You got:
14.33 | + | (1 x 10) | = | 21.23 |
time | + | (wrong x 10) | = | score |
3 scores max per player; No foul language, show respect for other players, etc.
Name | Score | Date | ||
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10 |
Game: ROCK FALL
Aim: Smash all the falling rocks
Method:
Click / tap on each falling rock. Answer the question in the box as quickly as you can.
There are only 4 questions in this game so it is quite short... if you can get those rocks!
Your final score is based on number of questions answered right / wrong, and the time taken.
8th grade / Number / Powers & Roots / Indices / Multiply 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.
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 Rock fall 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.
ROCK FALL is based on the road traffic warning sign for falling rocks - a sign that seems a bit less useful than somebody getting up there on that cliff and actually doing something about it... Anyway, the rocks are falling and it is your job to stop them hitting the road below, or at least stopping them hitting the road below too many times and breaking it. Smash the rocks by clicking or tapping on them (not so easy in real life of course) - they will turn into snowflakes and float gently down into nothing.
There are 4 rocks to stop and not much time to do it (if you want to get a good score and get on the leaderboard). This game is fun and fast and requires good reflexes and a good strategy. Plan to break the smaller rocks first if you want a good score because the rocks fall faster as the game progresses. It also helps to decide where on their path you plan to click / tap the rocks.
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 rocks falling from an unstable cliff. You need to break the rocks by clicking / tapping on them...
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