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How to Multiply Decimals

February 20, 2024 by admin Category: How To

You are viewing the article How to Multiply Decimals  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

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wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 44 people, some of whom are anonymous, have edited and improved the article over time.

This article has been viewed 3,065 times.

Decimal multiplication looks difficult at first glance but is actually very simple if you know how to multiply integers. You can do decimal multiplication the same way you can multiply integers, just remember to add a comma at the end of the problem. So how exactly? This wikiHow teaches you step-by-step how to multiply decimals.

Table of Contents

  • Steps
    • Do the math
  • Advice
  • Warning

Steps

Do the math

Image titled Multiply Decimals Step 1

Image titled Multiply Decimals Step 1

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Put one number above the other. If either factor has more digits, put one above the other. For example, find the product of 0.43 x 0.06. Simply put one of the two factors above the other, then draw a dash to separate the problem and the calculation. [1] X Research Source
Image titled Multiply Decimals Step 2

Image titled Multiply Decimals Step 2

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Ignore the decimal points and do the multiplication as integers. Proceed as usual multiplication. Here’s how to do the multiplication of 0.43 and 0.06: [2] X Research Source

  • Take 6 in 0.06 and multiply by 3 in 0.43, we get 18. Write “8” below the number 6, write a small 1 above the number 4 to remember.
  • Continue multiplying 6 by 4 in 0.43, we get 24. Take 24 plus 1 on the number 4 equals 25. The first row will be 258.
  • Multiplying 0.43 by 0 equals 0, so there’s no need to write it down.
  • The result of the multiplication is 258 if you omit the decimal points.
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Image titled Multiply Decimals Step 3

Image titled Multiply Decimals Step 3

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Count all digits to the right of the decimal point of the factors. To the right of the decimal point of 0.43 and 0.06 are 2 digits (4 and 3 in 0.43; 0 and 6 in 0.06). We have the sum of the digits to the right of the decimal point of both factors: 2 + 2 = 4 digits. [3] X Research Sources
Image titled Multiply Decimals Step 4

Image titled Multiply Decimals Step 4

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How many digits to the right of the decimal point of the factors, you move the decimal point of the temporary result from right to left by as many digits. Since there are 4 digits in total, you need to move the comma from the end of the positive integer 258 to the left 4 times, starting at 8. The comma will go over 2 and be spaced away. [4] X Research Sources
Image titled Multiply Decimals Step 5

Image titled Multiply Decimals Step 5

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Fill in the blank with zero. We will fill in 0 in the space between the decimal point and the number 2. At this point, 258 will become “0.0258”. [5] X Research Sources
  • Image titled Multiply Decimals Step 6

    Image titled Multiply Decimals Step 6

    {“smallUrl”:”https://www.wikihow.com/images_en/thumb/1/1a/Multiply-Decimals-Step-6-Version-3.jpg/v4-728px-Multiply-Decimals-Step-6- Version-3.jpg”,”bigUrl”:”https://www.wikihow.com/images/thumb/1/1a/Multiply-Decimals-Step-6-Version-3.jpg/v4-728px-Multiply- Decimals-Step-6-Version-3.jpg”,”smallWidth”:460,”smallHeight”:345,”bigWidth”:728,”bigHeight”:546,”licensing”:”<div class=”mw-parser -output”></div>”}
    Check the results again. If you want to check if 0.43 multiplied by 0.06 is exactly 0.0258, you can divide 0.0258 by 0.06. If the quotient of the product and one of the factors is the other, your result is correct. We have: 0.0258 ÷ 0.06 = 0.43. Similarly, 0.258 ÷ 0.43 = 0.06. So, 0.43 × 0.06 = 0.0258.
  • Advice

    • Try it out. If the given factors are too small (like the example above), the product will be close to zero.
    • You can also think of this as multiplication between integers. Do the multiplication as usual and then check the result with division. If this is correct, specify where to place the decimal point.
    • When moving the decimal point from right to left in the result, if there are not enough digits, you can continue to move the comma forward and leave equal spaces.
    • Multiplying decimals is no different from multiplying integers, except that you need to add the decimal point in the correct place in the result.
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    Warning

    • It is not required to write the decimals in a straight line. This operation is only important when you are doing addition and subtraction.
    X

    wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 44 people, some of whom are anonymous, have edited and improved the article over time.

    This article has been viewed 3,065 times.

    Decimal multiplication looks difficult at first glance but is actually very simple if you know how to multiply integers. You can do decimal multiplication the same way you can multiply integers, just remember to add a comma at the end of the problem. So how exactly? This wikiHow teaches you step-by-step how to multiply decimals.

    Thank you for reading this post How to Multiply Decimals at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

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