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

123 ⋅ 48 = 5,904
No, the decimal point is not in the correct place.
134 times 67 equals 8,978 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.

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.

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

Answer 1

To estimate the product of 12.3 and 4.8, we can round the numbers to the nearest whole numbers:

• 12.3 rounds to 12
• 4.8 rounds to 5

Now we can multiply the rounded numbers:

12 × 5 = 60

Now let's analyze the original multiplication:

12.3 × 4.8 = 59.04

In the multiplication, 12.3 has one decimal place and 4.8 also has one decimal place, making a total of two decimal places. Therefore, in the product, we must have the decimal point moved two places from the right.

59.04 does indeed have the decimal point two places from the right correctly placed as 60 when estimated, which shows that the decimal point in the result 59.04 is also in the correct place considering the original values.

Based on these calculations, the appropriate response is:

12 × 5 = 60
Yes, the decimal point is in the correct place.