When multiplying decimals where does the decimal go?

Last Update: April 20, 2022

This is a question our experts keep getting from time to time. Now, we have got the complete detailed explanation and answer for everyone, who is interested!

Asked by: Orrin Bernhard
Score: 4.3/5 (19 votes)

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 move the decimal point?

If there IS a decimal point, move it to the right the same number of places that there are 0s. When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. So when dividing by 10, move the decimal point one place, by 100 two places, by 1000 three places and so on.

Do you line up the decimals while multiplying decimals?

Multiplying Decimals. ... Do not line up the decimal points, just the right-most digits. Temporarily ignore the decimal points and multiply just as if you were multiplying whole numbers. Count the total number of digits after the decimal points in the original numbers.

How do you determine where to place the decimal point in the product?

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

Why do we move the decimal point when multiplying?

It's simply a matter of counting how many factors of 10 appear in the denominator after the multiplication. Each factor of 10 in the denominator moves the decimal point one place to the left.

Multiplying Decimals - Where Does The Decimal Go?

39 related questions found

Why do you move the decimal point when multiplying by 10?

Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.

Where will we put the decimal point in the quotient?

Notice that the decimal point in the quotient is directly above the decimal point in the dividend. To divide a decimal by a whole number, we place the decimal point in the quotient above the decimal point in the dividend and then divide as usual.

How do you know how many decimal places to use?

For the number of decimal places stated, count that number of digits to the right of the decimal and underline it. The next number to its right is called the 'rounder decider'. If the 'rounder decider' is 5 or more, then round the previous digit up by 1.

How can I multiply 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.

What are the four rules of decimals?

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

Why do you not line up decimals when multiplying?

Why is it not necessary to line up the decimal point to multiply? In addition and subtraction, it is important to line up the place value columns because we can only add or subtract digits in the same place value columns.

Why do we line up decimals?

In order to keep the numbers in the proper place-value column when adding decimals, align the decimal points. This will keep the numbers aligned; ones to ones, tenths to tenths, hundredths to hundredths, and so on. ... You will see that place value is maintained, and that the decimal points align from top to bottom.

How do you move two decimal places?

To round to a decimal place:
  1. look at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places.
  2. draw a vertical line to the right of the place value digit that is required.
  3. look at the next digit.
  4. if it's 5 or more, increase the previous digit by one.

How do you divide decimals step by step?

Dividing Decimals
  1. Step 1: Estimate the answer by rounding . ...
  2. Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number. ...
  3. Step 3: Divide as usual. ...
  4. Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

How do you multiply decimals by 100?

To multiply by 100, you move the digits two places to the left. What is 3.12 × 100? To multiply by 100, you move the digits two places to the left. So 3.12 × 100 = 312.

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 does two decimal places look like?

Rounding to a certain number of 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 round to zero decimal places?

Round a number up by using the ROUNDUP function. It works just the same as ROUND, except that it always rounds a number up. For example, if you want to round 3.2 up to zero decimal places: =ROUNDUP(3.2,0) which equals 4.

How many decimal places should I round to?

As a third example, p values, it has been suggested, should be rounded to one or two decimal places. For p values above the conventional 0.05 cut-off there is little justification for quoting more than one decimal place, while for significant results three or even four decimals may be necessary.

When the decimal number is divided by itself the quotient is 1?

Yes, the given statement is true. As if we divide any non-zero whole number divided by itself then it will give quotient 1. For eg.. If we divide 2 by 2 itself, then it will give quotient 1.

What is the quotient if you divide?

The quotient is the number obtained by dividing one number by another. For example, if we divide the number 6 by 3, the result so obtained is 2, which is the quotient. It is the answer from the division process. The quotient can be an integer or a decimal number.

How do you solve 4 divided by 3?

4 divided by 3 is equal to 1 with a remainder of 1 (4 / 3 = 1 R. 1). When you divide 4 by 3, you are not left with an equal number of groups because 3...