Basic laws of math
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This explain the commutative and associative law with respect to addition and multiplication detail with examples
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The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to find the length of the third side of a right triangle if the other two sides are known. The theorem is commonly used in fields like architecture, engineering, and navigation to calculate distances, lengths, and other spatial relationships.
Basics of math
Addition involves adding two or more numbers together. The plus sign '+' is used to denote addition. Larger numbers can be added in columns. The addition table provides a way to look up sums by going to the row of the first number and column of the second number. There are several strategies provided for adding numbers, such as jumping, adding up to ten, and doing the tens last. The topic of addition is continued in the next video.
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Basic laws of math
- 3. Commutative Law of Addition; In this law, order dose not matter when you add up numbers, you will always get the same answer. If we exchange numbers over and over ,get the same answer ... when we add numbers
- 4. ANOTHER NAME this law is also called the Order Property.
- 5. If two numbers then formula as follows; a + b = b + a
- 6. If three numbers then formula as follows; x + y + z = z + x + y = y + x + z using numbers where x = 5, y = 1, and z = 7 5 + 1 + 7 = 13 7 + 5 + 1 = 13 1 + 5 + 7 = 13
- 7. Commutative Law of Multiplication; It is an arithmetic law that says it doesn't matter what order you multiply numbers, you will always get the same answer. It is very similar to the commutative addition law.
- 8. If two terms then the formula as follows; a × b = b × a If a=3 and b=5 Then a × b =15 b × a=15
- 9. If three terms then formula as follows; x * y * z = z * x * y = y * x * z where x = 4, y = 3, and z = 6 4 * 3 * 6 = 12 * 6 = 72 6 * 4 * 3 = 24 * 3 = 72 3 * 4 * 6 = 12 * 6 = 72
- 10. Commutative Percentages! Because a × b = b × a it is also true that a% of b = b% of a Example: 8% of 50 = 50% of 8, which is 4
- 11. Associative Law of Addition; Changing the grouping of numbers that are added together does not change their sum. It doesn't matter how we group the numbers
- 12. ANOTHER NAME; This law is also called the Grouping Property.
- 13. If three terms then formula as follows; (a + b) + c = a + (b + c)
- 14. Associative Law of Multiplication; The Associative Law of Multiplication is similar to the same law for addition. It says that no matter how you group numbers you are multiplying together, you will get the same answer.
- 15. If three terms then formula as follows; (a × b) × c = a × (b × c)
- 16. Examples; (2 + 4) + 5 = 6 + 5 = 11 Has the same answer as this:2 + (4 + 5) = 2 + 9 = 11 (3 × 4) × 5 = 12 × 5 = 60 Has the same answer as this:3 × (4 × 5) = 3 × 20 = 60
- 17. 5 × (2 × 9) is also equal to: A 5 - (2 - 9) B 5 × 2 - 9 C (5 × 2) × 9 D 5 × 11 C correct answer 5 × (2 × 9) = (5 × 2) × 9 (The Associative Law)