Understanding Scientific Notation

Scientific Notation Notes

Multiple Choice

Positive exponents represent moving the decimal to the left.

• True

• False

Multiple Choice

Negative exponents represent moving the decimal to the right.

• True

• False

Multiple Choice

Numbers greater than one will have a ________ exponent.

• zero

• positive

• negative

• fraction

Multiple Choice

Numbers less than one will have a ________ exponent.

• zero

• positive

• negative

• fraction

Multiple Choice

Scientific Notation has a number between _____ & _____ multiplied by the base of 10 with an integer exponent.

• 0 & 1

• 1 & 10

• -1 & 1

• any number

Multiple Choice

245 & 0.00672 are written in what form?

• Standard Form

• Scientific Notation

Multiple Choice

2 x 10^-5 & 7.69 x 10^-3 is written in what form?

• Standard Form

• Scientific Notation

Multiple Choice

Simplify the following:

(2 x 10³) x (4 x 10⁸)

• 6 x 10²⁴

• 8 x 10²⁴

• 8 x 10¹¹

Multiple Choice

Write 827,000 in scientific notation

• 8.27 x 10⁵

• 827 x 10⁴

• .827 x 10⁶

Multiple Choice

Write 4.2 x 10³

• .0042

• 42

• 4200

• 420

Multiple Choice

Write 549,000 in scientific notation

• 549 x 10³

• 5.49 x 10⁵

• 549 x 10^-1

Multiple Choice

Write 0.0090 in scientific notation

• 90 x 10³

• 9 x 10^-3

• 900 x 10^-4

Multiple Choice

Write 65.1 in scientific notation

• 6.51 x 10¹

• 651 x 10²

• 65.1 x 10⁰

Multiple Choice

Add. Write your answer in scientific notation.

(2.3 x 10⁵) + (7.49 x 10⁵)

• 9.79 x 10¹⁰

• 9.79 x 10⁵

• 7.72 x 10⁵

• 7.72 x 10¹⁰

Multiple Choice

Subtract. Write your answer in scientific notation.

(8.8 x 10⁷) - (6 x 10⁷)

• 2.8 x 10⁶

• 5.28 x 10⁷

• 2.8 x 10⁷

• 5.28 x 10⁶

Multiple Choice

Divide. Write your answer in scientific notation.

$$\frac{6\ x10^2}{2\ x\ 10^1}$$  

• $$3\ x\ 10^3$$  

• $$3\ x\ 10^1$$  

• $$3\ x\ 10^0$$  

Multiple Choice

Multiply. Write your answer in scientific notation.

(7 x 10³)(1 x 10⁴)

• 7 x 10⁷

• 8 x 10⁷

• 6 x 10¹

Multiple Choice

Multiply. Write your answer in scientific notation.

(3 x 10¹)(3 x 10¹)

• 9 x 10¹

• 9 x 10²

• 6 x 10¹

• 6 x 10²