3 Feb 2014
There are certain rules to round decimals that cannot be overlooked when we round decimals to a certain number, we replace the figure we have with the one that is closest to it. Find out how it can be achieved.
Example: Round 1.25687
to 2 decimal places
Look at the decimal place after 5 (because it is at the second place after decimal)
Case 1: If the number in the next decimal place is > 5, add 1 to the number in the place you have rounded. So the number becomes 1.26
Case 2: If the number in the next decimal place is < 5, we just Write the number out as it to the required number of places.
E.g. 1.254 becames 1.25
26 jan 2014
Trick to add time
For time related problems here is a quick and easy trick to add time. This simple way will teach you to add hours and minutes together.
Step 1: Let's add 1 hour and 35 minutes and 3 hour 55 minutes together.
Step 2: Make 1 hour 35 minutes into one number i.e.135.
Similarly, 3 hours 55 minutes will become 355.
Step 3: Add, 135 + 355 = 490.
Step 4: if the minutes are 60 or more, subtract 60 from minutes;
90 - 60 = 30
And add 1 to hours; 1 + 4 = 5
So the grand total becomes 530
Answer: 5 hrs and 30 minutes.
Here is another example : Add 2 hours 45 minutes and 1 hour 10 minutes
Step 1: The two numbers obtained from time are: 245 and 110.
Step 2: 245 + 110 = 355
Step 3: Here minutes are less than 60, so the total time becomes 3 hours 55 minutes.
14 jan 2014
Convert recurring decimal to fraction
In school Students keep dealing with recurring decimals and their problems. The traditional method is length and time Consuming. Here is a short trick to convert recurring decimals to fractions.
Say the number is 2.1363636.....
Step 1: First ignore the digit on the left digit of decimal I.e 2.
Step 2: The denominator will be 990.
(To get the denominator of the fraction, we need to use 9s for each digit of the repeating part. The fixed digit(s) is offset by putting a trailing Zero (990)
Step 3: For the numerator, subtract the fixed part from the number (without repetition).
Numerator = 136 - 1 = 135
Step 4: The digit 2, which was ignored earlier will simply be added to the left of the resultant fraction.
Step 5: Answer : 2 (135/990)
Now you try it.
Find fraction of 0.4444............
7 jan 2014
Tough Problems with easy solution
.jpg)
Percentage word Problems are often considered tough by the Students, you just have to understand the trick of solving and then you can crack any other similar Percentage Word Problem.
Example: 24 students in a class took an algebra test. If 18 Students passed the test, what Percent do not Pass?
Step 1. Find out how many Students did not Pass =
24 - 18 = 6
Step 2. Write down the equation.
X% of 24 = 6 or x% times 24 = 6
Step 3. To get x%, just divide 6 by 24.
6/24 = 0.25
25/100 =25%
Answer: 25% of Students did not pass the test.
31 Dec 2013
The Square root trick
.jpg)
Solving quadratic equation using old factoring method or formula may be time consuming. Here is a trick to solve quadratic equations by taking the square root of both sides. It's really easy!
Say we have the equation Note:- "x^2" means square 2.
X^2 - 16
Step 1. Put the equation
X^2 - 16 =0
Step 2. First get the x^2 alone; x^2 = 16
(By moving 16 to the right hand side of = )
Step 3. In order to undo square power on x;
√x^2 = √16
(We will take square root of both the sides)
Step 4. 16 = 4^2, So √16 = 4
X = 4 (Because square and square roots undo each other)
Step 5. On factoring we will get all Possible answers.
Answer : {+4, -4}
There are certain rules to round decimals that cannot be overlooked when we round decimals to a certain number, we replace the figure we have with the one that is closest to it. Find out how it can be achieved.
Example: Round 1.25687
to 2 decimal places
Look at the decimal place after 5 (because it is at the second place after decimal)
Case 1: If the number in the next decimal place is > 5, add 1 to the number in the place you have rounded. So the number becomes 1.26
Case 2: If the number in the next decimal place is < 5, we just Write the number out as it to the required number of places.
E.g. 1.254 becames 1.25
26 jan 2014
Trick to add time
For time related problems here is a quick and easy trick to add time. This simple way will teach you to add hours and minutes together.
Step 1: Let's add 1 hour and 35 minutes and 3 hour 55 minutes together.
Step 2: Make 1 hour 35 minutes into one number i.e.135.
Similarly, 3 hours 55 minutes will become 355.
Step 3: Add, 135 + 355 = 490.
Step 4: if the minutes are 60 or more, subtract 60 from minutes;
90 - 60 = 30
And add 1 to hours; 1 + 4 = 5
So the grand total becomes 530
Answer: 5 hrs and 30 minutes.
Here is another example : Add 2 hours 45 minutes and 1 hour 10 minutes
Step 1: The two numbers obtained from time are: 245 and 110.
Step 2: 245 + 110 = 355
Step 3: Here minutes are less than 60, so the total time becomes 3 hours 55 minutes.
14 jan 2014
Convert recurring decimal to fraction
In school Students keep dealing with recurring decimals and their problems. The traditional method is length and time Consuming. Here is a short trick to convert recurring decimals to fractions.
Say the number is 2.1363636.....
Step 1: First ignore the digit on the left digit of decimal I.e 2.
Step 2: The denominator will be 990.
(To get the denominator of the fraction, we need to use 9s for each digit of the repeating part. The fixed digit(s) is offset by putting a trailing Zero (990)
Step 3: For the numerator, subtract the fixed part from the number (without repetition).
Numerator = 136 - 1 = 135
Step 4: The digit 2, which was ignored earlier will simply be added to the left of the resultant fraction.
Step 5: Answer : 2 (135/990)
Now you try it.
Find fraction of 0.4444............
7 jan 2014
Tough Problems with easy solution
Percentage word Problems are often considered tough by the Students, you just have to understand the trick of solving and then you can crack any other similar Percentage Word Problem.
Example: 24 students in a class took an algebra test. If 18 Students passed the test, what Percent do not Pass?
Step 1. Find out how many Students did not Pass =
24 - 18 = 6
Step 2. Write down the equation.
X% of 24 = 6 or x% times 24 = 6
Step 3. To get x%, just divide 6 by 24.
6/24 = 0.25
25/100 =25%
Answer: 25% of Students did not pass the test.
The Square root trick
.jpg)
Solving quadratic equation using old factoring method or formula may be time consuming. Here is a trick to solve quadratic equations by taking the square root of both sides. It's really easy!
Say we have the equation Note:- "x^2" means square 2.
X^2 - 16
Step 1. Put the equation
X^2 - 16 =0
Step 2. First get the x^2 alone; x^2 = 16
(By moving 16 to the right hand side of = )
Step 3. In order to undo square power on x;
√x^2 = √16
(We will take square root of both the sides)
Step 4. 16 = 4^2, So √16 = 4
X = 4 (Because square and square roots undo each other)
Step 5. On factoring we will get all Possible answers.
Answer : {+4, -4}
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