# 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

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.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6