Scientific Notation

• 5.7 x 10^1

• 5.7 x 10^ -7

• 5.7 x 10 ^ -5

• 57 x 10^5

What is the standard form of 4.5 x 10^4?

• 450

• 4,500

• 45,000

• 450,000

Answer explanation

To convert 4.5 x 10^4 to standard form, move the decimal point 4 places to the right, resulting in 45,000. Thus, the correct answer is 45,000.

What does the exponent in scientific notation indicate?

• The number of zeros

• The number of decimal places

• The number of times the base is multiplied by 10

• The number of digits in the number

Answer explanation

In scientific notation, the exponent indicates how many times the base (10) is multiplied. For example, in 2.5 x 10^3, the exponent 3 means 2.5 is multiplied by 10 three times, resulting in 2500.

Convert 75,000 to scientific notation.

• $7.5 x 10^4

• $75 x 10^3

• $0.75 x 10^5

• $7.5 x 10^3

Answer explanation

To convert 75,000 to scientific notation, move the decimal point 4 places to the left, resulting in 7.5. Thus, it can be expressed as 7.5 x 10^4, which is the correct choice.

Convert 8,200,000 to scientific notation.

Answer explanation

To convert 8,200,000 to scientific notation, move the decimal point 6 places to the left, resulting in 8.2. Thus, it can be expressed as 8.2 × 10^6, which is the correct choice.

Convert 360,000 to scientific notation.

• 3.6 x 10^5

• 36 x 10^4

• 3.6 x 10^4

• 36 x 10^5

Answer explanation

To convert 360,000 to scientific notation, move the decimal point 5 places to the left, resulting in 3.6. Thus, it can be expressed as 3.6 x 10^5, making this the correct choice.

Convert 92,000,000 to scientific notation.

Answer explanation

To convert 92,000,000 to scientific notation, we express it as 9.2 multiplied by 10 raised to the power of 7, since moving the decimal point 7 places to the left gives us 9.2. Thus, the correct answer is 9.2 × 10^7.

Convert 0.0000032 to scientific notation.

• 3.2 x 10^-6

• 3.2 x 10^-5

• 3.2 x 10^-7

• 3.2 x 10^-8

Answer explanation

To convert 0.0000032 to scientific notation, move the decimal point 6 places to the right, resulting in 3.2. Thus, it is expressed as 3.2 x 10^-6, making this the correct choice.

The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools.  There were about 7.6 x 10⁵ students enrolled in public school.  What was the average spending per student? 

• Add

• Subtract

• Multiply

• Divide

Answer explanation

To find the average spending per student, divide the total spending (4.408 x 10^9) by the number of students (7.6 x 10^5). This calculation gives the average amount spent on each student, making 'Divide' the correct choice.

• A

• B

• C

• D