Scientific Notation Word Problems

A microgram is equal to 1 x 10 ^-6 grams. How many times greater than a microgram is 1 x 10² grams? 

• 1 x 10^-8
• 1 x 10^-4
• 1 x 10⁴
• 1 x 10⁸

Tags

CCSS.6.EE.A.1

CCSS.6.RP.A.1

CCSS.6.RP.A.3

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

Tags

CCSS.6.EE.A.1

CCSS.6.EE.B.7

CCSS.6.NS.B.2

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

• 2.04 x 10⁶ years
• 2.04 x 10⁷ years
• 7.056 x 10²¹ years
• 7.056 x 10⁷ years

Tags

CCSS.8.EE.A.4

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

• 3.326 x 10⁵
• 3.326 x 10⁶
• 1.99 x 10³⁰
• 1.99 x 10⁶

Tags

CCSS.6.EE.A.1

CCSS.6.RP.A.1

CCSS.6.RP.A.3

A microgram is equal to 1 x 10 ^-6 grams. How many times greater than a microgram is 1 x 10² grams? 

• 1 x 10^-8
• 1 x 10^-4
• 1 x 10⁴
• 1 x 10⁸

Tags

CCSS.6.EE.A.1

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Which of the following is correct scientific notation?

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

Tags

CCSS.6.EE.A.1

Write 9,450,000 in scientific notation.

• 9.45 x 10⁴
• 9.45 x 10⁵
• 9.45 x 10⁶
• .945 x 10⁷

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Solve:
(6 x 10⁶) / (2 x 10³)

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

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

CCSS.6.EE.A.4

1. The pitch of a sound is determined by the number of vibrations produced per second.  The note “middle C” produces 2.62 x 10² vibrations per second.  If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur?

• Addition
• Subtraction
• Multiply
• Divide

Tags

CCSS.6.EE.A.1

CCSS.6.NS.B.3

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars.  The population of the United States in that year was about 2.8 x 10⁸ people.  What was the average debt per person?

• Add
• Subtract
• Multiply
• Divide

Tags

CCSS.6.NS.B.2

CCSS.6.RP.A.2

CCSS.6.RP.A.3