6.73 * 0.89
Understand the Problem
The question requires the multiplication of two decimal numbers: 6.73 and 0.89. We need to find the product of these two numbers.
Answer
$5.9897$
Answer for screen readers
$5.9897$
Steps to Solve
- Set up the multiplication
We will multiply $6.73$ by $0.89$ similar to how we multiply whole numbers. Ignore the decimal points for now.
- Multiply as whole numbers
Multiply $673$ by $9$: $673 \times 9 = 6057$
Multiply $673$ by $8$: $673 \times 8 = 5384$
- Account for place value when multiplying by 8
Since we're multiplying by $80$ (8 in the tens place), we write $5384$ shifted one place to the left, which means adding a 0 at the end, or simply writing the number under the correct place values:
6057 +53840
- Add the results
Add the two products we got from the previous steps:
6057 +53840 =59897
- Place the decimal point
Now, count the total number of decimal places in the original numbers. $6.73$ has two decimal places, and $0.89$ has two decimal places, for a total of $2 + 2 = 4$ decimal places. Starting from the right in our result ($59897$), count four places to the left and place the decimal point.
$5.9897$
$5.9897$
More Information
The product of $6.73$ and $0.89$ is $5.9897$.
Tips
A common mistake is miscounting the number of decimal places. Remember to count the total number of digits after the decimal point in both original numbers. Another mistake is forgetting to account for place value when multiplying. When multiplying by the 'tens' digit, like 8 in 0.89, make sure to shift the product one place to the left.
AI-generated content may contain errors. Please verify critical information
