Operations with Scientific Notation

Operations with Scientific Notation

Review Lesson

Converting between Standard Form & Scientific Notation

Multiple Choice

Convert the following number to scientific notation:

12,000,000

• 1.2 x 10⁷

• 1.2 x 10⁶

• 12 x 10⁷

• 12 x 10⁶

Multiple Choice

How would you write -5.6 x 10^-3 in standard form?

• 0.0056
• -5,600
• 0.00056
• -0.0056

Multiple Choice

Which of these are NOT in scientific notation?

• 1.2 x 10³
• 5.3 x 10⁹
• 2.0 x 10⁰
• 10 x 10²

Multiple Choice

How would you write 0.0005 in scientific notation?

• 5 x 10^-5
• 5 x 10^-4
• 5 x 10^-3
• .5 x 10³

Adding with Scientific Notation

Watch the video & do the practice problems

Multiple Choice

(2 x 10^-5) + (7 x 10^-5)

• 9 x 10^-10

• 14 x 10^-5

• 9 x 10^-5

• 1.4 x 10^-4

Multiple Choice

Write the answer in scientific notation.

(4.1 x 10⁵) + (5.5 x 10⁶) =

• 5.91 x 10⁶

• 9.6 x 10⁵

• 9.6 x 10¹¹

• 4.65 x 10⁵

Multiple Choice

(7.7 x 10²) + (3.1 x 10²)=

• 10.8 x 10⁴

• 1.08 x 10³

• 10.8 x 10²

• 1.08 x 10¹

Subtracting with Scientific Notation

Watch the video & do the practice problems

Multiple Choice

(8 x 10⁴) - (2 x 10⁴)

• 16 x 10¹⁶
• 16 x 10⁸
• 6 x 10⁸
• 6 x 10⁴

Multiple Choice

Find the difference.

(3.8 x 10⁴) - (2 x 10³)

• 1.8 x 10⁴

• 1.8 x 10¹

• 3.6 x 10¹

• 3.6 x 10⁴

Multiplying with Scientific Notation

Watch the video & do the practice problems

Multiple Choice

(5 x 10⁶)(5 x 10⁷)

• 2.5 x 10¹²
• 2.5 x 10¹⁴
• 25 x 10¹²
• 25 x 10¹³

Multiple Choice

(2 x 10⁹)(4 x 10^-4)

• 8 x 10¹³
• 8 x 10³⁶
• 8 x 10⁵
• 8 x 10^-36

Dividing with Scientific Notation

Watch the video & do the practice problems

Multiple Choice

What is the simplified version of

• 3.9 x 10⁶
• 4 x 10²⁰
• 4 x 10⁶
• 3.9 x 10²⁰

Multiple Choice

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³
• 3 x 10⁹
• 1.2 x 10⁴
• 3 x 10³

Multiple Choice

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰
• 3 x 10⁴
• 3 x 10^-4
• 3 x 10^-11

Now practice all operations...

Multiple Choice

Fill in the blank with < , >, or =

678,000 _______ 6.78 x 10⁶

• <

• >

• =

Multiple Choice

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹
• 3.8 x 10¹
• 3.008 x 10¹²
• 2.9375 x 10¹

Multiple Choice

Write the answer in scientific notation.
7.3 x 10⁵  +   3.7 x 10⁵  =

• 11.0 x 10⁵
• 1.1 x 10¹⁰
• 1.10 x 10¹¹
• 1.1 x 10 ⁶

Multiple Choice

Find the sum
(4x10²)+ (5.1x10²)

• 9.1 x 10⁴
• 9.1 x 10²
• 5.5 x 10
• 20.4 x 10⁴

Multiple Choice

Solve:
(2.1×10​²​​) × (3.0×10​⁴)

• 5.1 x 10²
• 6.3 x 10⁶
• 5.1 x 10⁶
• 6.3 x 10⁸

Multiple Choice

How would you write 564,000,000 in scientific notation?

• 5.64 x 10^-7
• 5.64 x 10⁶
• 5.64 x 10⁸
• 56.4 x 10⁷

Multiple Choice

Which of the following is correct scientific notation?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴