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Questions and Answers
What is the LCM of the numbers 10 and 12?
The GCF of the numbers 11 and 2 is 1.
True
How many pieces of clothing will the factory produce in 20 days if it produces 425 pieces per day?
8500
Ahmed trains every ______ days and Osama trains every ______ days. They will train together again after ______ days.
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Match the type of calculation to the strategy used:
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Study Notes
Greatest Common Factor (GCD) & Least Common Multiple (LCM)
- The GCD of 11 and 2 is 1.
- The LCM of 11 and 2 is 22.
- The GCD of 10 and 12 is 2.
- The LCM of 10 and 12 is 60.
- The LCM of 9, 6, and 3 is 18.
- To find out the maximum number of friends Yusuf can distribute his pens and notebooks to, he should use the GCD.
- To find out how many days will pass until Ahmed and Osama train together again, they should use the LCM.
Distributive Property
- The distributive property can be used to simplify multiplication problems.
- 8 × 17 = (8 × 10) + (8 × 7) = 80 + 56 = 136
- 9 × 12 = (9 × 10) + (9 × 2) = 90 + 18 = 108
- 42 × 34 = (42 × 30) + (42 × 4) = 1260 + 168 = 1428
Standard Multiplication Algorithm
- The standard algorithm is a method used to multiply multi-digit numbers.
- 24 × 46 = 1104
Area Model for Multiplication
- The area model is used to find the product of two numbers by visualizing them as the dimensions of a rectangle.
- 32 × 201 = 6432
- 40 × 150 = 6000
Multiplication Applications
- Mohammed paid a total of 10,104 pounds for his phone.
- Multiplying 425 × 20 gives us 8,500 pieces of clothing produced.
- 12 × 234 = 2,808
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Description
This quiz explores concepts related to the Greatest Common Factor (GCD) and Least Common Multiple (LCM), along with multiplication methods such as the Distributive Property and the Standard Algorithm. Test your understanding of how these mathematical principles apply to various problems and scenarios. Ideal for students learning about multiplication and factors.
