Certainly! Let's go through a step-by-step process to estimate the product of 204 and 5.2:
### Step 1: Approximate the Numbers
First, we simplify the numbers to make the multiplication easier. We can round 204 to 200 and 5.2 to 5. These approximations help us to perform simpler calculations without the need for exact values.
- Approximate 204 as 200
- Approximate 5.2 as 5
### Step 2: Multiply the Approximated Numbers
Next, we multiply the rounded numbers:
[tex]\[
200 \times 5 = 1000
\][/tex]
Thus, the estimated result of [tex]\( 204 \times 5.2 \)[/tex] using our approximations is 1000.
### Step 3: Consider the Exact Calculation (Not Required for Estimation)
For completeness, if you were to calculate the exact product, it would be:
[tex]\[
204 \times 5.2 = 1060.8
\][/tex]
### Final Answer
The best estimate for [tex]\( 204 \times 5.2 \)[/tex] is approximately [tex]\( 1000 \)[/tex].
Therefore, from the given choices, you should choose:
[tex]\[
1000
\][/tex]
