Scientific Notation

What is scientific notation?

• A method for measuring temperature.

• A way to express very large or very small numbers using powers of ten.

• A technique for solving algebraic equations.

• A system for categorizing living organisms.

What is the general form of scientific notation?

• a x 10^n, where 1 ≤ a < 10 and n is an integer.

• a x 10^n, where 0 < a < 10 and n is a whole number.

• a x 10^n, where 1 < a < 10 and n is a positive integer.

• a x 10^n, where 1 ≤ a ≤ 10 and n is a real number.

Express 8.025 x 10^-8 in standard notation.

• .00000008025

• 0.0000008025

• 0.000000008025

• .0000008

What is the purpose of scientific notation?

• To simplify the representation of very large or very small numbers.

• To make calculations easier without using a calculator.

• To convert numbers into fractions for easier understanding.

• To represent numbers in a binary format.

Convert 9.8 x 10^-5 to standard form.

• 0.0000098

• 0.000098

• 0.00098

• 0.00000098

Which of the following is in scientific notation? 8.987000, 8.98 x 10^6, 80.987 x 10, 8.98^6

• 8.987000

• 8.98 x 10^6

• 80.987 x 10

• 8.98^6

How do you multiply numbers in scientific notation?

• Multiply the coefficients and add the exponents.

• Add the coefficients and multiply the exponents.

• Multiply the coefficients and subtract the exponents.

• Add the coefficients and add the exponents.

What is the result of (1.4 x 10^5)(2 x 10^7)?

• 2.8 x 10^12

• 2.8 x 10^11

• 2.8 x 10^13

• 2.8 x 10^10

What is the rule for writing exponents in scientific notation?

• All exponents must have a base of 10.

• Exponents can have any base.

• Exponents must be whole numbers only.

• Exponents must be positive integers.

What is the result of (6 x 10^5) + (4 x 10^5)?

• 8 x 10^5

• 10 x 10^5 or 1 x 10^6

• 12 x 10^5

• 2 x 10^6