 # How To Divide Decimals By Decimals

How To Divide Decimals By Decimals – Hi friend! Welcome to this video on dividing decimals! Dividing decimals may not seem like the most useful tool, but it can be really useful in many situations in everyday life.

Now you might be wondering when dividing by decimals is useful. Let’s say you have \$26.84 in your bank account and want to buy gas for your car without going over your budget. Each gallon costs \$3.69, and you need to tell your lender how many gallons you want to put in your car. How many liters of gasoline should I ask for?

## How To Divide Decimals By Decimals

Or, let’s say you’re building a house and need a 4.85-foot piece of wood. Local stores sell large 28-foot wooden beams. Curious about the store. How many pieces of wood can you cut from each beam?

## Division Of Decimals (powers Of 10 And 0.1) Worksheet

The first step is to write the problem like any other long division problem. It should be:

When solving this problem, it will be easier to work with whole numbers instead of decimal places.

The simplest way to achieve this is to multiply each number in the expression by 10. In general, whenever a number is multiplied by 10, it actually moves the decimal point one place to the right. Multiplying 0.5 and 4.5 by 10 gives:

Now we will solve for (45div 5) as usual. Since this is a relatively simple problem, there is no need to go through lengthy division steps. (5times 9=45).

#### Decimal Operations Activities Your Students Will Love!

You may be wondering what steps need to be taken to change this answer. Eventually we changed two numbers in the equation. How can the answer to the original expression be correct? But if you pull out your calculator, you’ll see that dividing 4.5 by 0.5 gives you the original expression of 9, just like dividing 45 by 5.

The first step is to multiply each number by 10 to convert the number with decimals to an integer. If you start with 3.5, you get 35. However, looking at the second number in the expression, 15.75, you can see that multiplying by 10 once is not enough. This still gives me 157.5 which is not an integer. What to do in this case?

Remember the key rule when dividing numbers by prime numbers. The same should be done for both numbers in the expression. To make 15.75 an integer, you need to multiply 10 twice. That is, multiply by 100. This actually moves the decimal point two places to the right, which is 1,575.

As mentioned earlier, we now multiply 3.5 by 10 twice (or by 100), since we need to do the same for both numbers. Move the decimal point two places to the right and add a zero to fill in the empty place. Now we have (1, 575div 350).

### Year 6 Divide Decimals By Integers Lesson

Now the problem is long division. 350 doesn’t go into 1, 15, or 157, so you have to guess how many times it goes into 1,575. I did a quick double check for a quick double check. (350double 4).

So multiplying is (4times 0=0) and multiplying by (4times 5) is (20). Do (2), (4×3=12), then add (2) to get (14). So we have (1, 400), which is the best match we’re going to put in (1, 575). Now, writing (4) over (5) gives (1, 575 – 1, 400), leaving a remainder of (175).

Now, by trial and error, divide (1, 750div 350). (350times 4=1, 400) Given what we saw before, we see that (350times 5) gives exactly (1, 750). (5 ) Right after the decimal point right next to (4). This gives a final answer of (4.5).

Remember that dividing by decimals may seem daunting at first, but it’s basically the same as regular long division. Don’t forget the strategies we discussed for turning numbers containing decimals into whole numbers. Multiplies two numbers in the expression by a multiple of 10, shifting the decimal point as necessary. Treat both numbers the same way and you’ll get the correct answer.

## Math 6 Module 9: Division Of Decimals Up To 2 Decimal Places By Whole Numbers And Division Of Mixed Decimals Up To 2 Decimal Places

Multiply both numbers by a factor of 10 and divide by a decimal number so that the divisor no longer has a decimal value. Then divide using long division as usual. Place the decimal point at the quotient just above the decimal point in the dividend.

Divide decimals by whole numbers the same way whole numbers are divided by each other, but place the decimal point in the answer in the same place as the original number.

When dividing decimals using long division, multiply by a multiple of 10 if there is a decimal point in the divisor. Place the decimal point at the quotient immediately above the dividend.

To divide decimals using the model, prime the first number, the dividend. Next, circle the second number, the divisor. The number of groups circled is the answer or quotient.

### Dividing To Make Decimals 2 (year 6)

When dividing by a prime number, if there is a remainder, add 0 to the end of the dividend and divide until there is no remainder.

The correct answer is 4.79. To divide a decimal by an integer, divide the length as if dividing by two integers, but put the decimal point in the answer in the same place as the dividend.

The correct answer is 0.7185. To divide a decimal by an integer, divide the length as if dividing by two integers, but put the decimal point in the answer in the same place as the dividend. If it doesn’t divide evenly, add 0 to the end of the dividend and continue dividing until there is nothing left.

The correct answer is 230.9. First, the two numbers are multiplied by 10 to remove the fractional part of the divisor.

### Dividing Decimals By 10, 100 Or 1,000

The correct answer is 3,738. First, the two numbers are multiplied by 1,000 to remove the fractional part of the divisor.

The correct answer is 22.15. First, the two numbers are multiplied by 100 to remove the fractional part of the divisor. Decimal division is similar to integer division, but a decimal point is inserted after each decimal place. Mathematicians divide decimals similarly to how integers are divided. Before understanding how to divide decimals, you must first understand what decimals are and what decimal points mean.

A decimal number is a type of number that has two parts, an integer and a fraction, separated by a decimal point. It is called the decimal point because it lies between the part of the integer and the fraction. Additionally, these numbers can be added, subtracted, multiplied, and divided using various arithmetic operations.

When dividing integers, decimals are also divided, but the handling of decimals is different. Prime numbers can be divided in the following ways:

## Dividing By Decimals Textbook Exercise

A decimal point (also called a “decimal separator”) uses a dot or period to separate the fractional part of a number from the whole part. However, in the UK, children are taught to use periods instead of commas as decimal separators. To help children understand decimal numbers, the next section explains the relationship between decimal numbers and fractions.

The integer and decimal parts of the number are separated by periods. A decimal point is a decimal point. Values ​​less than 1 appear after the decimal point. This is called the basic decimal division rule.

Mathematicians divide prime numbers according to certain rules. The example below shows how to divide a decimal number by an integer number.

Step 2: Dividends have a decimal point above the decimal point of the share. Drop by 1/10th.

## Multiply & Divide Decimals Poster

Step 3: Divide the 10th number by the divisor and write a zero in front of the 10th number if this is not possible.

The formula for dividing a decimal number by another decimal number is: When dividing a number, you must convert the divisor to an integer by removing the decimal point on the right. Again, remove the decimal point above the even point on the right. This can be inferred from the following sample.

Divide a number by 10, 100 and 1000 to find decimal division. Consider the number 97.5 10 = 9.75. So the numbers 97.5 and 9.75 are the same, i.e. 9, 7, and 5, but the decimal point of the quotient has been shifted (to the left). So if you divide the decimal by 10