CRM 1.2 Scientific Notation

Multiple Choice

Simplify.  $$x^{-7}$$  

• $$\frac{1}{x^{-7}}$$  

• $$x^7$$  

• $$\frac{1}{x^7}$$  

• $$\frac{x}{7}$$  

Multiple Choice

Make this negative exponent positive.

9^-3

• 9³

• $$\frac{1}{9^{-3}}$$

  
  

• $$\frac{1}{9^3}$$
  

• 729

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

Evaluate the expression using the quotient rule.

• y¹⁵
• y⁵⁰
• y²
• y⁵

Multiple Choice

Simplify $$\frac{5^2}{5^4}$$  

• $$5^2$$  

• $$\frac{1}{5^2}$$  

• $$5^6$$  

Multiple Choice

8⁴ ⁄ 8⁶

• 1/8²

• 8²

• 8¹⁰

• 1/8¹⁰

Multiple Choice

simplify

$$\frac{x^2}{x^9}$$  

• $$x^7$$  

• $$\frac{1}{x^7}$$  

• $$x^{18}$$  

• $$x^{11}$$  

Multiple Choice

Write the following number in scientific notation.

360

• $$3.6\times10^2$$  

• $$0.36\times10^2$$  

• $$3.6\times10^3$$  

• $$3.6\times10^{-2}$$  

Multiple Choice

Write the following number in scientific notation.

0.052

• $$5.2\times10^1$$  

• $$5.2\times10^{-1}$$  

• $$5.2\times10^{-2}$$  

• $$5.2\times10^2$$  

Multiple Choice

Change from standard form to scientific notation:  450,000

• 4.5  x  10⁵
• 45  x  10⁵
• 4.5  x  10⁴
• 4.5  x  10⁶

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

Write 1.057 x 10^-3 in standard form.

• 1057

• 0.001057

• -1057

• -0.001057

Multiple Choice

Write 1.057 x 10^-3 in standard form.

• 1057

• 0.001057

• -1057

• -0.001057

Multiple Choice

1.2 x 10^-5

• 0.000012

• 0.0000012

• 0.00000012

• 0.00012

Multiple Choice

As part of a community service project, a class planted 7x10⁵  trees in a year.  If there are 3.5x10³ students in the school, how many trees did each student plant?

• 2 x 10⁸
• 2 x 10²
• 3.5 x 10⁸
• 3.5 x 10²

Multiple Choice

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

• 3.852 x 10⁶ square miles
• 3.852 x 10⁰ square miles
• 1.803 x 10⁶ square miles
• 1.803 x 10¹ square miles

Multiple Choice

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

Multiple Choice

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• 1.271 x 10¹⁰
• 1.271 x 10⁹
• 1.271 x 10¹¹
• 1.271 x 10⁸

Multiple Choice

What is the simplified form of
(3.25 x 10³)(7.8 x 10⁶)

• 2.535 x 10¹⁰
• 2.535 x 10¹⁸
• 2.535 x 10¹⁹
• 2.535 x 10⁹

Multiple Choice

Solve:
(6.0 x 10^4) + (3.0 x 10^4)

• 9.0 x 10^4
• 3.0 x 10^4
• 9.0 x 10^8
• 3.0 x 10^0

Multiple Choice

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8
• 4.8 x 10²
• 4.08 x 10²
• 4.08 x 10^-15

Multiple Choice

Write the answer in scientific notation.
(5 x 10⁸) -  (3.4 x 10⁸)=

• 2.4 x 10⁸
• 2.4 x 10⁰
• 1.6 x 10⁰
• 1.6 x 10⁸