Understanding Scientific Notation Concepts

The video tutorial explains scientific and standard notations, focusing on how to write large and small numbers using scientific notation. It covers the rules for proper scientific notation, provides examples and exercises for converting between scientific and decimal notations, and explains the role of exponents. The tutorial also includes practice problems and instructions on using scientific calculators for these conversions.

What is the primary purpose of scientific notation?

• To eliminate the use of decimals

• To simplify the representation of very large or small numbers

• To make numbers look more complex

• To convert numbers into fractions

Which of the following is NOT a feature of scientific notation?

• Multiple non-zero digits before the decimal

• A single non-zero digit before the decimal

• A number between 1 and 10

• A power of ten

Why is the number 27 not in proper scientific notation?

• It is not a whole number

• It is not a power of ten

• It is not a decimal

• It is not between 1 and 10

How do you convert a large number to scientific notation?

• Move the decimal point to the left until the number is between 1 and 10

• Move the decimal point to the right until the number is between 1 and 10

• Add zeros to the end of the number

• Divide the number by 10

What does a positive exponent indicate in scientific notation?

• The number is less than one

• The number is negative

• The number is greater than one

• The number is a fraction

How does a negative exponent affect a number in scientific notation?

• It turns the number into a fraction

• It makes the number larger

• It makes the number smaller

• It has no effect

Convert 1.35 x 10^5 to standard decimal notation.

• 135000

• 13500

• 135

• 1350

Which key on a scientific calculator is used for scientific notation?

• COS key

• SIN key

• EXP key

• LOG key