Decimals often baffle students when it comes to multiplication. However, with a little practice and understanding of the concept, multiplying decimals with whole numbers can become as easy as pie. In this article, we will explore the most common questions students have about multiplying decimals with whole numbers and provide detailed answers to help demystify the process.

How do I multiply a decimal with a whole number?

To multiply a decimal with a whole number, simply ignore the decimal point at first and multiply the numbers as if they were both whole numbers. After obtaining the product, count the total number of decimal places in both the decimal and whole number. Place the decimal point in the product, counting from the right, according to the total number of decimal places. For example, let's multiply 3.5 with 4: 4 × 3.5 ------ 14 + 35 ------- 14 + 35 = 49 Since 3.5 has one decimal place and 4 is a whole number, the product will have one decimal place as well. Therefore, the result of multiplying 3.5 with 4 is 49.

What if both the decimal and the whole number have a decimal point?

In this case, begin by multiplying the numbers as if they were both whole numbers. Next, count the total number of decimal places in both the decimal and whole number. Place the decimal point in the product, counting from the right, according to the total number of decimal places. Let's take an example: multiply 2.7 with 0.3 0.3 × 2.7 ------- 81 27 6 ------- 0.81 Since both 2.7 and 0.3 have one decimal place, the product, 0.81, will also have one decimal place. So, 2.7 multiplied by 0.3 equals 0.81.

What if the whole number has more than one digit?

When the whole number has more than one digit, you can use the traditional long multiplication method. Multiply each digit of the whole number by the decimal, starting from the right-most digit. Add the results and adjust the decimal point accordingly. For instance, let's multiply 12.6 with 25: 25 ×12.6 --------- 630 +3150 (multiply each digit of 25 with 12.6) --------- 315 + 630 = 945 Since 12.6 has one decimal place and 25 is a whole number, the product will have one decimal place. Therefore, 12.6 multiplied by 25 equals 945.

Can you give a real-life example of multiplying decimals with whole numbers?

Absolutely! Let's say you went to the supermarket and bought 5 packs of oranges, with each pack priced at $3.65. To calculate the total cost, you would multiply the number of packs (5) with the price per pack ($3.65): 5 ×3.65 ------ 35 +365 (multiply each digit of 5 with 3.65) ------ 365 + 1825 = 2190 Since $3.65 has two decimal places and 5 is a whole number, the product will have two decimal places. Therefore, the total cost of buying 5 packs of oranges at $3.65 per pack would be $21.90. In conclusion, multiplying decimals with whole numbers can be easily mastered by following a simple process. Simply multiply the numbers as if they were whole numbers, count the total number of decimal places, and place the decimal point in the product accordingly. With a little practice, you'll become a pro at multiplying decimals with whole numbers in no time!
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