3 scores max per player; No foul language, show respect for other players, etc.
Name | Score | Date | ||
|---|---|---|---|---|
| 1 | ||||
| 2 | ||||
| 3 | ||||
| 4 | ||||
| 5 | ||||
| 6 | ||||
| 7 | ||||
| 8 | ||||
| 9 | ||||
| 10 |
Game: CAT AND MOUSE
Aim: Catch the white mice
Method:
Move the cat with the arrow keys or by tapping in the game area to catch the white mouse. Avoid the red balloons but hit the blue balloons.
Your final score is based on all of that plus number of questions answered right, and the time taken.
HI
"Standard units: symbols to names"
The CAT AND MOUSE 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 Cat and mouse 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.
Cat versus mouse game with added balloons for math and fun. You are the ginger cat, and your life is being made a misery by some white mice which have come into the house and are proving hard to catch. Not to mention there is a mouse house party going on and lots of balloons getting in the way of your hunting.
So you have to catch the white mice, forget about the gray mice, hit the blue balloons but avoid the red balloons, and answer math questions (you are a CLEVER cat...). If it sounds complicated and a bit frantic, that's because it is. Do your best but don't worry if you can't catch all the mice - neither can we. It's a cat's life...
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
Latest leaderboard entries: Cat and mouse
How to play CAT AND MOUSE to practice
'Multiply indices' for 8th grade
CAT AND MOUSE is a quirky take on the perennial enmity of ponderous predator and plucky prey. Here are the basics:
- Press "PLAY" on the CAT AND MOUSE settings page to open the game.
- You are a ginger cat overwhelmed by a serious mouse problem.
- Luckily your job is only to catch the white mice, not all the mice.
- Trouble is, they are not easy to catch and will try to avoid you.
- Use the arrow keys or tap the screen in the direction you want the cat to go.
- You will need fast reaction times to catch those white mice, and the balloons keep getting in the way.
- Mouse scores are 25 points for each white mouse caught, minus 5 points for each white mouse that escapes.
- When you do catch a white mouse, a math question will appear.
- Answer the math question correctly for those extra points...
- You get 50 points for each correct answer, but you lose 25 points for each wrong answer.
- Hitting blue balloons gives you extra points, but 3 hits on a balloon will burst it for that level.
- Hitting red balloons takes away points.
- Balloon scores are +5 or +10 points for blue balloons, -5 or -10 points for red balloons.
- This is a timed game and your final score is calculated by taking away your time in seconds from the points you have earned.
- If you get one of the 10 best scores you can add your name to the leaderboard for your chosen topic.
