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CAT AND MOUSE
PLAY
Instructions graphic for math game cat-and-mouse
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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.

LCM using product notation
      
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The CAT AND MOUSE game to practice
'LCM using product notation' for 8th grade

Show the lowest common multiple of 2 numbers using product notation

To find the lowest common multiple (LCM) of two numbers, you need to find the smallest multiple that both numbers have in common. One way to do this is to use prime factorization and product notation. Here are the steps:

  1. Write each number as a product of prime factors.
  2. Then write the prime factors of each number, multiplying each factor by the highest power it appears in either number.

For example:
The prime factorization of one number is 2² x 3 x 5.
The prime factorization of the other number is 2 x 3² x 7.
The product notation is 2² x 3² x 5 x 7.

If required, you can simplify the product notation by multiplying the bases and their respective exponents. For example, 2² x 3² x 5 x 7 = 4 x 9 x 5 x 7 = 1260.

Here's an example of how to find the LCM of 12 and 15 using product notation:

Write each number as a product of prime factors.

  • The prime factorization of 12 is 2² x 3
  • The prime factorization of 15 is 3 x 5

Write the prime factors of each number in product notation, multiplying each factor by the highest power it appears in either number: 2² x 3 x 5. Note that the factor 5 appears in only one of the numbers but we still include it in the product notation.

To get the LCM as a number you can simplify the product notation by multiplying the bases and their respective exponents.

Therefore, the LCM of 12 and 15 is 2² x 3 x 5 in product notation, which is 60.


In this topic you are asked to use prime factorization to derive the lowest common multiple of 2 numbers and present your answer using product notation.

With our Cat and mouse math game you will be practicing the topic "LCM using product notation" from 8th grade / Number / Multiples Factors Primes / Multiples Factors Primes. The math in this game consists of 16 questions that ask you to identify the lowest common multiple (LCM) of 2 numbers using product notation.

Move the cat to catch the white mice, hit the blue balloons, but avoid the red ones

Large thumbnail for math game Cat and mouse

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...

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How to play CAT AND MOUSE to practice
'LCM using product notation' for 8th grade

Free Math Games screenshot of the CAT AND MOUSE game for secondary

CAT AND MOUSE is a quirky take on the perennial enmity of ponderous predator and plucky prey. Here are the basics:

  1. Press "PLAY" on the CAT AND MOUSE settings page to open the game.
  2. You are a ginger cat overwhelmed by a serious mouse problem.
  3. Luckily your job is only to catch the white mice, not all the mice.
  4. Trouble is, they are not easy to catch and will try to avoid you.
  5. Use the arrow keys or tap the screen in the direction you want the cat to go.
  6. You will need fast reaction times to catch those white mice, and the balloons keep getting in the way.
  7. Mouse scores are 25 points for each white mouse caught, minus 5 points for each white mouse that escapes.
  8. When you do catch a white mouse, a math question will appear.
  9. Answer the math question correctly for those extra points...
  10. You get 50 points for each correct answer, but you lose 25 points for each wrong answer.
  11. Hitting blue balloons gives you extra points, but 3 hits on a balloon will burst it for that level.
  12. Hitting red balloons takes away points.
  13. Balloon scores are +5 or +10 points for blue balloons, -5 or -10 points for red balloons.
  14. This is a timed game and your final score is calculated by taking away your time in seconds from the points you have earned.
  15. If you get one of the 10 best scores you can add your name to the leaderboard for your chosen topic.
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