Key Words
powers
exponent base scientific notation standard form square cube square root power of ten |
potens
exponent bas grundpotensform tal kvadrat kubik kvadratroten tiopotenser |
the product of a multiplication when a number is being multiplied by itself = 6^2 = 6x6=36
the amount of times a number is multiplied by itself in a power ex. 6^2 it is the 6 the number that is being multiplied by itself in a power ex. 6^2 it is the 2 using powers of 10 to represent large and small numbers ex. 4.5 x 10^3 the regular way to write a number ex. 4500 the product when the exponent is 2 in a power the product when the exponent is 3 in a power when the divisor and quotient of a division are the same |
Key Concepts:
Powers: The representation of a product using exponents and bases, when the base is multiplied by itself.
Square Numbers: The number we get after multiplying an integer (not a fraction) by itself. Example: 4 × 4 = 16, so 16 is a square number. We square a number when the exponent of a power is 2.
Cube Numbers: The result of using a whole number in a multiplication three times. Example: 4 × 4 × 4 = 64, so 64 is a cube number. We square a number when the exponent of a power is 3.
Square Roots: For square roots, find the "reverse" of a square. The square root symbol (√, also called a "radical" symbol) means basically the "opposite" of the 2 symbol. When you see a radical, you want to ask yourself, "what number can multiply by itself to give the number under the radical?" For instance, if you see √(9), you want to find the number that can be squared to make nine. In this case, the answer is three, because 32= 9.
Scientific Notation: Where a number is written in two parts: First: just the digits (with the decimal point placed after the first digit.) Followed by: ×10 to a power that will put the decimal point back where it should be.
To convert a number from scientific notation, you move the decimal over so that you have a single digit to the left of the decimal (ones place.) Count the number of decimal places you moved it, and that becomes the exponent on the ten.
To convert a number from scientific notation, you move the decimal over so that you have a single digit to the left of the decimal (ones place.) Count the number of decimal places you moved it, and that becomes the exponent on the ten.
3 500 = 3.5 x 103
↑ ↑
coefficient power of ten
↑ ↑
coefficient power of ten
* These definitions are courtesy of www.mathsisfun.com. *
Classwork:
|
Videos:
Exponents
|
|
|
Square Roots
|
|
|
Scientific Notation
|
|
|
Explanations:
LearnZillion offers great explanation and example.
https://learnzillion.com/assignments/DP947PT Finding the square root
https://learnzillion.com/assignments/DP947PT Finding the square root
Exponents Definition Virtual Nerd
Exponents MathIsFun
Exponent Laws MathIsFun
Powers (Index Notation)
Powers MathIsFun
Using Powers to Solve a Problem
Scientific Notation Explanation BrainGenie
Problem Solving with Scientific Notation BrainGenie
Exponents MathIsFun
Exponent Laws MathIsFun
Powers (Index Notation)
Powers MathIsFun
Using Powers to Solve a Problem
Scientific Notation Explanation BrainGenie
Problem Solving with Scientific Notation BrainGenie
Online Practice:
Pirate Waters
Pyramid Math
Baseball Exponents
Scientific Notation Game
Exponent Matching
Powers Memory Game
Crocodile Exponents Game
Mathopolis Quiz
Alien Landing
Otter Rush
World of Exponents
Interactive Exponents
http://www.softschools.com/mathg.jsp
http://www.softschools.com/math/games/exponents_practice.jsp
http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html
http://www.math4childrenplus.com/roots-crocodile-game/
http://www.math4childrenplus.com/roots-pirate-game/
http://www.mathebook.net/middleschool/virtual/sqrt.htm
http://www.quia.com/mc/65631.html
http://www.math-play.com/square-roots-game.html
http://www.aplusmath.com/Flashcards/sqrt.html
http://www.softschools.com/math/games/squareroot_practice.jsp
https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/square_roots
http://www.funtrivia.com/playquiz/quiz2928922188228.html
Pyramid Math
Baseball Exponents
Scientific Notation Game
Exponent Matching
Powers Memory Game
Crocodile Exponents Game
Mathopolis Quiz
Alien Landing
Otter Rush
World of Exponents
Interactive Exponents
http://www.softschools.com/mathg.jsp
http://www.softschools.com/math/games/exponents_practice.jsp
http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html
http://www.math4childrenplus.com/roots-crocodile-game/
http://www.math4childrenplus.com/roots-pirate-game/
http://www.mathebook.net/middleschool/virtual/sqrt.htm
http://www.quia.com/mc/65631.html
http://www.math-play.com/square-roots-game.html
http://www.aplusmath.com/Flashcards/sqrt.html
http://www.softschools.com/math/games/squareroot_practice.jsp
https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/square_roots
http://www.funtrivia.com/playquiz/quiz2928922188228.html
Printable Practice:
|
|
|
|