Questions: 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 4-0= , so her answer is not reasonable. B. The estimate would be 3-0= , so her answer is not reasonable. C. The estimate would be 0-0= , so her answer is reasonable. D. The estimate would be 3-0= , so her answer is reasonable.

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 4-0= , so her answer is not reasonable.
B. The estimate would be 3-0= , so her answer is not reasonable.
C. The estimate would be 0-0= , so her answer is reasonable.
D. The estimate would be 3-0= , so her answer is reasonable.

Transcript text: 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 $4-0=$ $\square$ , so her answer is not reasonable. B. The estimate would be $3-0=$ $\square$ so her answer is not reasonable. C. The estimate would be $0-0=$ $\square$ , so her answer is reasonable. D. The estimate would be $3-0=$ $\square$ , so her answer is reasonable.

Solution

Solution Steps

To determine if Elizabeth's answer is reasonable, we can estimate the result of the subtraction by rounding the numbers to the nearest whole numbers and then performing the subtraction. This will help us see if her answer is close to the estimated result.

Step 1: Round the Numbers

To estimate the result of the subtraction, we first round each number to the nearest whole number. The number $3.3$ rounds to $3$, and the number $0.21$ rounds to $0$.

Step 2: Perform the Subtraction

Next, we subtract the rounded numbers: \[ 3 - 0 = 3 \]

Step 3: Compare the Estimate with Elizabeth's Answer

Elizabeth's original calculation was $3.3 - 0.21 = 1.2$. Our estimate from the rounded numbers is $3$. Since $1.2$ is not close to $3$, her answer is not reasonable.