Find the value of $8.3 \times 24.2 \times 0.03$. Round your answer to the nearest hundredth.
A) 6.03
Answer (1)
Multiply the three numbers: 8.3 × 24.2 × 0.03 = 6.0258 .
Round the result to the nearest hundredth: 6.0258 \tO 6.03 .
The value of 8.3 × 24.2 × 0.03 rounded to the nearest hundredth is 6.03 .
Explanation
Understanding the problem We are asked to find the value of the expression 8.3 × 24.2 × 0.03 and round the result to the nearest hundredth.
Performing the multiplication First, we need to multiply the three numbers together. The result of the multiplication is 8.3 × 24.2 × 0.03 = 6.0258 .
Rounding to the nearest hundredth Next, we need to round the result to the nearest hundredth. The hundredth place is the second digit after the decimal point. In this case, the number is 6.0258, so the hundredth digit is 2. The digit to the right of the hundredth digit is 5, which means we need to round up the hundredth digit. Therefore, 6.0258 rounded to the nearest hundredth is 6.03.
Final Answer Therefore, the value of 8.3 × 24.2 × 0.03 rounded to the nearest hundredth is 6.03.
Examples
Understanding how to multiply decimals and round them is useful in many real-life situations. For example, when calculating the sales tax on a purchase, you often need to multiply the price of the item by the tax rate (which is a decimal) and then round the result to the nearest cent (hundredth of a dollar). Another example is when calculating the area of a rectangular room, where the length and width are given in decimals, and you need to multiply them and round the result to a certain number of decimal places.
