Tina solved for the decimal value 0f
(3/5*18) and got an answer of 5.4. Four of her classmates argued that her answer was not reasonable. Which of the following statements best explain why that value can not =5.4
A. the number 18 is a multiple of 3 , so the answer must be a whole number
B. The number 18 can be rounded to 20 and 3/5 can be rounded to 1, so the value of (3/5*18) must be less than 20*1, or 20
C. the fraction3/5 is greater than 1/2, so the value of (3/5*18) must be greater than 1/2 of 18 or 9
D. The fraction 3/5 is less then 1, so the value of (3/5*18) must be less than (1*18) or 18
I think it is D.
I did 18*3/5=104/5=54/5=10.8
I really wasn't sure if C or D was the better answer since to me they are both correct.
Can you help explain? thanks for your help!!
C is correct. It is more exact than D.
ok thank you for explaining that.
You're welcome.
To solve this question, we need to evaluate the expression (3/5 * 18) and determine if the result of 5.4 is reasonable.
To solve the expression (3/5 * 18), we multiply 3/5 by 18.
Multiply the numerator of the fraction (3) by 18:
3 * 18 = 54
Multiply the denominator of the fraction (5) by 18:
5 * 18 = 90
So, the result of (3/5 * 18) is 54/90.
To determine if the decimal value of 5.4 is reasonable, we can convert 54/90 to a decimal by dividing the numerator (54) by the denominator (90):
54/90 ≈ 0.6
Therefore, the decimal value of (3/5 * 18) is approximately 0.6, not 5.4.
Given the options provided:
A. The statement that "the number 18 is a multiple of 3, so the answer must be a whole number" is not correct, as it assumes that the result must be a whole number when multiplying by 18. However, it is possible to get a non-whole number result when dividing fractions.
B. The statement that "the number 18 can be rounded to 20 and 3/5 can be rounded to 1, so the value of (3/5 * 18) must be less than 20 * 1, or 20" is not correct. Rounding the numbers does not guarantee the actual product value.
C. The statement that "the fraction 3/5 is greater than 1/2, so the value of (3/5 * 18) must be greater than 1/2 of 18 or 9" is also not correct. The fraction being greater than 1/2 does not determine the exact value of the product.
D. The statement that "the fraction 3/5 is less than 1, so the value of (3/5 * 18) must be less than (1 * 18) or 18" is correct. As we saw earlier, the product of (3/5 * 18) is approximately 0.6, which is less than 18. Therefore, statement D best explains why the value cannot be 5.4.
So, the correct answer is D.