Question

which equation provides the best estimate of the product of 229 and 3.22?

200 x 3 = 600
200 x 4 = 800
300 x 3 = 900
250 x 3 = 750

Answer 1

To estimate the product of 229 and 3.22, we can round the numbers to simplify our calculations:

- Round 229 to 230 (which is a bit closer to the original value)
- Round 3.22 to 3 (for a simpler calculation)

Now, let's consider the given equations:

1. \(200 \times 3 = 600\)
2. \(200 \times 4 = 800\)
3. \(300 \times 3 = 900\)
4. \(250 \times 3 = 750\)

Now we can evaluate each equation:

1. \(200 \times 3 = 600\): This is less than our estimated product (around 740).
2. \(200 \times 4 = 800\): This is more than our estimated product.
3. \(300 \times 3 = 900\): This is also more than our estimated product.
4. \(250 \times 3 = 750\): This is quite close to our estimated product.

Given these comparisons, the fourth equation \(250 \times 3 = 750\) provides the best estimate of the product of 229 and 3.22.