Abacus basic entries pdf




















Start with the first wire and add 5 to 9. For more information, check out Abacus Addition. The next operation which you will learn is, how to use an abacus in a step-by-step method to perform subtraction? Subtraction is just the reverse process of addition. All you need to do is borrow the digits from the previous column instead of carrying them over. For example, if you want to subtract from After entering in the abacus, start subtracting column by column from the left.

If you subtract 8 from 9 you will receive 1, so you will leave a single bead in the hundreds place. Now move to the tens place. You can't subtract 6 from 3, so you will have to borrow 1 in the hundreds place leaving it with 0.

Now you have to subtract 6 from 13 making it 7. Now move on to the unit's place. Repeat the process. Because you cannot subtract 7 from 2 you have to borrow 1 from the tens place, which will convert 7 present in the tens place into 6. Now subtract 7 from 12 so you will obtain 5. A regular practice will make things easier to perform. Abacus is like training for the mind. Therefore, it requires patience and regular training.

Now let's move on to the most important basic mathematical operation which is multiplication. How to multiply with an abacus? Then follow the strategy of five, as mentioned above. Well, but the above-mentioned strategy can only be utilized in case of numbers that are small. There may be situations wherein the student confronts large numbers.

In those cases, we will follow a different approach. Step 1 - Assign one letter into each column. This makes us feel the first six wires. Leave the rest of the columns to the right as it is for the answer. Step 2 - Multiply 3 with 1 and then 3 with 2. Next, you will multiply 4 with 1 and then 4 with 2.

Step 3 - Record the results of the products in the correct order. Start recording the first product i. This leaves the answer See Fig. Set 6 on rod B. Add 7. The complementary number for 7 with respect to 10 is 3. Therefore, subtract 3 from 6 on rod B and carry 1 to tens rod A leaving the answer In this example, set 11 on rods AB. Subtract 7. Since rod B only carries a value of 1 use the complement. Set 13 on rods AB. Subtract 6. Use the complement again. In this case, the complementary number for 6 with respect to 10 is 4.

Begin by subtracting 1 from the tens rod on A, then add the complementary 4 to rod B to equal 7. This is where students new to soroban can make mistakes. In each of the above examples the operation involves using two rods, a complementary number and a carry over from one rod to another. First subtract the complement from the rod on the right. Then add a bead to the rod on the left. First subtract a bead from the rod on the left. Then add the complement to the rod on the right. When attention is finished on one rod the operator moves on to the next.

There is no back and forth between rods. This saves time. The Good and fundamental technique of Soroban is to work always from left to right. It may look little bit odd and difficult but its extremely important and its the biggest advantage of Soroban. It creates a great agility and speed to solve mathematical problems, because addition and subtraction is done on the same way has we read and hear them. Work from left to right and set 1 in the units place have you seen in the Abacus instrument i.

Setting of one in units place by moving one bead up below the beam now add 2 in the same unit place by moving next two beads up in the same column and you will get the answer has 3. Setting of two in units place by moving two beads up below the beam. Setting of one in tens place by moving one bead up below the beam. Setting of seven in units place by moving two beads up below the beam and one bead down towards the beam.

Setting of three in tens place by moving three beads up below the beam. Setting of two in hundreds place by moving two beads up below the beam. This is where the real fun begins. Soroban calculations will begin when all the beads are empty or cleared. First place the soroban on the table in front of you flat, so that you can tilt the frame towards you. When it is pulled towards you all the beads come down due to gravity then only earth beads will be cleared away from the beam.

Replace the soroban on the table and catch it with your left hand. Then, using the tip of the right hand index finger move the heaven beads up from left to right in a sweeping motion which makes the heaven beads away from the beam look at the figure 7 you will get an clear idea. Then the soroban will not show any value in the rods, this is what is known as a cleared frame. Use only the thumb and index fingers to manipulate beads on a soroban.

The thumb moves the earth beads up toward the beam. When setting numbers on the soroban the operator slides beads up or down so that beads touch the beam. Bringing up one earth bead so that it touches the beam gives a rod a value of 1.

Three earth beads touching the beam give that rod a value of 3. To make a value of 5 clear all the earth beads and move one heaven bead down so that it touches the beam.

Pinching together one heaven bead and two earth beads sets a value of 7 and so on. In Fig. A soroban is made up of a frame with vertical rods on which beads move up and down. Dividing the upper and lower portion of the soroban is a horizontal bar called a beam or reckoning bar. On a modern-day soroban, one bead sits above the beam and four beads sit below.

The beads above the beam are often called heaven beads and each has a value of 5. The beads below are often called earth beads and each has a value of 1. These specially marked rods are called unit rods because any one of them can be designated to carry the unit number.

Repeat the process. Record the next digit of the quotient in the next blank column of the answer section, subtracting the product from the dividend here, eliminating it. Your board should now read 2, followed by blank columns, then 1, 7, showing your divisor and the quotient, Two beads from the bottom portion of the left most column will be pushed up to the center bar. This will be followed by several blank columns.

One bead from the bottom portion of the first answer section column will be pushed to the center bar. In the next answer section column, two beads from the bottom portion will be pushed up to the center bar, and the bead from the top portion will be pushed down to it.

Yes, an abacus is a great tool for teaching children basic math. The different senses involved in using an abacus, like sight and touch, can also help reinforce the lessons. Not Helpful 15 Helpful The type of abacus most commonly used today was invented in China around the 2nd century B. However, abacus-like devices are first attested from ancient Mesopotamia around B. Not Helpful 5 Helpful Your abacus is a Chinese abacus. It has more calculative ability than a Japanese Soroban abacus.

However, the essentials are effectively the same, so these instructions should still work. Not Helpful 27 Helpful My abacus has five beads in the bottom rows. Was it built incorrectly? It says "made in People's Republic of China". As with the last answer to this question, your abacus is a Chinese abacus called suan pan.

It has five beads in the bottom row and two in the upper. This page shows instructions for the Japanese abacus called soroban. The number of columns can be whatever you want it to be.

The important part is the number of beads per column. Not Helpful 24 Helpful Pehaps the Soroban one because it has less beads than a Suan Pan, and also it's the most familiar one.

Columns represent digits in a number. An abacus with one column can represent Two columns can represent Three can represent , and so on. The "maximum" number of columns would simply be however many you can have while still having an abacus that's small enough to be practical. Not Helpful 12 Helpful When you assign each column a place value, you don't have to put 1 on the right, then 10, etc. You could put the decimal point anywhere, so the columns could be 10, 1,. You can determine what each point stands for.

Not Helpful 23 Helpful Yes, an abacus with more columns does not change the structure and methods shown here. The 17 columns mean 17 digits maximum can be calculated. Not Helpful 18 Helpful Let's say you are going to add 24 and Put down the ones digit which is 1 then put the other 1 above the tens digit which means you put 1 above 2 or 3 depends to the number.

The answer is Not Helpful 42 Helpful Include your email address to get a message when this question is answered. By using this service, some information may be shared with YouTube. Submit a Tip All tip submissions are carefully reviewed before being published. You Might Also Like How to. How to. About This Article. Co-authored by:. Co-authors: Updated: January 11, Categories: Mathematics.

Article Summary X To use an abacus to add, first orient it by pushing 1 or 2 beads to the top of each row and 4 beads to the bottom of each row, which will set it back to zero. Italiano: Usare un Abaco. Nederlands: Een telraam gebruiken. Bahasa Indonesia: Menggunakan Sempoa. Thanks to all authors for creating a page that has been read 1,, times. Using the abacus has really been a good way to recall this simple task.

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