The document is about a 7th grade student's objective to learn about scientific notation and expressing extremely large and small numbers with exponents. It includes links to videos and worksheets about scientific notation, exponents, patterns, and negative exponents. The student is asked to represent various numbers from everyday life in scientific notation, such as planet distances, radioactive half-lives, and atomic sizes. An answer key is provided with the scientific notation representations of the requested numbers.

1. Evany Pace
Grade: 7
Topic: Scientific Notation
Objective: Learn the importance of Scientific Notation and how to express extremely large and
small numbers with Exponents and Scientific Notation.
1. Scientific Notation Video
Watch this introductory video.
a. According to the video, who are considered math people?
b. What is the distant from the Sun to the Earth?
2. Multiplying Decimals and Whole Numbers
Review the information about multiplying decimals and whole numbers.
a. What happens when you multiply a decimal number by 10?
b. What happens when you divide a decimal number by 10?

2. c. 3.3 x 9 = ?
d. 928 x 0.17 = ?
e. $6.45 x 96 = ?
f. 0.356 x 93 = ?
g. Danica Patrick can travel at 154.67 miles per hour in her race car. How far can she travel
in 3 hours?
3. Exponents
Review the information about exponents.
a. Write 45 in standard form.
b. Write 54 in standard form.
c. What is 500,000,000 raised to the zero power?
d. What is 237 raised to the first power?

3. e. The number 81 is 3 raised to which power?
4. Patterns and Exponents
Review the information about patterns and exponents.
a. The numbers 1, 5, 25, 125, 625, … are each powers of what number?
b. In the preceding exercise, what is the next number in the list?
c. The numbers 1, 6, 36, 216, 1296, … are each powers of what number?
d. 10,000,000,000,000 is 10 raised to what power?
e. If 14 is equal to 1, then what is 1100?
5. Negative Exponents
Review the information about negative exponents.
a. Fill in the blank:
A negative exponent is equivalent to the of the same number with a
positive exponent.

4. 6. Scientific Notation
Read about scientific notation.
a. Scientific Notation is based on powers of which base number?
b. Write the speed of light (300,000,000 m/sec) in scientific notation.
c. Write the mass of dust particle (0.000 000 000 753 kg) in scientific notation.
7. Scientific Notation Activity
Experiment with the scientific notation graphic at the top of the page.
a. What do you notice about the size of the first number in the expression?
8. Scientific Notation Worksheet
Print out and complete this worksheet.
9. Research
Many numbers used in everyday life are very small or very large. Using the Internet, gather
the following information and represent each number in scientific notation and standard
notation.
a. The distance in km from the sun to each planet.
b. The distance in km from any planet to its moon.

5. c. The half-life of certain radioactive elements.
d. The size of bacteria and viruses.
e. The size of an atom, nucleus, or cell.
f. The mass of an electron.

6. Answer Key
1. Scientific Notation Video
a. Engineers, mathematicians, scientists, you/me
b. 93,955,807 miles
2. Multiplying Decimals and Whole Numbers
a. The decimal moves one place to the right.
b. The decimal moves one place to the left.
c. 29.7
d. 157.76
e. 619.2
f. 33.108
g. 464.01
3. Exponents
a. 1024
b. 625
c. 1
d. 237
e. 4
4. Patterns and Exponents
a. 5
b. 3125
c. 6
d. 13
e. 1
5. Negative Exponents
a. inverse
6. Scientific Notation
a. 10
b. 3 x 108
c. 7.53 x 1010
7. Scientific Notation Activity
a. It is greater than or equal to 1 and less than 10.
8. Scientific Notation Worksheet
a. 4.2 x 106
b. 1.5 x 10-8
c. 6 x 104 mi; 9.7 x 104 km
d. 9.2 x 108 F; 5.11 x 108 C
e. 1.673 x 10-24 g
f. 1.989 x 1023 g
g. 5 x 1010
h. 1.276 x 10-5 m
i. 4,500,000,000 yr
j. 0.000 000 000 000 000 000 000 001 673 kg
9. Research
a. Mercury: 57,910,000 km; 5.791 x 107 km
Venus: 108,000,000 km; 1.08 x 108 km

7. Earth: 190,000,000 km; 1.9 x 108 km
Mars: 228,000,000 km; 2.28 x 108 km
Jupiter: 778,000,000 km; 7.78 x 108 km
Saturn: 1,427,000,000 km; 1.427 x 109 km
Uranus: 2,869,000,000 km; 2.869 x 109 km
Neptune: 4,497,000,000 km; 4.497 x 109 km
b. Various Answers
c. Various Answers
d. Various Answers
e. 9.109 x 10-31 kg; 0.000 000 000 000 000 000 000 000 000 000 910 9 kg