Click the answer boxes to hear the answer for each box. You must answer 5 questions correctly to complete the game
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
Jasmine Anderson 🤫😉🐺
"Standard units: symbols to names"
MIX AND MATCH game to practice
'Multiply indices' for 8th grade
8th grade / Number / Powers & Roots / Indices / Multiply indices
Multiply indices by adding powers
What are indices?
Indices are terms that have been raised to a power such as 5⁶ or x³ or 4y⁴. Raised to the power means the term has been multiplied by itself that number of times.
4³ = 4 x 4 x 4 and a⁵ = a x a x a x a x a
So the term indice simply means a number or term raised to a power.
How to multiply indices with the same base
In order to be able to multiply indices by adding powers, the indices must have the same base. So a³ and a⁶ have the same base "a", but x³ and y⁶ do not have the same base and cannot be simplified using the methods on this page.
To see why we can add powers to multiply indices with the same base, consider the expression a³ x a⁴. If we expand both indices we get:
(a x a x a) x (a x a x a x a) = a x a x a x a x a x a x a = a⁷
So we can see that multiplying a³ x a⁴ gives us a multiplied by itself 7 times, which you will notice is the same as adding the powers of the two terms.
a³ x a⁴ = a⁷
y⁴ x y⁴ = y⁸
If one or more of the terms is raised to a negative power, you follow the standard rules of arithmetic to compute the powers through adding and taking away.
p⁵ x p³ x p⁻³ = p⁵
p⁻⁵ x p⁴ x p⁻³ = p⁻⁴
If there are coefficients associated with the indices, multiply the coefficients first then add the powers to simplify the expression.
6y⁴ x 7y⁴ = 42y⁸
7p⁵q³ x 4p⁻³q² = 28p²q⁵
With our Mix and match math game you will be practicing the topic "Multiply indices" from 8th grade / Number / Powers & Roots / Powers & Roots. The math in this game consists of 16 questions that ask you to multiply indices with the same base by adding powers e.g. 5a³ x 6a² = 30a⁵.
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
How to play Mix and match to practice
'Multiply indices' for 8th grade
There are 5 blocks that need putting away to tidy the play room. Drag (they are heavy...) the blocks to the correct boxes.
- Click on "PLAY" on the settings page to start the game
- You see the first question block and 3 boxes to put it into
- On each box is a possible math answer to the question
- Click on any answer box to hear the spoken audio for that answer
- Drag the question block to the answer box where it belongs
- If you are correct, the block will stay in the box, the ball will roll and the teddy bear will do a little jump
- If you are wrong, a wrong sound will play and the question block will jump back to where it was, and you can try again
- Clear all 5 question blocks to complete the game
