9.07 × 6.84
Understand the Problem
The question is asking to perform a multiplication of two decimal numbers: 9.07 and 6.84. We will calculate this step by step to find the product.
Answer
The product is \( 62.0988 \).
Answer for screen readers
The product of ( 9.07 \times 6.84 ) is ( 62.0988 ).
Steps to Solve
-
Write the numbers in whole number form
To make the multiplication easier, we can temporarily ignore the decimal points by multiplying both numbers by 100. This gives us:
$$ 907 \times 684 $$
-
Perform the multiplication
Now we will calculate ( 907 \times 684 ). This can be done using long multiplication:
[ \begin{array}{c} \phantom{0}907 \ \times \phantom{0}684 \ \hline 7268 \quad \text{(907 × 4)} \ 5442 \quad \text{(907 × 80)} \ 5442 \quad \text{(907 × 600)} \ \hline 620988 \
\end{array} ] -
Adjust for decimal places
Since we multiplied both original numbers by 100, we must divide the result by 10000 to account for the two decimal places in each original number:
$$ \frac{620988}{10000} = 62.0988 $$
The product of ( 9.07 \times 6.84 ) is ( 62.0988 ).
More Information
The multiplication of decimal numbers involves first converting them into whole numbers, performing the multiplication, and then adjusting back for the decimal points based on how many decimal places were moved.
Tips
- Not accounting for the decimal places properly after performing multiplication. To avoid this, always count the total number of decimal places in the original numbers and adjust appropriately in the final answer.
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