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8/9/2019 Short Course Work 1

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SHORT COURSEWORK 1

Opration and Computation

Algorithm of addition and subtraction

Addition is something that is being used to regrouping. It involves numbers. Addition

of natural numbers is independent of the numerals used to represent the numbers

being added. There are a few form of notation. Some make the addition process

become easier for bigger number. Addition is also being imagined as regrouping. It is

when two sets of number are put into one group and being counted together. The

returns of the two sets after being regroup is called sum. They make another number

that is bigger than before they were regroup. Algorithm of addition is being used

when the first and second number each have two digits ore more. If the first and

second number each only have one digit then the algorithm of addition is

unnecessary.

Subtraction is the inverse of addition. If in the addition the sum become bigger, but in

subtraction the sum become smaller. Unlike the addition, this subtraction is not

commutative. So the order of numbers in the operation will change the results. The

result is called the difference between two numbers. There are so many algorithm of

subtraction being used in wide world. Some of them are trade first, left to right

subtraction, counting up, partial differences and same change rules. Traditional

mathematics taught in elementary school children to subtract suing methods suitable

for hand calculation.


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Example of Addition Activity Using 2digit Numbers.

Using paper-and-pencil

-Standard Algorithm For Addition

Whenever we use the standard algorithm and there are 10 or more tens, we need to

regroup the 10 tens into 1 ten and then add the tens. If there are 10 or more tens, we

regroup the 10 tens to make 1 hundred and then add the hundreds, regrouping as

needed. This process continues for as many digits as there are in the addends.

Question:

17+24=

Since this is two-digits number, so the number should be arranges by taking the right

side is ones, and counting as tens in the next column left. That means, 7 and 4 is in

the ones category. The order when being arrange is shown below.


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Think Write

Ones Tens

1 7

+ 2 4

--------------------------

4 1 ANSWER

--------------------------

Add the ones and regroup

Add the tens and regroup

so, after the algorithm had been used, we can get the answer easily. When 17 is

added by 24, the answer is 41.

17+ 24 = 41


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Using Manipulative Materials.

Base-ten Blocks

17

24

The two numbers are shown in the modelled with base-ten blocks. Use the ten-base

blocks to find the sum of the two numbers and write an equation to record the

addition.


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Solution

Step 1

o Started by putting all the same blocks together by the same type .


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St 2

o N t, t ll t t t t t .


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Step 3

Finally put together the 4 tens, and 1 ones.

The sum is 41.