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)
Jorge is correct.
To confirm this, we can divide 18.8 by 1.6 using long division:
11.75
___________
1.6 | 18.8
We start by dividing 1.6 into 18. The quotient is 11 with a remainder of 0.8. We then bring down the decimal from 18.8 to get the next number to divide:
11.75
___________
1.6 | 18.8
16
---
28
We divide 1.6 into 28 and get a quotient of 17 with a remainder of 0.2. Since the remainder is not zero at this point, we can continue the division by adding a zero after the decimal point in 1.6 and bringing it down:
11.75
___________
1.6 | 18.8
16
---
28
16
---
12
We divide 1.6 into 12 and get a quotient of 7.5. The remainder is now zero, indicating that we have no more decimal places to bring down.
Therefore, the correct quotient is 11.75.
The possible error Natasha made was mistakenly leaving out the decimal point. Her answer of 11.75 is correct except for the missing decimal point.
can you show the entire equation with no words?
Certainly! Here's the equation written out using long division without any words:
```
11.75
___________
1.6 | 18.8
16
---
28
16
---
12
```
also who is wrong in the question? Natasha or Jorge? and why?
Apologies for the confusion in my previous response. Upon reviewing the situation again, we can determine that Natasha is wrong, not Jorge.
The correct quotient for the decimal division problem 18.8 ÷ 1.6 is indeed 11.75, as Jorge stated. Natasha's answer of 1.175 is incorrect.
and why is natasha wrong??
Apologies for the incorrect information in my previous response. Natasha is actually correct, not Jorge.
The correct quotient for the decimal division problem 18.8 ÷ 1.6 is indeed 11.75. Jorge's answer of 1.175 is incorrect.