Understanding Exponents and Scientific Notation

Mr. Murphy introduces eighth-grade students to Module 1, covering integer exponents and scientific notation. The lesson begins with a review of integers and exponents, explaining their definitions and basic operations. Students will revisit exponent notation learned in earlier grades and explore more complex operations, including exponents raised to exponents and negative exponents. The module then transitions to scientific notation, focusing on its application for estimating large and small numbers. Students will learn to perform mathematical operations using scientific notation and understand its significance. The course spans three weeks, including lessons and tests.

What is an integer?

• A whole number, positive or negative

• A decimal number

• A complex number

• A fraction

How is 2 to the power of 3 calculated?

• 2 + 3

• 2 x 3

• 2 x 2 x 2

• 3 x 3

What does exponent notation represent?

• The number of times a number is added

• The number of times a number is subtracted

• The number of times a number is multiplied by itself

• The number of times a number is divided

What is the result of any number raised to the power of zero?

• The number itself

• Zero

• Negative one

• One

What is the purpose of scientific notation?

• To make numbers more complex

• To simplify calculations with very large or very small numbers

• To make numbers look bigger

• To convert numbers into fractions

How do you multiply numbers in scientific notation?

• Divide the exponents and multiply the bases

• Add the exponents and multiply the bases

• Multiply the exponents and add the bases

• Subtract the exponents and divide the bases

What is the base in scientific notation?

• 0

• 1

• 100

• 10

How do you add numbers in scientific notation?

• Subtract the exponents and add the bases

• Add the exponents and bases

• Convert to the same exponent, then add the bases

• Multiply the exponents and add the bases

What is the result of multiplying 10^3 by 10^2?

• 10^1

• 10^6

• 10^5

• 10^0

How do you compare numbers in scientific notation?

• By converting them to decimals

• By comparing the exponents first

• By converting them to fractions

• By comparing the bases first