Primary Solutions Math

Introduction to primary solutions math:

In this article, we are going to learn about,

"What is the definition of Mathematics"

"Primary math problems with solutions"

Definition of Mathematics:
Mathematics is a group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape, and space and their interrelationships by using a specialized notation

Primary Solutions Math:

Here are provided some examples of primary math along with the solutions.

Ex 1:

Cost of 3 pencils is 45 cents and that of 5 pencils is 75 cents. What is the proportion?

Sol:

Ratio of the two quantities = 3 : 5

Ratio of their costs = 45 : 75

Therefore, the proportion is 3 : 5 = 45 : 75

Ex 2:

Find the slope of given line 2x+3y=0

Sol:

Given line is: 2x+3y=0

Slope =-x/y

Y==3

X=2

M=slope=-2/3

Ex 3:

Solve 2x + 12 = 0

Sol:

2x + 12 = 0

Put all the variables aside and value on other side.

We get, 2x = -12

Now to get x value divide both sides with 2

2x/2 = -12/2

x = -6

Ex 4:

Is 6 a composite or a prime?

Sol:

1 x 6 = 6

2 x 3 = 6

6 can be divided with 1 and 6 and also with 2 and 3. So 6 is a composite number.

Ex 5:

Write 9 table.

Sol:

Given: 9 table

9 × 1 = 9 (9)

9 × 2 = 18 (9+9=18)

9 × 3 = 27 (9+9+9=27)

9 × 4 = 36 (9+9+9+9=36)

9 × 5 = 45 (9+9+9+9+9=45)

9× 6 = 54 (9+9+9+9+9+9=54)

9 × 7 = 63(9+9+9+9+9+9+9=63)

9 × 8 = 72 (9+9+9+9+9+9+9+9=72)

9 × 9 = 81(9+9+9+9+9+9+9+9+9=81)

9x10=90(9+9+9+9+9+9+9+9+9+9=90)

Ex 6:

A die is rolled on a desk; what is the probability to get number 2 face.

Sol:

Given data:

Total number of out comes = 6 (A die has 6 faces)

Favorable outcome = 1 (only one face is having number 2)

P (E) = Number of favorable outcomes/Total possible outcomes.

Probability to get 2 face is = 1/6.

Ex 7:

Write the place value of  748   

Sol:

Place value of 8 = 8 x ones = 8
Place value of 4 = 4 x tens = 40
Place value of 7 = 7 x hundreds = 700

Ex 8:

Simplify x + y+2x-3y=0

Sol:

Given expression,

x + y+2x-3y=0

Add and subtract the like terms we get ,

X+2x+y-3y=0

3x-2y=0