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VOOZH | about |
Division is one of the four basic operations in mathematics. It means splitting a quantity into equal parts or finding how many times one number fits into another. For example: 12 ÷ 3 = 4
With clever tricks and techniques, division can become remarkably easier and more manageable, such as the following:
Using multiplication facts as division shortcuts is a handy trick. This approach taps into the concept that division is essentially the reverse of multiplication.
When faced with dividing large numbers by 10, 100, or 1000, it might appear daunting at first. However, there's a simple trick that involves shifting the decimal point. This method is incredibly practical, offering a straightforward way to divide large numbers without getting tangled in complex calculations.
For instance, let's say you need to divide 5,000 by 100. Rather than laboriously working through the problem step by step, you can employ the trick of moving the decimal point two places to the left (since you're dividing by 100). Thus, 5,000 becomes 50.00. By discarding the extra zeros, you're left with 50.
Here's a simple division trick that can make calculations easier. If both the dividend and divisor have a common factor, divide them by that factor before performing the division. This simplifies the numbers while keeping the quotient unchanged.
Here's how to do it:
1. Identify a common factor of both numbers. In this case, 2 is a common factor.
2. Divide both numbers by 2.
3. Now divide the simplified numbers. 60 ÷ 3 = 20
This trick is especially useful when working with larger numbers, as it reduces the calculation while keeping the answer the same.
Understanding reciprocals and inverse operations can be helpful math division tricks, especially when kids start dealing with fractions and more complicated numbers. The reciprocal of a number is just 1 divided by that number. Using reciprocals can turn division into multiplication, which many students find simpler.
Question 1: Determine if 729 is divisible by 9.
Solution:
According to the divisibility rule of 9, a number is divisible by 9 if the sum of its digits is divisible by 9. For 729, 7+2+9=187+2+9=18, which is divisible by 9. Therefore, 729 is divisible by 9.
Question 2: Is 3,240 divisible by 6?
Solution:
A number is divisible by 6 if it's divisible by both 2 and 3. Since 3,240 is even (ends with a 0), it's divisible by 2. To check if it's divisible by 3, we add its digits: 3+2+4+0=93+2+4+0=9. Since 9 is divisible by 3, 3,240 is divisible by 6.
Question 3: Determine if 840 is divisible by 8.
Solution:
For a number to be divisible by 8, the last three digits should form a number divisible by 8. In this case, the last three digits of 840 are 840, which is divisible by 8. Hence, 840 is divisible by 8.
