How Do You Divide Decimals – Hey guys! Welcome to this video on dividing decimals! Dividing by decimals may not seem like the most useful tool, but it can actually come in handy in many situations in everyday life.
Now you may be wondering when dividing decimal places would be useful. Well, 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 we would like to tell the assistant how many gallons to put in your car. How many liters of fuel should you ask for?
How Do You Divide Decimals
Or let’s say you are building a house and need 4.85 foot pieces of lumber. A local shop sells large wooden beams that are 28 feet long. In the shop, you ask yourself: how many pieces of wood can you cut from each beam?
Engaging Online Games For Practicing Dividing Decimals
Your first step would be to write the problem in the same way as any other long division problem. It should look like this:
It would be much easier to work with whole numbers instead of numbers with decimals when solving this problem.
The easiest way to do this is to multiply each number in the expression by 10. As a general rule, every time you multiply a number by 10, move the decimal point one place to the right. If we multiply 0.5 and 4.5 by 10, we get:
Now we would solve (45div 5) as usual. Since this is a relatively easy problem, we don’t need to go through the steps of long division. (5times 9=45).
Dividing To Make Decimals 2 (year 6)
You may be wondering if there is anything we need to do to change this answer. After all, we have changed both numbers in our expression. How can the answer be correct for our original expression? However, if you pull out your calculator, you’ll see that dividing 4.5 by .5, our original expression, also gives 9, just like dividing 45 by 5.
The first step is to multiply each number by 10 to turn these decimal numbers into whole numbers. If we start with 3.5, this would give us 35. However, if we look at the second number in our expression, 15.75, we see that multiplying by 10 once is not enough. This would give us 157.5, which is still not a whole number. So what do we do in this case?
Remember the key rule when dividing numbers by decimals – you must do the same for both numbers in the expression. To make 15.75 a whole number, we need to multiply it twice by 10, or, you could say, multiply it by 100. This actually moves the two decimal places to the right, giving us 1575.
As mentioned earlier, we need to do the same with both numbers, so now we multiply 3.5 by 10 (or by 100) twice. We move the decimal point two places to the right and add a zero to fill the empty space. Now we have (1, 575div 350).
Divide Decimal By A Whole Number
The problem now is long division. 350 does not go into 1, 15, or 157, so we have to guess how many times it goes into 1,575. 350 goes into 1,000 about 3 times, so 4 would be a good estimate of how many times it goes into 1,575. Let’s do some quick multiplication to double check. (350times 4).
So when we multiply (4times 0=0) and multiply (4times 5) to get (20). We transfer (2), (4times 3=12), then add (2), which gives us (14). So we have (1, 400) which is the best fit that we plug into (1, 575). So now we write (4) over our (5) so we now have (1, 575-1, 400) which leaves us with (175).
Now we divide (1, 750div 350) by trial and error. Bearing in mind that we saw earlier (350times 4=1, 400), we can see that (350times 5) will give us exactly (1, 750), which means our be adding (5) right after the decimal place next to our (4). This gives the final solution (4,5).
Although dividing decimals may seem intimidating at first, remember that it is essentially the same as regular long division. Remember the strategy we discussed for turning our numbers with decimals into whole numbers: Multiply both numbers in the expression by a multiple of 10 to move the decimal point as many times as needed. Treat both numbers exactly the same way and you’re sure to get the right answer.
Division Of Decimals By 2 Digit Number
Divide decimals by multiplying both numbers by a factor of 10 so that the divisor no longer has a decimal value. Then use long division for normal division. Place the decimal point in the quotient directly above the decimal point in the dividend.
Divide decimals by whole numbers in the same way that you divide whole numbers by themselves, but put the decimal point in the answer in the same place as it is in the original number.
Divide decimals by long division, making sure to multiply by the product 10 if there is a decimal in the divisor. Place the decimal point in the quotient directly above the dividend place.
To divide decimals with models, first color the first number, your dividend. Then circle the groups from the second number, your divisor. Your answer or quotient is the number of circled groups.
Dividing By Decimals Textbook Exercise
If there is a remainder when dividing decimals, add a zero to the end of the dividend and continue dividing until there is no remainder.
The correct answer is 4.79. To divide a decimal number by a whole number, divide by the long as you would two whole numbers, but put the decimal point in the answer in the same place as it is in the dividend.
The correct answer is 0.7185. To divide a decimal number by a whole number, divide by the long as you would two whole numbers, but put the decimal point in the answer in the same place as it is in the dividend. If it does not divide evenly, add 0 to the end of the dividend and continue dividing until there is a remainder.
The correct answer is 230.9. First, multiply both numbers by 10 to remove the decimal part in the divisor.
Decimal Dividing Decimals By Decimals Worksheet
The correct answer is 3 738. First, multiply both numbers by 1 000 to remove the decimal part in the divisor.
The correct answer is 22:15. First, multiply both numbers by 100 to remove the decimal part in the divisor. In other words, we multiply the factors to find the product and divide the product by one of the factors to find the other factor, as shown in the example below.
Knowing which number is the divisor and which number is the divisor is essential in solving any division problem.
And let’s remember the steps for long division because we’ll need them when we divide decimals.
Dividing Decimals — Theory & Examples
And now it’s time to calculate. To do this, we ask ourselves: “How many times” does the divisor enter the dividend?
Then we multiply our divisor by the number that goes to the divisor, or as close as possible without going over, and we subtract it from the dividend. Then we drop the next number and repeat the process.
Now it’s time to talk about the two types of decimal division and the three types of solutions we will find.
If we have an integer divisor, we “push” the decimal point up from the house, as shown in the example.
Multiply And Divide Decimals
But if the divisor contains a decimal, we will have to convert it to an integer.
We multiply the divisor and the dividend by a power of ten, so that the divisor is a whole number.
In other words, we move the decimal point of the divisor to the right until it produces a whole number and moves the same number of places on the dividend, as Math.com specifies. In other words, when you move the decimal point in the divisor, you must also move the decimal point in the dividend.
We then “push” the new decimal out of the house and follow the long division steps as before to find our quotient.
Dividing Decimals Up To 2 Decimal Places By 10, 100, And 1 000 Mentally
However, it is important to know that we no longer leave our answers with leftovers. Instead, we’ll keep dividing and adding null parentheses as needed until we find:
When we encounter this third type of situation, we usually stop when we get past 4 or 5 decimal places.
Decimal division is usually discussed first in 5th grade, where you will need to use only integer divisors or simply base-ten decimal divisors.
In 6th and 7th grade and even 8th grade, you will work with whole numbers and decimal divisors and apply these skills to multi-digit decimals.
Dividing Decimals Teachertwins©2014. Warm Up Ppt Download
This first example is when we divide by an integer (ie the divisor of the integer) with the final answer.