2, we get 5. Write down the 5.
Now, let's add the results together:
1 9 5
× 3 8 4
__________
1 9 5 (This is the product of multiplying by the ones digit: 319 × 4 = 1276)
7 9 0 (This is the product of multiplying by the tens digit: 319 × 8 = 2552)
+3 8 5 2 (This is the product of multiplying by the hundreds digit: 319 × 3 = 957)
____________
1 2 2 5 9 2 (This is the final product: 319 × 384 = 122,592)
So, the product of multiplying by the ones digit is 1,276.
The product of multiplying by the tens digit is 2,552.
The product of multiplying by the hundreds digit is 957.
The product is 122,592.