Solving the Math Calculation: (5.21 × 6.32) - 2.9272

This question involves performing a multiplication of two decimal numbers and then subtracting another decimal number from the result. We will solve this step-by-step.

Step 1: Multiply the Decimal Numbers

First, we need to calculate the product of 5.21 and 6.32.

Using LaTeX for the multiplication:

$$ 5.21 \times 6.32 $$

To multiply these numbers, we can ignore the decimal points initially and multiply 521 by 632:

$$ 521 \times 632 = 329272 $$

Now, we need to place the decimal point. Since 5.21 has two decimal places and 6.32 has two decimal places, the result must have a total of four decimal places (2 + 2 = 4).

So, the result of the multiplication is:

$$ 5.21 \times 6.32 = 32.9272 $$

Step 2: Subtract the Second Decimal Number

Next, we subtract 2.9272 from the result obtained in Step 1.

Using LaTeX for the subtraction:

$$ 32.9272 - 2.9272 $$

Performing the subtraction:

$$ \begin{array}{@{}c@{\,}c@{}c@{}c@{}c@{}c@{}c} & 3 & 2 & . & 9 & 2 & 7 & 2 \\ - & & 2 & . & 9 & 2 & 7 & 2 \\ \hline & 3 & 0 & . & 0 & 0 & 0 & 0 \\ \end{array} $$

The result of the subtraction is 30.

Conclusion

The calculation (5.21 × 6.32) - 2.9272 equals 30.

Comparing this result with the given options:

• Option 1: 32
• Option 2: 30
• Option 3: 34
• Option 4: 36

The calculated value matches Option 2.