Question

Which gives the best estimate and the exact product of (5.9)(8.28)?
estimate: 40; exact product: 48.852
estimate: 48; exact product: 48.852
estimate: 400; exact product: 488.52
estimate: 480; exact product: 488.52

Answer 1

To estimate the product of \( (5.9)(8.28) \), we can round the numbers to make the multiplication simpler.

- Rounding \( 5.9 \) to \( 6 \)
- Rounding \( 8.28 \) to \( 8 \)

Now multiplying the rounded values:

\[
6 \times 8 = 48
\]

So the best estimate for the product is \( 48 \).

Now let's find the exact product of \( 5.9 \) and \( 8.28 \):

\[
5.9 \times 8.28 = 48.852
\]

Now we can match these findings with the given options:

1. **estimate: 40; exact product: 48.852**
- Estimate doesn't match.

2. **estimate: 48; exact product: 48.852**
- Both estimate and exact product match.

3. **estimate: 400; exact product: 488.52**
- Estimate doesn't match.

4. **estimate: 480; exact product: 488.52**
- Estimate doesn't match.

Therefore, the best estimate and exact product is:
**estimate: 48; exact product: 48.852**.