Elementary course
Before dealing with carry-over mathematics, it is important to know the bit value (sometimes called base- 10). Base- 10 is a method of assigning position values to numbers according to their positions relative to decimals. Each digital position is 10 times larger than its adjacent position. The bit value determines the value of the number.
For example, the value of 9 is greater than 2. They are also single integers less than 10, which means that their bit values are the same as their numerical values. Add them together and the result is 1 1. However, each of 1 has a different bit value. The first 1 occupies 10 bit, which means that its bit value is 10. The second 1 is in bits. Its bit value is 1.
Bit values will come in handy in addition and subtraction operations, especially for two-digit numbers and larger numbers.
increase
Addition is where the mathematical carry-over principle comes into play. Let's do a simple addition problem, such as 34+ 17.
First, arrange two graphs vertically or overlap each other. This is called column addition because 34 and 17 are stacked together like columns.
Next, some mental arithmetic. First, add up the numbers 4 and 7. The result is 1 1.
Look at that number. 1 in the number will be the first number in your final sum. 10 digit, namely 1, must be placed at the top of the other two digits of 10 digit and added together. In other words, when adding location values, you must "keep" or "recombine" them.
More mental arithmetic. Add your 1 to the number 3 and 1 already ranked tenth. The result is 5. Fill in the number in the tenth column of the final total. Writing horizontally, the equation should be as follows: 34+ 17 = 5 1.
subtraction
Bit values also appear in subtraction. You don't inherit values like you do, but take them away or "borrow". For example, we use 34- 17.
Just as you did in the first example, put two numbers in a column, and 34 is above 17.
Third, mentally calculate the time, starting with single digits 4 and 7. You can't subtract a larger number from a smaller number, otherwise you will get a negative number. In order to avoid this situation, we must borrow from ten digits to make the equation hold. In other words, you take a value 10 from 3, and its bit value is 30, thus adding it to 4, making its value 14.
14-7 equals 7, which will occupy a place in our final total.
Now, move to ten positions. Because we removed 10 from the bit value of 30, it is now 20. Subtract the bit value 2 from the bit value 1 of another number to get 1. Writing horizontally, the final equation is as follows: 34- 17 = 17.
Without the help of visualization, this may be a difficult concept to grasp, but the good news is that there are many resources available for learning base- 10 and reorganizing mathematics, including teachers' curriculum plans and students' worksheets.