Math in 6th grade is very interesting and varied. Students cover many topics in math like decimals and fractions, how to measure time, volume and mass, calculating discount and interest, statistics and geometry. Much of these concepts will be used in classes ahead and getting a good grasp on them now will serve you well. Math for 6th grade help is a great way to learn math concepts and practice different kinds of problems. It’s available any time you need it and students can access it from the comfort of their homes.

## 6th Grade Math Online

## Solved Examples

**Question 1:**Divide 32 into two parts such that the five times the smaller part is equal to three times the bigger part. Assuming the smaller part as x, from an equation. Find both the parts.

**Solution:**

Let the smaller part be x

Then the greater part = 32 - x

(Sum of two parts is 32)

The problem states:

Five times the smaller part = Three times the bigger part

=> 5x = 3(32 - x)

Solve for x,

=> 5x = 3(32 - x)

=> 5x = 3 * 32 - 3x

=> 5x = 96 - 3x

=> 5x + 3x = 96

=> 8x = 96

Divide each side by 8

=> $\frac{8x}{8} = \frac{96}{8}$

=> x = 12

The larger part = 32 - 12

= 20

Hence two parts are 12 and 20.

Then the greater part = 32 - x

(Sum of two parts is 32)

Step 1:Step 1:

The problem states:

Five times the smaller part = Three times the bigger part

=> 5x = 3(32 - x)

Step 2:Step 2:

Solve for x,

=> 5x = 3(32 - x)

=> 5x = 3 * 32 - 3x

=> 5x = 96 - 3x

=> 5x + 3x = 96

=> 8x = 96

Divide each side by 8

=> $\frac{8x}{8} = \frac{96}{8}$

=> x = 12

Step 3:Step 3:

The larger part = 32 - 12

= 20

Hence two parts are 12 and 20.

**answer****Question 2:**Perform the indicated operation (5.2 * 10

^{3})(6.2 * 10

^{- 5}). Express the answer in decimal form.

**Solution:**

Given (5.2 * 10

= (5.2 * 6.2)(10

= 32.24 * 10

= 32.24 * 10

= .3224

or 0.3224

=> (5.2 * 10

^{3})(6.2 * 10^{- 5})= (5.2 * 6.2)(10

^{3}* 10^{- 5})= 32.24 * 10

^{3 + (- 5)}= 32.24 * 10

^{3 - 5 }= 32.24 * 10^{- 2 }Move the decimal 2 to the left= .3224

or 0.3224

=> (5.2 * 10

^{3})(6.2 * 10^{- 5}) = 0.3224.**answer****Question 3:**Find the LCM of 21 and 35

**Solution:**

Prime factors of 21 = 3 * 7

Prime factors of 35 = 5 * 7

The LCM of 21 and 35 is 3 * 5 * 7 = 105

or LCM(21, 35) = 105.

Prime factors of 35 = 5 * 7

The LCM of 21 and 35 is 3 * 5 * 7 = 105

or LCM(21, 35) = 105.

**answer**