To interpret the question and the given table, let's go through a detailed, step-by-step solution.
### Understanding the Problem
We have a table that seems to involve two items: a grape and a grain of rice. The table is designed to represent these items in two forms:
1. Standard Form - A numerical representation, likely in decimal form.
2. Unit Form - Possibly a conversion or a different representation such as in millimeters or centimeters, though it is not initially provided for the grain of rice.
The given table looks like this:
[tex]\[
\begin{array}{|c|c|c|}
\hline
& \text{Standard Form} & \text{Unit Form} \\
\hline
\text{Grape (width)} & 0.03 & \\
\hline
\text{Grain of Rice} & & \\
\hline
\end{array}
\][/tex]
### Step-by-Step Solution
#### Step 1: Determine the Existing Data
From the table, we know:
- The width of a grape in Standard Form is given as 0.03.
#### Step 2: Estimate the Missing Values
Since the Standard Form values for the grain of rice and the Unit Form values for both items are not provided, we'll need some assumed typical sizes for reference.
Common Assumptions:
1. Grape Width:
- Standard Form: 0.03 meters (typically, grapes are measured in meters or centimeters for such tables).
To convert to Unit Form:
- 0.03 meters = 3 centimeters = 30 millimeters.
2. Grain of Rice:
- Although not given, a standard length of a grain of rice might be around 0.007 meters (or 7 millimeters; this value is commonly accepted for the sake of these exercises).
#### Step 3: Fill in the Table
- For the Grape:
- Standard Form: 0.03 meters
- Unit Form: 3 centimeters or 30 millimeters.
- For the Grain of Rice:
- Standard Form: 0.007 meters
- Unit Form: 0.7 centimeters or 7 millimeters.
Here is the completed table:
[tex]\[
\begin{array}{|c|c|c|}
\hline
& \text{Standard Form} & \text{Unit Form} \\
\hline
\text{Grape (width)} & 0.03 & 3 \, \text{cm} \, \text{ (or 30 mm)} \\
\hline
\text{Grain of Rice} & 0.007 & 0.7 \, \text{cm} \, \text{ (or 7 mm)} \\
\hline
\end{array}
\][/tex]
### Final Answer
Let's present the completed table including both Standard and Unit Form for both items:
[tex]\[
\begin{array}{|c|c|c|}
\hline
& \text{Standard Form} & \text{Unit Form} \\
\hline
\text{Grape (width)} & 0.03 & 3 \, \text{cm} \, \text{(or 30 mm)} \\
\hline
\text{Grain of Rice} & 0.007 & 0.7 \, \text{cm} \, \text{(or 7 mm)} \\
\hline
\end{array}
\][/tex]
This detailed breakdown shows the process of interpreting the given information, estimating typical sizes, and converting between different forms of representation.
