Convert to Scientific Notation
Express in Scientific Notation.
625
6.25 x 102
Define approximate.
1 : nearly correct or exact : close in value or amount but not precise an approximate solution an approximate date.
Solve:
2,850 x (3.6 x 102)
1.026 x 106
Simplify: 12,345,778,999,000,0000
1
I’m tall when I’m young, and I’m short when I’m old. What am I?
A candle
One nanometer equals about 0.00000004 inches. When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is _______ and the power of ten is________.
4 and -8
New York City has a population of 8,804,190. Which of the following is the closest estimate of this number?
a. 8 x 106
b. 9 x 106
B
A sheet of paper is 0.00005 meter thick. One nanometer is 1×10-9 meter. How thick is a sheet of paper in nanometers?
50,000
Simplify:
7-7
1/ 77
A grandfather, two fathers and two sons went to the movie theater together and everyone bought one movie ticket each. How many tickets did they buy in total?
3 (the grandfather is also a father and the father is also a son)
Express in Standard Notation:
5.1146 x 103
5,114.6
In a vacuum state, the speed of light is precisely 299,792,458 meters per second. The circumference of the Earth at the equator is 40,075 kilometers. Approximate the speed of light, in meters per second, using a single digit times a power of ten.
3 x 108
Jackson has three cartons of gumballs. There are 100 boxes in each carton. There are 100 gumballs in each box. The number of gumballs Jackson has can be expressed in the form a⋅10b, where a is a prime number and b is whole number. What are the values of a and b?
a. 3
b. 4
What two expressions that are equivalent to
(73 x4)0 ?
70 x0 and 1
A duck was given $9, a spider was given $36, a bee was given $27. Based off of this information, how much money would be given to a cat?
$18 ($4.50 per leg)
Write this number in scientific notation.
33 x 10-3
3.3 x 10-2
In 2010, the continent of South America had a population of 495,280,204. State your answer in scientific notation.
5 x 108
Last year during the July 4th holiday, Americans ate about 150,000,000 hot dogs. Over the entire year, Americans ate a total of about 2×1010. Compute how many times greater the total number of hot dogs eaten by Americans last year was than the number of hot dogs eaten during the 4th of July holiday. Round your answer to the nearest one.
133
What two expressions are equivalent to
38 x 27?
1. 311
2. 38 x 33
How old will Ms. Taylor be in 2022?
34
A human heart beats an average of 80 beats per minute. How many beats is this in an hour? Express your answer in scientific notation.
4.8 x 103
In a vacuum state, the speed of light is precisely 299,792,458299,792,458 meters per second. The circumference of the Earth at the equator is 40,07540,075 kilometers.
a. The prefix kilo means ×1000, or ×103, so 40,075 kilometers means 40,075×103 meters. Write the length of the Earth's equator, in meters, using scientific notation.
b. Approximate the circumference of the Earth at the equator, in meters, using a single digit times a power of ten.
4 x 107
It is estimated that there are 1.2×1057 atoms in the Sun. The number of atoms in the rest of the Solar System is approximately 1.2×1056. About how many more atoms exist in the Sun than in the rest of the Solar System?
1.08 x 1057
Consider the equation shown.
43 x 82 = 24
2n
What is the value of n?
8
Below is a list of stars and their distance from our Solar System in light-years. Place the stars in order from the closest to the farthest from our Solar System.
Bellatrix 2.4 × 102
Hadar 5.25 × 102
Vega 2.53 × 101
Wezen 1.8 × 103
1. Vega
2. Bellatrix
3. Hadar
4. Wezen