The Meaning of 0.65×12
Understanding the Basics
When we encounter the expression 0.65×12, it represents a mathematical operation involving two numbers. In this case, we are multiplying 0.65 (a decimal number) by 12 (a whole number). To grasp the meaning of this expression, we need to understand how decimals and multiplication work.
Decimals are a way to represent numbers that are less than a whole. They are based on powers of 10, with each digit having a specific value depending on its position. For example, in the decimal number 0.65, the digit 6 is in the tenths place, while the digit 5 is in the hundredths place.
Multiplication, on the other hand, is an operation used to find the total of repeated addition. When we multiply a decimal by a whole number, we are essentially adding the decimal to itself a certain number of times, as dictated by the whole number.
The Calculation
Let’s now calculate the meaning of 0.65×12 step by step.
First, we multiply the decimal part, 0.65, by the whole number, 12. To do this, we ignore the decimal point for now and treat 0.65 as a normal whole number. Consequently, 0.65×12 becomes 65×12.
Next, we perform the multiplication between 65 and 12. The result of this calculation is 780. However, we still need to account for the decimal part, as the original number was a decimal.
To determine the decimal part in the final answer, we examine the number of decimal places in the original decimal, which is 2 in this case. Since 12 is a whole number with no decimal places, we move the decimal point in 780 two places to the left. Thus, the final answer becomes 7.80.
The Meaning
So, the meaning of 0.65×12 is 7.80. This means that if we multiply the decimal 0.65 by the whole number 12, the result is 7.80.
In practical terms, imagine you have a bag of marbles, and each marble weighs 0.65 grams. If you have 12 bags, and you want to know the total weight of the marbles, you would multiply 0.65 by 12. The answer, 7.80 grams, represents the combined weight of all the marbles.
Furthermore, understanding the meaning of this expression allows us to make predictions or solve problems. For example, if we know the price of one item is 0.65 dollars and we want to determine the total cost of buying 12 items, we can use 0.65×12 to find out that the total cost would be 7.80 dollars.
Conclusion
In conclusion, the expression 0.65×12 entails multiplying the decimal 0.65 by the whole number 12. By understanding decimals and multiplication, we can calculate the value of this expression step by step. In this case, the result is 7.80, which has various practical implications depending on the context.
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