2.50*0.25
Simplify the expression above. Which of the following is correct?
A.
0.0625
B.
6.025
C.
0.625
D.
6.25
The Correct answer and Explanation is:
To simplify the expression 2.50×0.252.50 \times 0.252.50×0.25, we can break down the multiplication step-by-step.
Step 1: Multiply the Numbers
First, we multiply the two numbers as if they were whole numbers. Ignoring the decimal points initially, we compute:250×25250 \times 25250×25
Step 2: Performing the Multiplication
Now, we can perform this multiplication:250×25=6250250 \times 25 = 6250250×25=6250
Step 3: Adjust for Decimal Places
Next, we need to account for the decimal points. The number 2.502.502.50 has two decimal places, and 0.250.250.25 has two decimal places as well. When multiplying decimal numbers, the total number of decimal places in the product will be the sum of the decimal places in the factors. Thus, we have:2+2=42 + 2 = 42+2=4
This means we need to move the decimal point four places to the left in 625062506250:6250→0.62506250 \rightarrow 0.62506250→0.6250
After adjusting for the decimal, we can simplify this to:0.6250.6250.625
Step 4: Choose the Correct Answer
Now, let’s look at the options provided:
A. 0.06250.06250.0625
B. 6.0256.0256.025
C. 0.6250.6250.625
D. 6.256.256.25
The correct answer is clearly:
C. 0.6250.6250.625
Conclusion
In conclusion, the multiplication of 2.502.502.50 and 0.250.250.25 simplifies to 0.6250.6250.625. This step-by-step process demonstrates the importance of careful calculation and attention to decimal placement when working with decimal numbers in multiplication. By breaking down the multiplication and then adjusting for the decimal points, we arrive at the correct answer systematically.