Deanna estimated the product of 6.45 and 10.2 below.

Question

(6.45) (10.2) almost-equals 6 times 10 = 60

How does the estimate compare to the exact product?
The estimate is high because both factors are rounded down.
The estimate is low because both factors are rounded down.
The estimate is high because both factors are rounded up.
The estimate is low because both factors are rounded up.

Answer 1

To analyze Deanna's estimate of the product of 6.45 and 10.2, let's first look at the rounded values:

• Deanna rounded 6.45 down to 6.
• Deanna rounded 10.2 down to 10.

Now, looking at the actual numbers:

• The actual product of 6.45 and 10.2 can be calculated as follows: \[ 6.45 \times 10.2 = 65.79 \]

Now, let's consider the estimation:

• Deanna's estimated product of 6 times 10 is 60.

Now we can compare the estimate to the exact product:

• The estimate (60) is less than the exact product (65.79).

Since both factors were rounded down (to 6 and 10), this means that the estimate is indeed low because both factors were rounded down.

Thus, the correct explanation is: The estimate is low because both factors are rounded down.