Question

Sandra used partial prouducts to find the product of 438x17 by multiplying 438 by 1 and 438 by 7 to get 3,066. Find the product of 438x17 by using partial proudocts. Is sandra correct? Compare your answer to sandra's and explain why it is or is not the same.

Answer 1

To find the product of 438x17 using partial products, we can break down the multiplication as follows:

438
x 17
_________

Let's first multiply 438 by 7:
438
x 7
_________
3066

Now, let's multiply 438 by 10 (which is equivalent to multiplying by 1 and adding a zero at the end):
438
x 10
_________
4380

Finally, we add the two products together:
3066
+ 4380
_________
7446

Therefore, the correct product of 438x17 using partial products is 7446.

Sandra's product is not the same as the correct answer. She only multiplied 438 by 1 and by 7 separately, which gave her the partial products of 3066. However, the whole multiplication involves adding those partial products together, which Sandra did not do. Hence, her answer is incorrect.