Multiply Decimals Quick Check
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Question
If 81 ⋅ 432 = 34,992, what is 8.1 × 4.32?
To answer this question, we need to multiply the decimals 8.1 and 4.32.
When multiplying decimals, we ignore the decimal point and multiply as usual. After that, we count the total number of decimal places in the given numbers and move the decimal point that many places to the left in the product.
In this case, ignoring the decimal point, 8.1 multiplied by 4.32 is 810 multiplied by 432, which gives us 349,920.
Now, let's count the total number of decimal places in 8.1 and 4.32. The number 8.1 has one decimal place, and the number 4.32 has two decimal places. So, in total, we have three decimal places.
Therefore, we need to move the decimal point three places to the left in the product.
So, 8.1 multiplied by 4.32 is equal to 349,920 with the decimal point moved three places to the left.
Thus, 8.1 × 4.32 = 349.92.
Multiply 11.8 and 3.9
To multiply 11.8 and 3.9, follow these steps:
1. Ignore the decimal points and multiply the whole numbers as usual:
118 × 39 = 4,602
2. Count the total number of decimal places in both numbers. In this case, there are two decimal places, one in 11.8 and one in 3.9.
3. Place the decimal point in the product by moving it two places from the right. So, 4,602 becomes 46.02.
Therefore, 11.8 multiplied by 3.9 equals 46.02.
are you sure
Apologies for the error in my previous response.
To multiply 11.8 and 3.9 correctly, follow these steps:
1. Align the numbers vertically, with the decimal points lined up.
11.8
x 3.9
______
2. Multiply the numbers as you would with whole numbers, ignoring the decimal points.
472
x 39
______
3303
3. Count the total number of decimal places in both numbers. In this case, there is one decimal place in each number.
4. Place the decimal point in the product by moving it one place from the right.
Therefore, 11.8 multiplied by 3.9 equals 46.02.
Multiply 9.27 and 8.3.
To multiply 9.27 and 8.3, follow these steps:
1. Ignore the decimal points and multiply the whole numbers as usual:
927 × 83 = 76,941
2. Count the total number of decimal places in both numbers. In this case, there are two decimal places, one in 9.27 and one in 8.3.
3. Place the decimal point in the product by moving it two places from the right. So, 76,941 becomes 769.41.
Therefore, 9.27 multiplied by 8.3 equals 769.41.
Multiply and find an estimate to check for the reasonable correct place value for the decimal point for 12.3 × 4.8 = 59.04
.(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
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.
123 ⋅ 48 = 5,904
Yes, the decimal point is in the correct place.
The correct response is:
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.
To find the product of two decimal numbers, you can multiply them as if they were whole numbers and then adjust the decimal point in the final answer. Here's how you can do it:
Step 1: Multiply the numbers as if they were whole numbers:
8.1 × 4.32 = 81 × 432
Step 2: Multiply the whole numbers:
81 × 432 = 34,992
Step 3: Adjust the decimal point in the final answer:
Since there are a total of 3 decimal places in the original numbers (1 in 8.1 and 2 in 4.32), the final answer should have a total of 3 decimal places as well.
Therefore, the product of 8.1 and 4.32 is 34,992.