Use the standard algorithm to multiply 475 x 96 Record the product of multiplying by the ones digit, the product of multiplying by the tens digit, and 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 is
Check
The product of multiplying by the ones digit is:
475 x 6 = 2850
The product of multiplying by the tens digit is:
475 x 90 = 42750
The product is:
475 x 96 = 45600
Check:
To check the result, we can multiply the product of the ones digit and the tens digit and add it to the product of multiplying by the tens digit:
2850 + 42750 = 45600
The result is equal to the product, so it is correct.
To multiply 475 by 96 using the standard algorithm, follow these steps:
Step 1: Multiply the ones digit (5) of the second number (96) by the first number (475):
5 x 475 = 2375
Step 2: Multiply the tens digit (9) of the second number (96) by the first number (475) and shift one place to the left:
9 x 475 = 4275 (shifted one place to the left becomes 42750)
Step 3: Write the partial products one below the other, aligning them according to the place value:
```
475
x 96
-----
2375 (products of ones digits)
42750 (products of tens digits)
-----
```
Step 4: Add the partial products to get the final product:
2375
42750
-----
45600
Therefore, the product of multiplying by the ones digit is 2375, the product of multiplying by the tens digit is 42750, and the final product is 45600.
To check the answer, use a calculator or reverse the process by dividing the final product (45600) by the second number (96). If the quotient is equal to the first number (475), then the multiplication is correct.
To multiply 475 by 96 using the standard algorithm, we follow these steps:
Step 1: Multiply the ones digit of the second number (6) by the first number (475). This gives us:
6 * 475 = 2,850.
Step 2: Multiply the tens digit of the second number (9) by the first number (475). This gives us:
9 * 475 = 4,275.
Step 3: Multiply the second number (96) by the first digit of the first number (5) and add a zero at the end. This gives us:
96 * 5 = 480 (then add a zero) = 4,800.
Step 4: Add the three products calculated above:
2,850 + 4,275 + 4,800 = 11,925.
So, the product of multiplying by the ones digit is 2,850, the product of multiplying by the tens digit is 4,275, and the final product is 11,925.
To check our answer, we can use the commutative property of multiplication. We can multiply 96 by 475 or 475 by 96:
96 * 475 = 45,600,
475 * 96 = 45,600.
Since both calculations give us the same result, our answer of 11,925 is correct.