ADDING AND SUBTRACTING WITH SCIENTIFIC NOTATION WORKSHEET

About "Adding and subtracting with scientific notation worksheet"

Adding and subtracting with scientific notation worksheet :

Worksheet on adding and subtracting with scientific notation is much useful to the students who would like to practice problems on operations with scientific notation. 

Adding and subtracting with scientific notation worksheet - Questions

1.  Simplify the expression given below. 

(4x10⁵) + (0.1x10⁷)

2.  Simplify the expression given below. 

(0.123x10⁸) + (338.2x10⁵) - (7.1x10⁷)

3.  The table below shows the population of the three largest countries in North America in 2011. Find the total population of these countries.

Adding and subtracting with scientific notation worksheet - Answers

Question 1 : 

Simplify the expression given below. 

(4x10⁵) + (0.1x10⁷)

Solution : 

Method 1 :

Step 1 : 

In the given numbers, the highest power of 10 is 7. 

So, write each number with 10 power 7.

4 x 10  =  0.04 x 10

0.1 x 10  =  0.1 x 10

Step 2 : 

Add the multipliers for each number.

0.04 + 0.1  =  0.14

Step 3 : 

Write the final answer in scientific notation :

0.14 x  10⁷  1.4 x 10

Method 2 :

Step 1 : 

First, write each number in standard notation.

4 x 10  =  400,000

0.1 x  10  =  1,000,000

Step 2 : 

Find the sum of the numbers in standard notation.

400,000 + 1,000,000  = 1,400,000

Step 3 : 

Write the final answer in scientific notation :

1,400,000  =  1.4 x 10

Question 2 : 

Simplify the expression given below. 

(0.123x10⁸) + (338.2x10⁵) - (7.1x10⁷)

Solution : 

Method 1 :

Step 1 : 

In the given numbers, the highest power of 10 is 8. 

So, write each number with 10 power 8.

0.723 x 10⁸  =  0.723 x 10

338.2 x 10⁵  =  0.3382 x 10

6.1 x 10⁷  =  0.61 x 10

Step 2 : 

Simplify the multipliers.

0.723 + 0.3382 - 0.61  =  0.4512

Step 3 : 

Write the final answer in scientific notation :

0.4512 x 10⁸  =  4.512 x 10

Method 2 :

Step 1 : 

First, write each number in standard notation.

0.723 x 10⁸  =  72,300,000

338.2 x 10⁵  =  33,820,000

6.1 x 10⁷  =  61,000,000

Step 2 : 

Simplify the numbers in standard notation.

72,300,000 + 33,820,000 - 61,000,000  =  45,120,000

Step 3 : 

Write the final answer in scientific notation :

45,120,000  =  4.512 x 10

Question 3 : 

The table below shows the population of the three largest countries in North America in 2011. Find the total population of these countries.

Solution : 

Method 1 :

Step 1 : 

First, write each population with the same power of 10.

United States : 3.1 x 10

Canada : 0.338 x 10

Mexico : 1.1 x 10

Step 2 : 

Add the multipliers for each population.

3.1 + 0.338 + 1.1  =  4.538

Step 3 : 

Write the final answer in scientific notation :

4.538 x 10

Method 2 :

Step 1 : 

First, write each number in standard notation.

United States : 310,000,000

Canada : 33,800,000

Mexico : 110,000,000

Step 2 : 

Find the sum of the numbers in standard notation.

310,000,000 + 33,800,000 + 110,000,000  =  453,800,000

Step 3 : 

Write the final answer in scientific notation :

453,800,000  =  4.538 x 10

After having gone through the stuff given above, we hope that the students would have understood "Adding and subtracting with scientific notation". 

Apart from the stuff given above, if you want to know more about "Adding and subtracting with scientific notation", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...