Scientific Notation Flashcards
What is Scientific Notation?
Scientific Notation is a way of writing very large or very small numbers in a shorter and easier form using powers of ten.
Why is Scientific Notation useful?
It’s especially useful in science and math when dealing with numbers that have many digits.
What is the basic format of a number in scientific notation?
A number in scientific notation is written like this: a × 10^n, where a is a number greater than or equal to 1 and less than 10, and n is an integer.
Convert the standard form 5,600,000 to scientific notation.
5.6 × 10^6
Convert the standard form 120,000,000 to scientific notation.
1.2 × 10^8
How do you determine the exponent in scientific notation?
Count how many places you moved the decimal point to get a number between 1 and 10.
Fill in the blank: A number in scientific notation is written in the form _______.
a × 10^n
True or False: In scientific notation, ‘a’ must be less than 1.
False
What type of numbers does scientific notation help express?
Very large or very small numbers.
What does the ‘n’ represent in scientific notation?
An integer (positive or negative).
Write 5,600,000 in scientific notation
5.6 × 10^6
This conversion involves moving the decimal point to the left 6 places.
Express 3.2 x 10^4 in standard form
32,000
Multiply 3.2 by 10,000 to convert to standard form.
Which of the following is in correct scientific notation? a) 0.52 × 10^5 b) 5.2 × 10^5 c) 52 × 10^4 d) 520 × 10^3
b) 5.2 × 10^5
In scientific notation, the coefficient must be between 1 and 10.
Convert 9.1 × 10^-3 to standard form
0.0091
Move the decimal point 3 places to the left.
Write 0.00047 in scientific notation
4.7 × 10^-4
This involves moving the decimal point 4 places to the right.
Simplify and express the answer in scientific notation: (2 × 10^3) x (3 × 10^4)
6 × 10^7
Multiply the coefficients (2 and 3) and add the exponents (3 + 4).
Order the following from least to greatest: 1.2 × 10^15, 3.4 × 10^3, 9.8 × 10^4
3.4 × 10^3, 9.8 × 10^4, 1.2 × 10^15
Compare the coefficients and exponents to determine the order.
