Download (+, -, x, ) to numbers in scientific notation!

Magnitude
Order of Operations
8.EE.3 Use number expressed in the form of a single digit times an integer power of
10 to estimate very large or very small quantities, and to express how many
times as much one is that the other.
8.EE.4 Perform operations with numbers expressed in scientific notation, including
problems where both decimal and scientific notation are used. Use scientific
notation and choose units of appropriate size for measurements of very large
or very small quantities.
 Students write, add and subtract numbers in scientific notation and understand
what is meant by the term leading digit.
WKSP
HW
Procedure
Media
Student
Outcomes
Standard
Pre Requisite
Scientific Notation
#17
Spiral #4
Foldable
Concentration
‘I have, who has …’
Scientific Notation
The estimated number of stars in the universe is 6 x 1022. What is this number in
standard form?
1 < d < 10
d x 10n
Complete the following by indicating the order of magnitude:
234.567 = 234.567 x 10 = 23.4567 x 10 = 2.34567 x 10 = 0.234567 x 10
= 2345.67 x 10 = 23456.7 x 10 = 234567 x 10
Only one of the expressions above is in scientific notation. Which one?
Exercise: State whether the following numbers are written in scientific notation. If not,
state the reason.
1. 1.908 x 1017
̅̅̅̅ + 107
2. 4.0701
3. 0.325x 10-2
4. 18.432 x 58
Scientific Notation
Operations
We can apply all four operations (+, -, x, ÷) to numbers in scientific notation!
When adding (or subtracting), each number must be in the _____ order of magnitude.
Example: We want to find the difference in the populations of Texas and North Dakota.
In 2012, Texas had a population of about 26 million people and North Dakota
had a population of about 6.9 x 104.
Texas = 26,000,000 = 2.6 x 10
North Dakota = 6.9 x 104
Example: We want to find the combined mass of two hydrogen atoms and one oxygen
atom (H2O). A hydrogen atom weighs 1.7 x 10-27 kg and an oxygen atom
weighs 2.7 x 10-26 kg.
Example: All planets revolve around the sun in elliptical orbits. Uranus’s furthest
distance from the sun is approximately 3.004 x 109 km, and its closest distance
is approximately 2.749 x 109 km. Using this information, what is the average
distance of Uranus from the sun?
Scientific Notation
Name: __________________________________
Pre-Algebra
Date: ______
Exit Ticket
approximate total surface area of Earth is 5.1 × 108 𝑘𝑚2 . Salt water has an
approximate surface area of 352,000,000 𝑘𝑚2 and freshwater has an approximate
surface area of 9 × 106 𝑘𝑚2. How much of Earth’s surface is covered by water,
including both salt and fresh water? Write your answer in scientific notation.
1. The
2. How
much of Earth’s surface is covered by land? Write your answer in scientific
notation.
3. Approximately how
many times greater is the amount of Earth’s surface that is
covered by water, compared to the amount of Earth’s surface that is covered by land?
Scientific Notation
Name: _______________________________________
Pre-Algebra
Date: _____
HW #17
1. Write the number 68,127,000,000,000,000 in scientific notation.
2. There are approximately 7.5 x 1018 grains of sand on Earth. There are
approximately 7 x 1027 atoms in an average human body. Are there more grains
of sand on Earth or atoms in an average human body?
About how many times more atoms are in a human body, compared to grains of
sand on Earth?
3. The speed of light is 300,000,000 meters per second. The sun is approximately
1.5 x 1011 meters from Earth. How many seconds does it take for sunlight to
reach Earth?
Review:
4. The Formax Dwarf galaxy is 4.6 x 105 light-years away from Earth, while
Andromeda I is 2.430 x 106 light-years away from Earth. Which is closer to
Earth?
1
5. Simplify: (2 ) × (−8)
4