Scientific Notation

Standard to Scientific Notation

100

Convert 340 to standard notation 

3.4 x 10²

200

Convert 5,000 into scientific notation 

5 x 10³

300

Convert 657,800 to scientific notation 

6.578 x 10⁵

400

Convert .00009681 into scientific notation 

9.681 x 10^-5

500

Convert .0000001255 to scientific notation  

1.255 x 10^-7

Scientific notation to Standard

100

Convert 3 x 10² to scientific notation 

300

200

Convert 1.1 x 10² to standard notation 

110

300

Convert 4.56 x 10³ to standard notation 

4,560

400

Convert 3.568 x 10^-4 to standard form       

.0003568

500

4.567 x 10^-2

.04567

Adding and Subtracting in Scientific Notation

100

(4 x 10²) + (3 x 10²)

7 x 10²

200

(5 x 10³) + (4 x 10³) 

9 x 10³ 

300

(6 x 10³) + (5 x 10³) 

1.1 x 10⁴ 

400

(2 x 10⁴) - (1.5 x 10⁴)

5 x 10³

500

(4 x 10^-6) + (8 x 10^-6)

1.2 x 10^-5

Multiplying and Dividing in Scientific Notation

100

(4 x 10³) x (2 x 10²)

8 x 10⁵

200

(9 x 10⁵)DIVIDED BY (3 x 10³)

3 x 10²

300

(6 x 10⁴) x (4 x 10⁵)

2.4 x 10¹⁰

400

(4 x 10^-2) x (3 x 10^-12)

1.2 x 10^-1

500

(2 x 10⁵) DIVIDED BY (4 x 10^-6)

5 x 10¹⁰

Comparing Numbers in Scientific Notation

100

Which number is LARGER 8 x 10⁴ or 7.2 x 10⁴?

8 x 10⁴​​​​

200

Which number is SMALLER? 9.136 x 10³ or 1.1 x 10⁴?

1.1 x 10⁴

300

What number is LARGER 3.21 x 10^-3 or 8.999 x 10^-5

3.21 x 10^-3 

400

How MUCH larger is 8 x 10⁶  than 4 x 10²?

2 x 10⁴ or 20,000

500

ABOUT how much larger is 5.912 x 10⁵ than 2.71 x 10³

2 x 10²  or 200