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Find the product and explain the process and reasoning.

0.67 × 0.3 =
A. 0.201; Multiply the decimal numbers and count the total decimal places in the factors.
B. 0.201; Multiply the numbers without considering decimal places.
C. 2.01; Multiply the decimal numbers and ignore the decimal point.
D. 201; Multiply the numbers without considering decimal places and decimal point placement.

User Ner
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1 Answer

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Final answer:

To find the product of 0.67 and 0.3, multiply as whole numbers (67 * 3 = 201) and then place the decimal to account for three places from the factors, resulting in 0.201.

Step-by-step explanation:

The question asks you to find the product of two decimal numbers: 0.67 and 0.3. To correctly multiply these numbers, you should multiply them as if they were whole numbers and then place the decimal point in the product so that the total number of decimal places in the product is equal to the sum of the decimal places in the factors being multiplied. Therefore, since both factors are decimal numbers, you should consider the decimal places during multiplication.

First, multiply the numbers without the decimal points: 67 * 3 = 201. Then, count the total decimal places in the factors, which is one in 0.3 and two in 0.67, adding up to three decimal places. So, the product should have three decimal places. Consequently, place the decimal point accordingly to get 0.201.

The correct answer is: B. 0.201; Multiply the decimal numbers and count the total decimal places in the factors.

User Arpit Singh
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