A divisionis one of the four basic operations of mathematics, and its mechanism is a little more complex than that of mathematics. addition, subtraction It is multiplication.
However, with practice division exercises and with the tips and tricks for division calculations that we have prepared, you will be closer to having a good performance in the split accounts. Check out!
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Below are some tips for getting along with division calculations.
1) Know well the algorithm and elements of division.
The first step in learning to do division calculations is to know the division algorithm and the division elements, which are: dividend, divisor, quotient and remainder.
The elements are linked as follows:
dividend = quotient × divisor + remainder
Whenever you finish doing a division calculation, we advise you to take the real proof. This can be done using the link above.
Also, it is important to know what is a remainder and what is not a remainder in a division, as confusion involving the rest can get in the way when it comes to resolving the accounts, leading to negative results. wrong.
To find out what it is and what the rest of the division is for, click here.
2) Know the multiplication table.
Another essential factor in division is knowing the multiplication table, since the two operations are inverses of each other.
When we solve a division, we look for that value that, when multiplied by the divisor, results in the dividend.
Therefore, practice this table and it will be more difficult for you to make mistakes when doing divisions.
3) Know the divisibility criteria.
You divisibility criteria are rules that allow you to identify when a number is or is not divisible by another. Knowing these criteria can make splitting accounts a lot easier.
An example:
When dividing a number ending in 0, 2, 4, 6 or 8 by 2, the remainder will always be zero. How do we know this? For the criterion for divisibility by 2.
At division with numbers ending in zero, we can simplify the calculations by canceling the zeros in the dividend and divisor.
Examples:
The)
B)
w)
d)
Note that for every canceled (clipped) zero in the dividend, there is a canceled zero in the divisor. The quantity must be the same in both numbers, we cannot cut more zeros in one than in the other.
At divide by powers of 10, that is, divisions where the divisor is equal to 10, 100, 1000, 10000, etc., the result will be the number itself plus a comma.
The comma must be placed in the number so that the number of places after the comma is the same number of zeros as the powers of 10.
And so on.
Examples:
The)
B)
w)
d)
At division by 5, just multiply both numbers by 2. In doing so, we will fall into a division by 10, since 5 × 2 = 10. In this way, we can use one of the two strategies seen previously.
Examples:
The)
B)
w)
d)
See that in examples (a) and (b), when multiplying the numbers by 2, we obtain the division of numbers ending in zero and we can cancel.
In examples (c) and (d), we obtain the division of any number by 10, just adding the comma, as we have already learned.
At division of numbers with comma, that is, the decimal numbers, the strategy is to multiply both numbers by a power of 10, so that the decimal point “disappears”.
And so on.
Examples:
The) ⇒ Here we multiply both by 10.
B) ⇒ Here we multiply both by 100.
w) ⇒ Here we multiply both by 1000.
Note that when the number of places after the decimal point is different in the two numbers in the account, we consider the largest number of places, we did this in (b) and (c).
The important thing is to always multiply both numbers by the same power of 10.
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