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.
A. Jorge is correct.
B. The correct result of the division 18.8 ➗ 1.6 is indeed 11.75. This can be confirmed by multiplying 1.6 by 11.75 and confirming that the result is 18.8. It appears that Natasha mistakenly shifted the decimal point one place to the left, yielding an answer of 1.175 instead of 11.75.
A. Natasha is correct.
B. To determine who is correct, we can calculate the actual quotient. The division problem is 18.8 ÷ 1.6. By performing this division, we find that the quotient is 11.75. Since Natasha's answer matches the actual quotient, we can conclude that she is correct.
Regarding Jorge's answer, he said the quotient is 1.175. One possible error that Jorge made is that he misplaced the decimal point. Instead of moving the decimal point one place to the right, he moved it two places to the right. This mistake caused his answer to be significantly smaller than the actual quotient.
In conclusion, Natasha is correct, and Jorge made an error by misplacing the decimal point in his answer.
A. Natasha is correct with her answer of 11.75.
B. To check who is correct between Natasha and Jorge, we can calculate the quotient of 18.8 divided by 1.6 on our own.
To do this division problem, we can follow these steps:
1. First, set up the division problem with 18.8 as the dividend and 1.6 as the divisor:
______
1.6 | 18.8
2. Start by dividing the first digit of the dividend (1) by the divisor (1.6). Since 1 is less than 1.6, place a decimal point above the division line and add a zero to the right of the decimal:
______
1.6 | 18.8
1.
3. Next, bring down the next digit of the dividend (8). Now we have 18 in the division:
______
1.6 | 18.8
1.1
4. Divide 16 (from 18) by 1.6. The quotient is 10:
______
1.6 | 18.8
11.
10
5. Multiply the 10 by the divisor, 1.6, and subtract it from 18 to find the remainder:
______
1.6 | 18.8
11.
10 * 1.6 = 16
18 - 16 = 2
6. Bring down the next digit of the dividend (0) and add it to the remainder. Now we have 20 as the new dividend:
______
1.6 | 18.8
11.7
10 * 1.6 = 16
18 - 16 = 2
20
7. Divide 20 by 1.6. The quotient is 12.5:
______
1.6 | 18.8
11.75
10 * 1.6 = 16
18 - 16 = 2
20
16
4
8. Since there is no more digit to bring down, we have completed the division. The quotient is 11.75.
Now, comparing Natasha's answer of 11.75 with Jorge's answer of 1.175, we can see that both answers differ only by the placement of the decimal point. Natasha correctly placed the decimal point after dividing the first digit, whereas Jorge misplaced the decimal point one position to the left.
Therefore, Natasha is correct with her answer of 11.75, while Jorge's answer of 1.175 is incorrect due to a decimal point error.