Natasha and Jorge were asked to find the quotient to the decimal division problem 18.8÷1.6 . Natasha says her answer is 11.75. Jorge says his answer is 1.175.
a. Who is correct? Natasha or Jorge?
b. Explain how you know who is correct. Include in your explanation at least one possible error the student who was incorrect made.(2 points)
a. Jorge is correct.
b. To determine who is correct, we can divide 18.8 by 1.6 to find the quotient.
18.8 ÷ 1.6 = 11.75
Here, Natasha made the error. The correct quotient is 11.75, not 1.175.
a. Natasha is correct.
b. To determine who is correct, we can divide 18.8 by 1.6 and compare the result to their answers.
18.8 ÷ 1.6 = 11.75
Therefore, Natasha's answer of 11.75 is correct.
However, Jorge's answer of 1.175 is incorrect. One possible error Jorge made is that he mistakenly moved the decimal point one place to the right when dividing. He should have placed the decimal point after the 11, resulting in 11.75.
To determine who is correct in answering the quotient of the decimal division problem 18.8 ÷ 1.6, we can calculate the correct answer by performing the division ourselves.
To calculate the quotient, we divide the numerator (18.8) by the denominator (1.6):
18.8 ÷ 1.6 = 11.75
Therefore, Natasha's answer, 11.75, is correct.
Jorge's answer, 1.175, is incorrect. One possible error Jorge made is mistakingly placing the decimal point too far to the right. Instead of dividing 18.8 by 1.6 and getting 11.75, he might have mistakenly moved the decimal point one place further, resulting in a smaller quotient of 1.175.