Game: FOUR IN A ROW
Aim: To get four symbols in a row
Method:
Choose a square and click on it. Click on the correct answer to the question in the box that appears. If you are right the square is replaced by a tick. Continue until you have won 4 in a row...
8th grade / Number / Powers & Roots / Indices / Divide Indices
Indices are terms that have been raised to a power such as 5⁶ or y⁴. This means the term has been multiplied by itself that number of times.
6⁴ = 6 x 6 x 6 x 6 and y⁵ = y x y x y x y x y
So the term indice simply means a number or term raised to a power.
Indices with the same base can be divided by subtracting powers. So a³ and a⁶ have the same base "a", but x³ and y⁶ do not have the same base and cannot be simplified by subtracting powers.
To understand why dividing indices with the same base involves subtracting powers, consider x⁷ ÷ x⁴. If we expand both indices we get:
x x x x x x x x x x x x x
x x x x x x x
Since we know that x divided by x is 1, we can cancel terms top and bottom to simplify the expression leaving x x x x x.
x⁷ ÷ x⁴ = x³
So we can see that dividing x⁷ by x⁴ gives us x³. In general, you can divide indices with the same base by subtracting the powers.
If one or more of the terms is raised to a negative power, you should follow simple arithmetic rules to subtract the powers.
p⁻⁵ ÷ p³ = p⁻⁸
p⁻⁵ ÷ p⁻³ = p⁻²
If there are coefficients in front of the bases, divide the coefficients first and then subtract the powers.
15p⁵ ÷ 3p³ = 5p⁵
With our Four in a row math game you will be practicing the topic "Divide Indices" from 8th grade / Number / Powers & Roots / Powers & Roots. The math in this game consists of 16 questions that ask you to divide indices with the same base by subtracting powers e.g. 6b⁵ ÷ 2b² = 3b³.
The game will reinforce the math you have chosen to learn by getting you to match the question to the correct answer.
Notes
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
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