Game: MIX AND MATCH
Aim: Drag question blocks to answer boxes
Method:
Drag the question block over the right answer box to tidy up the play room. Points are added and taken away automatically.
Click the answer boxes to hear the answer for each box. You must answer 5 questions correctly to complete the game
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 Mix and match 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.
In this game we are in a room with lots of toys - and the room needs clearing up - you need to put the play blocks back in the right boxes to tidy the room and win the game...but which is the right box for each block? Well, you can work that out by comparing the question on the block with the math answer on each of the boxes - you should drag the question block into the box whose math answer matches the picture question.
You can listen to the spoken math answer by clicking on the individual boxes. There are 5 blocks to clear up - but if you put them in the wrong boxes, there will be more... Anyway, tidy is good and practicing math is better so start now and see how you get on...
This game reinforces the math you learned or revised in the lesson by asking you to match each question to the correct answer. If you are older you may not like the childish reference to toys, but don't worry - there are other games to play, and who knows - you might like a trip down memory lane?
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
There are 5 blocks that need putting away to tidy the play room. Drag (they are heavy...) the blocks to the correct boxes.
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