And Then You Have to Divide It Again by 2
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Odd number are numbers that are not a multiple of ii, such as 3, 5, seven, and 9. Since you can't evenly dissever an odd number in half, making such a calculation can be tricky. It's important to remember that an odd number will have a rest of ane when divided by ii. Past using this rule, you can break up a number and catechumen the remainder to easily split.
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Determine the dividend and the divisor. The dividend is the number you lot are dividing, the divisor is the number you are dividing by.[i] In this case, the odd number will exist the dividend, and the divisor will be 2.
- For example, if you are calculating , the dividend is 17, and the divisor is 2.
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Place the dividend under a long sectionalisation symbol. A long division symbol looks like the left and acme side of a box. Place the divisor on the exterior of the long segmentation symbol, to the left of the box.
- For case: .
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Split the dividend by 2. Since you can't divide an odd number by ii, you lot need to notice the greatest number of times two will divide evenly into the dividend. Utilize the multiples of two to help you make up one's mind what this number is. [2] Identify this number on height of the division symbol.
- For example, the greatest number of times 2 tin divide evenly into 17 is viii, since . So you should identify 8 on top of the long partitioning symbol.
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Multiply the number on top of the long sectionalisation symbol by the divisor. Place this number below the dividend and decrease. The difference is your remainder. When yous split up an odd number by 2, yous will always have a residue of 1.[3]
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Convert the remainder to a fraction. To do this, change the remainder into the numerator of a fraction. The denominator of the fraction will be the divisor, in this instance, 2.[4] Yous can change this fraction to a decimal also. The fraction always converts to .
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Plough the number you are dividing into an even number +1. [5] An odd number volition always have a remainder of i when dividing past ii. And then breaking up the number in this way helps yous split up the number quickly, since an even number will have no remainder when dividing by 2. To break up the number into an fifty-fifty number +1, subtract 1 from the number.
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Divide the even number by two. You will likely be able to do this in your head, since it will divide evenly. The easiest style to do it is to accept half of the tens and half of the ones, then add them together.
- For example, half of 70 is 35, and half of 4 is 2, then .
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Add 0.v to the quotient. Since to reach your concluding respond, you demand to add the ii parts together: the even number divided by two, and ane divided by 2.
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Write the number in expanded notation. Expanded notation is breaking upwardly the number to show the value of each digit, co-ordinate to its place value.[6]
- For example, .
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Divide the hundreds place past 2. Or, if you lot accept a larger number, brainstorm with the largest place value, such equally thousands or 10 thousands. Yous volition likely exist able to consummate this division in your caput. If not, y'all can calculate it rapidly by hand. Since the number ends in 0, it is even and will exist evenly divisible by 2. Set this quotient bated for now.
- For case, .
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Divide the tens place by 2. Y'all will likely be able to do this in your head, but yous can also do it by hand if need be. Since the number is a multiple of 10 it will be evenly divisible by 2. Set up this quotient aside for now.
- For example, .
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Intermission up the number in the ones place into an even number +1. Then, divide the even number by ii. You should have no residue; the residual is the +ane y'all removed when you lot broke upwards the number.
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Add the quotients for all the identify values. Since yous expanded the number into place values, and divided each identify value individually by two, now yous have to add together them back together over again.
- For example, .
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Add 0.5 to the sum. Since you removed the remainder of 1 from the ones place earlier dividing past two, you at present have to take half of that ane and add it dorsum into your concluding answer.
- For example, .
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Question
What is 41 divided by 2?
41 divided past 2 is twenty.v. 41 = twoscore + 1, then you could attempt this problem past saying that 40/ii is twenty and 1/two is 0.five. Adding the 2 gives you 20.five.
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