javier rounded to the nearest half to estimat...
javier rounded to the nearest half to estimate the product of $3\frac{2}{5}$ and $-3\frac{7}{8}$. how do the estimate and the actual product compare?\nthe actual product is less than the estimate. the numbers differ by less than one.\nthe actual product is greater than the estimate. the numbers differ by less than one.\nthe actual product is less than the estimate. the numbers differ by more than one.\nthe actual product is greater than the estimate. the numbers differ by more than one.
Answer
# Explanation:
## Step1: Round the numbers to the nearest half
$3\frac{2}{5}=3.4$, rounded to the nearest half is $3.5$.
$-3\frac{7}{8}=-3.875$, rounded to the nearest half is $-4$.
## Step2: Calculate the estimated product
$3.5\times(- 4)=-14$.
## Step3: Calculate the actual product
$3\frac{2}{5}\times(-3\frac{7}{8})=\frac{17}{5}\times(-\frac{31}{8})=-\frac{527}{40}=-13.175$.
## Step4: Compare the estimate and the actual product
$-13.175>-14$, and $|-13.175 - (-14)|=0.825<1$. So the actual product is greater than the estimate and the numbers differ by less than one.
# Answer:
The actual product is greater than the estimate. The numbers differ by less than one.