Unit 3 ReTest- Scientific Notation and Significant Figures

In chemistry, scientists use numbers for data. These numbers can be really big or really small. Which of the following is a way to help scientists write those really big or really small numbers to make them easier to work with?

• A. scientific method

• B. scientific notation

• C. significant figures

• D. quadratic equations

The mass of the Earth is 5,980,000,000,000,000,000,000,000 kilograms. When writing this number in scientific notation which of the following should be the coefficient?

• A. 5.98

• B. 59.8

• C. 598.0

• D. 598

The mass of the Earth is 5,980,000,000,000,000,000,000,000 kilograms. How many places was the decimal point moved to convert to scientific notation?

• A. 2

• B. 22

• C. 23

• D. 24

The mass of the Earth is 5,980,000,000,000,000,000,000,000 kilograms. What is the mass of the earth written in scientific notation?

• A. 5.98 x 10^24

• B. 59.8 x 10^23

• C. 598 x 10^22

• D. 5.98 x 10^-24

Sometimes we are faced with numbers that are very large, but other times, we must work with numbers that are very small. For example, the mass of a dust particle is 0.000000000753 kilograms. In order to properly put this small number into scientific notation, where does the location of the decimal need to be moved?

• In front of the 7

• Behind the 7

• Behind the 5

• Behind the 3

Sometimes we are faced with numbers that are very large, but other times, we must work with numbers that are very small. For example, the mass of a dust particle is 0.000000000753 kilograms. What is the proper way to put this very small number into scientific notation?

• 0.753 x 10^-9

• 0.753 x 10^9

• 7.53 x 10^-10

• 7.53 x 10^10

Convert the following number back to standard notation. 2.36 x 10^7

• 236 000

• 2 360 000

• 23 600 000

• 236 000 000

Convert the following number back to standard notation. 2.36 x 10^-7

• 0.0000236

• 0.000000236

• 23 000 000

• 0.0000000236

Convert the following number back to standard notation. 3.250 x 10^0

• 3250

• 325.0

• 32.50

• 3.250

Using your calculator, perform the calculations and record your final answer in proper scientific notation. 8.3367 x 10^5 + 7.115 x 10^5 =

• 15.4517 x 10^5

• 1.54517 x 10^6

• 1.54517

• 2 x 10^5