Scientific Notation

Very large and very small numbers may be abbreviated by writing them in scientific notation.

Step 1 : Move the decimal to a position immediately following the first digit in the number.

Step 2: Count the number of places you have moved the decimal and write that number as the exponent of 10.

Step 3: If the decimal was moved to the left, the exponent is positive. If the decimal was moved to the right, the exponent is negative.

280 = 2.8 x 10²

0.0012 = 1.2 x 10^-3

If it is written in scientific notation convert it to decimal notation, if it is written in decimal notation convert it to scientific notation.

560

a. 6.5 x 10 ²

b. 5.60 x 10 ³

c. 5. 60 x 10 ⁴

d. 5. 60 x 10²

e. 5.60 x 10 ^-2

1206.5

a. 1.2065 x 10 ³

b. 1.2065 x 10^-3

c. 12.065 x 10 ⁴

d. 120.65 x 10 ³

e. 1.2065 x 10 ²

-5,640,000

a. -5.64 x 10^-6

b. -5.64 x 10⁶

c. 5.64 x 10⁶

d. 6.54 x 10⁵

e. -5.64 x 10⁷

0.00000000062

a. 6.2 x 10^-10

b. 6.2 x 10¹⁰

c. 6.2 x 10 ⁹

d. -6.2 x 10 ¹⁰

e. -6.2 x 10^-10

0.2610000

a. 2.61 x 10⁷

b. 2.61 x 10¹

c. 2.61 x 10^-1

d. -2.61 x 10⁷

e. -2.61 x 10^-7

3.06 x 10⁴

a. 36000

b. 30600

c. 3060000

d. 603000

e. 0.000306

8.99 x 10^-7

a. 0.899

b. 8990000000

c. 89900000

d. 0.0000899

e. 0.000000899

-3.72 x 10⁷

a. -3720000000

b. -0.000000372

c. 0.000000372

d. -37200000

e. -32700000

-0.000012 x 10⁸

a. -1200

b. -12000

c. -12000000000

d. -0.00000000012

e. 0.12

8.312 x 10^-6

a. -0.0000008312

b. 0.008312

c. 0.000008312

d. 8312000

e. 8312000000