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SOW GROW
PLAY
Look at and listen to each math question. Click/tap on the pot that has the right answer. Expand answers if necessary using the magnifying glass buttons.
Correct answers water the seedling which grows, blooms and the flower is cut for the vase. Continue until you have collected the given number of flowers.
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Game: SOW GROW

Aim: To grow and gather sunflowers

Method:
Look at and listen to each math question. Click/tap on the pot that has the right answer. Expand answers if necessary using the magnifying glass buttons.
Correct answers water the seedling which grows, blooms and the flower is cut for the vase. Continue until you have collected the given number of flowers.

Multiply indices
      
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SOW GROW game to practice
'Multiply indices' for 8th grade

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 Sow grow 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.

Match math questions to the right answer to grow flowers...relaxed game with nice outcome

Large thumbnail for math game Sow grow

Sow grow is a gentle game that concentrates on your ability to answer math questions. The game itself is very simple to play and does not require manual dexterity or fast reaction times. You are growing sunflowers in pots on a window sill. When you answer questions correctly you get to pick a sunflower to put in the vase. When the vase is full, you have completed the game.

Notes

  1. Sow grow is a one player game to learn or revise math.
  2. Sow grow is a timed game - play a few times, set a personal best time and try to get on the leaderboard!
  3. It is best to go through the sample questions in the topic lesson before you attempt this game.
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How to play Sow grow to practice
'Multiply indices' for 8th grade

Free Math Games screenshot of Sow grow game for learning and practicing secondary math

  1. Select the Sow grow game from the "Games" selection page.
  2. On the settings page there are brief instructions on how to play.
  3. Click on PLAY to start the game.
  4. The game is timed - the clock starts when you enter the play screen.
  5. The first seeds are planted then the first math question is revealed above the pots.
  6. If you have robot speech enabled, the robot voice will speak the question.
  7. Click / tap on the speaker button at top right if you want to hear the audio repeated.
  8. Click / tap on the question box to expand the question and hear the audio repeated.
  9. Click / tap on the pot that correctly answers the question.
  10. If your answer is correct the seedling will grow into a flower which is then cut and put in the vase.
  11. If your answer is wrong, the audio will play again, and an arrow will indicate the correct answer. Click the close button at top right to continue.
  12. The number of questions you need to answer is in the count box at top right above the clock.
  13. There are occasional "flower bonuses" available which will take 5 seconds off your time.
  14. A leaderboard records the 10 fastest times for each topic. Click the gold star on the vase to see the leaderboard.
  15. If you get one of the 10 fastest times, you are offered the chance to enter your name into the leaderboard, or you can cancel if you are not interested.
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