Operations in Scientific Notation

Scientific Notation & Standard Form

100

Is the following expression written in scientific notation? If not, explain why. 3.25+10^-7

No, 3.25 should be multiplied by 10^-7

200

What is this number in standard form?

1.59 x 10⁶

1590,000

300

What is this number in standard form? 

3.5703 x 10^-3

0.0035703

400

Write this number in scientific notation.

 93,000,000

What is 9.3 x 10⁷ ?

500

Write this number in scientific notation. 

0.000000302

What is 3.2 x 10^-7 ?

Adding

100

Solve the expression 

(3.7 x 10⁹) + (9.04 x 10⁹)

1.274 x 10¹⁰

200

Solve (4.5 x 10⁴)+(1.75 x 10⁴)

6.25 x 10⁴

300

Solve (5.4 x 10³)+(1.2 x 10⁵)

1.254 x 10⁵

400

Solve. (4.81 x 10³) + (7.913 x 10⁵)

What is (7.9611 x 10⁵)?

500

Solve. (3.6 x 10^-2) + (4.5 x 10^-1). 

What is 4.86 x 10^-1?

Subtracting

100

Solve the expression. 

(8.9 x 10⁶) - (2.3 x 10⁶)

What is 6.6 x 10⁶?

200

Solve (2 x 10⁴) - (4 x 10²)

1.96 x 10⁴

300

Solve (2.005 x 10⁵) - (8.664 x 10²)

1.996336 x 10⁵

400

Solve. (6.1 x 10⁴) - (2.43 x 10²)

What is 6.0757 x 10⁴?

500

Solve. (6.03 x 10^-2) - (3.8 x 10^-3)

What is 5.65 x 10^-2?

Multiplying

100

Solve the expression (4x10^-5)*(5x10¹²)

2x10⁸

200

Solve (6x10³)*(2x10⁵)

1.2x10⁹

300

Solve (5.1x10⁴)*(2.5x10³)

1.275x10⁸

400

Solve. (1.25 x 10⁴)(4 x 10⁴)

5 x 10⁸ 

500

Solve. (2.13 x 10^-6)(9.01 x 10^-7)

1.91913 x 10^-12

Dividing

100

Solve the expression (5.3 x 10⁶)/(4.2 x 10⁴)

1.26 x 10²

200

Solve (9 x 10⁸)/(2 x 10²)

4.5 x 10⁶

300

Solve (3.66 x 10^-5)/(2.0 x 10^-3)

1.83 x 10^-2

400

Solve. (4.5 x 10²⁸)/(3 x 10¹⁵)

1.5 x 10¹³ 

500

Solve. (8.08 x 10^-10) / (4 x 10^-3)

What is 2.02 x 10^-7?