Multiply 27.76 by 30.7. What is the product?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

Multiply 27.76 by 30.7. What is the product?

Explanation:
Multiplying decimals works by removing the decimals, multiplying the whole numbers, and then reintroducing the decimal point based on the total number of decimal places in the factors. Here, 27.76 has two decimal places and 30.7 has one, so there are three decimal places in total. Convert to integers: 2776 and 307. Multiply: 2776 × 307 = 2776×300 + 2776×7 = 832,800 + 19,432 = 852,232. Place the decimal three places from the right: 852.232. So the product is 852.232. The other numbers come from putting the decimal point in a different place or rounding.

Multiplying decimals works by removing the decimals, multiplying the whole numbers, and then reintroducing the decimal point based on the total number of decimal places in the factors. Here, 27.76 has two decimal places and 30.7 has one, so there are three decimal places in total.

Convert to integers: 2776 and 307. Multiply: 2776 × 307 = 2776×300 + 2776×7 = 832,800 + 19,432 = 852,232. Place the decimal three places from the right: 852.232.

So the product is 852.232. The other numbers come from putting the decimal point in a different place or rounding.

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