4th grade maths

Example Problems for 4th Grade:

Example 1:

Find the number which corresponds to the expanded form.

9* 10000 + 5 * 1000 + 7 * 10 + 5

Solution:

9 * 10000 + 5 * 1000 + 7 * 10 + 5 = 90000 + 5000 + 70 + 5

95075

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4th grade maths

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Divide numbers

How to divide numbers

Example: How to divide 3 by 6?

Given: 3 divided by 6
Mode of operations: Division
3/6=1/2

How to solve division?

How to solve division of following terms:

a) 2/4 b) 6/9 c) 25/5

Given: Mode of operation: Division

a) 2/4 = 2/(2x2) = 1/2
b) 6/9 = 3x2/(3x3) = 2/3
c) 25/5 = 5x5/5 = 5

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Rational method

Solve the coefficient of the equation by rational method.

1 + 27 / (x ² - 9) = 2

Sol:

Step1: This equation has a rational expression. Multiply the equation by the denominator term (x ² – 9)
(x ² - 9 )(1 + 27/ (x ² – 9)) = (x ² – 9) 2
Simplify.
(x ² – 9)+ 27 = 2 (x ² – 9)
Step2: Multiply factors and group like terms.
x ² + 18 = 2 x ² - 18
Step3: Add – (x ² + 18) to both sides and simplify

x ² = 36
Step4: x = -6 or +6
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square root problems

square root of 196

• Problem 1:

What is the square root of 1962?
Answer:

The concluding answer for what is the square root of 196 is 3√218.

• Problem 2:

What is the square root of 1965?
Answer:

The concluding answer for what is the square root of 1965 is 44.328321.

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Introduction to solve math equation

Introduction to Solve math equations for me:
Solving equations in math is simple and easy as we keep going with the formulae concepts.The equations may be having three types of roots(Solutions). They are
1) Equal roots.
2) Unequal roots.
3) Imaginary or Complex roots.
Here we use a quadratic formula for solving the equations of the form ax²+bx+c=0.
And the formula is

                           The value of √(b2 - 4ac) Decides weather the roots are Equal or Unequal or Complex.
This value is commonly called as "Discriminant" .
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Trigonometric Identities

Table of Trigonometric Identities:

Trig identity solver

Reciprocal Identities: sin
cosec u inverse function will be sin u
sec u inverse function will be cos u
Cot u inverse function will be Tan u
u inverse function will be co sec u
Cos u inverse function will be sec u
Cot u is the inverse function of Tan u
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Mean devaition

What is Mean Deviation?
First dispersion used in the each computation is mean deviation. It is the mean of the difference between the each mean and each value. The mean deviation is also called as mean absolute deviation. mean deviation is a discrete distribution. It has two steps.
1. Find the mean value
2. Subtract the mean from each value; take the absolute value of each difference, sum the absolute values, then divide by the number of values.
Mean Deviation=∑ |x-x¯| / n
The average of difference (without sign) between each value in the given set is called as mean deviation.
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