Question

Elizabeth wrote 3.3 - 0.21= 1.2 Is her answer​ reasonable? Explain why or why not. Choose the correct answer below and fill in the answer box to complete your choice. A. The estimate would be 0-0= nothing​, so her answer is reasonable. B. The estimate would be 4-0= nothing​, so her answer is not reasonable. C. The estimate would be 3-0= nothing​, so her answer is not reasonable. D. The estimate would be 3-0= nothing​, so her answer is reasonable.

Answer 1

Answer:

The estimate would be 3-0= nothing​, so her answer is not reasonable.

Step-by-step explanation:

Given the expression written by Elizabeth as  3.3 - 0.21= 1.2, to check if Elizabeth expression is reasonable or not, we need to check if her answer is close to or equal to the answer of the diiferebce between 3.3 - 0.21.

Converting 3.3 and 0.21 to fraction

3.3 = 33/10

0.21 = 21/100

Taking the difference of both fractions

$= \dfrac{33}{10} -\dfrac{21}{100} \\\\= \dfrac{330-21}{100} \\\\= \dfrac{309}{100} \\\\= 3.09$

Hence 3.3 - 0.21 = 3.09 ≈ 3.0 (to nearest whole number). Comparing Elizabeth answer which is 1.2 to the answer f=gotten, it can be seen that her answer is far from the right answer with a difference of about 1.8 (3.0-1.2). This large difference makes Elizabeth answer unreasonable.