0.3 × 0.23 = ? 0.8 × 0.4 = ?
Understand the Problem
The question involves basic multiplication of decimal numbers. Specifically, it asks for the products of two pairs of decimal numbers: 0.3 multiplied by 0.23 and 0.8 multiplied by 0.4. The problem is seeking the numerical results of these calculations.
Answer
1. \( 0.3 \times 0.23 = 0.069 \) 2. \( 0.8 \times 0.4 = 0.32 \)
Answer for screen readers
The results are:
- ( 0.3 \times 0.23 = 0.069 )
- ( 0.8 \times 0.4 = 0.32 )
Steps to Solve
- Calculating the first product: 0.3 × 0.23
To multiply 0.3 by 0.23, we can ignore the decimals initially and multiply as if they were whole numbers:
$$ 3 \times 23 = 69 $$
Next, we consider the total number of decimal places in the original numbers.
0.3 has 1 decimal place, and 0.23 has 2 decimal places, for a total of 3 decimal places.
Thus, we place the decimal point 3 places from the right in the result:
$$ 0.3 \times 0.23 = 0.069 $$
- Calculating the second product: 0.8 × 0.4
Now, we multiply 0.8 by 0.4 in the same way.
Ignoring the decimals, we have:
$$ 8 \times 4 = 32 $$
Next, we consider the number of decimal places. Both 0.8 and 0.4 have 1 decimal place each, so we have a total of 2 decimal places.
We place the decimal point 2 places from the right in the result:
$$ 0.8 \times 0.4 = 0.32 $$
The results are:
- ( 0.3 \times 0.23 = 0.069 )
- ( 0.8 \times 0.4 = 0.32 )
More Information
These calculations illustrate the process of multiplying decimal numbers, emphasizing the importance of keeping track of decimal places. Multiplying decimals is a foundational skill necessary for more advanced mathematical concepts.
Tips
- Misplacing the decimal point: Make sure to count the total decimal places correctly from both numbers.
- Multiplying incorrectly: Double-check the multiplication of the whole numbers before placing the decimal.
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