How Do You Multiply Decimals Step By Step?

by | Last updated on January 24, 2024

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To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor . Finally, put the same number of digits behind the decimal in the product.

What are the steps to multiplying decimals?

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor . Finally, put the same number of digits behind the decimal in the product.

How do you multiply decimals for dummies?

  1. Perform the multiplication as you would for whole numbers.
  2. When you’re done, count the number of digits to the right of the decimal point in each factor and add the result.
  3. Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.

What are the 5 steps for multiplying decimals?

  1. Line up the numbers on the right – do not align the decimal points.
  2. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
  3. Add the products.

How do you multiply a decimal by a decimal?

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.

What are the four rules of decimals?

You should become efficient in using the four basic operations involving decimals— addition, subtraction, multiplication, and division .

What are the 4 steps for multiplying decimals?

  1. Step 1: Complete the multiplication as you normally would, as if the decimals were not there. ...
  2. Step 2: Determine the total number of digits after the decimal points in the numbers you’re multiplying together. ...
  3. Step 3: Place the same number of digits behind the decimal point in the product.

How do you multiply decimals by 10?

  1. Multiplying decimals by 10. To multiply by 10, you move the digits one place value to the left. Let’s look at an example: ...
  2. Multiplying by 100. To multiply by 100, you move the digits two places to the left. 3.12 x 100 = 312. ...
  3. Multiplying by 1000. To multiply by 1000, you move the digits three place value places to the left.

How do you divide decimals examples?

To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number , and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.

What is the second step in multiplying decimal numbers?

Step-1: Ignore the decimal point and multiply both the numbers. Step-2: Count the number of decimal places in the decimal number . Step-3: Then, place the decimal point in the product such that the number of decimal places in the product and the original decimal number should be the same.

How can I learn decimals?

Decimals are a shorthand way to write fractions and mixed numbers with denominators that are powers of 10 , like 10,100,1000,10000, etc. If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. For example, the decimal 0.3 is the same as the fraction 310 .

How do you calculate decimal places?

If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74 . 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74).

How do decimals work?

Decimals are a shorthand way to write fractions and mixed numbers with denominators that are powers of 10 , like 10,100,1000,10000, etc. If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. For example, the decimal 0.3 is the same as the fraction 310 .

What does 2 decimal places look like?

4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74). 4.735 is halfway between 4.73 and 4.74, so it is rounded up: 4.735 rounded to 2 decimal places is 4.74.

How do you shift decimals?

When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.

What are the rules for dividing decimals?

To divide a decimal number by a whole number, long divide as you would with two whole numbers , but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.