Multiply and find an estimate to check for the reasonable correct place value for the decimal point for 12.3 × 4.8 = 59.04

Question

.(1 point)
Responses

12 ⋅ 4 = 48
No, the decimal point is not in the correct place.
13 times 6 equals 78 No, the decimal point is not in the correct place.

12 ⋅ 5 = 60
Yes, the decimal point is in the correct place.
13 times 6 equals 78 Yes, the decimal point is in the correct place.

123 ⋅ 48 = 5,904
Yes, the decimal point is in the correct place.
134 times 67 equals 8,978 Yes, the decimal point is in the correct place.

123 ⋅ 48 = 5,904
No, the decimal point is not in the correct place.

Answer 1

To check the reasonable correct place value for the decimal point in the multiplication of 12.3 and 4.8, we can estimate the product first.

• We can round 12.3 to 12 and 4.8 to 5.
• Now we perform the multiplication: \(12 \times 5 = 60\).

Since 12.3 has one decimal place and 4.8 also has one decimal place, when multiplying two decimal numbers, we should have a total of 2 decimal places in the final answer. Therefore, we should place the decimal point in our estimated answer of 60 to get 0.60 (or just 60 if we're only considering the numerical value).

Now let's analyze the answer 59.04:

59.04 has two decimal places, which aligns with our estimate. Thus, the decimal point in 59.04 is in the correct place.

Looking at your options:

• 12 ⋅ 5 = 60: Yes, the decimal point is in the correct place.

This option confirms that the calculations are valid and the placement of the decimal in the result after multiplication (59.04) is indeed appropriate.

• 123 ⋅ 48 = 5,904: Yes, the decimal point is in the correct place.

This option also confirms the calculations but reflects a larger unrelated multiplication to the original problem.

In conclusion, the statement 12 ⋅ 5 = 60: Yes, the decimal point is in the correct place. is accurate to your original multiplication question (12.3 × 4.8 = 59.04).