The statement 5+6=11 5 + 6 = 11 is real demonstrates the Closure Property for Addition. 5⋅6=30 5 ⋅ 6 = 30 is real. Both 5 and 6 are real numbers. When we multiply them together, we get 30 , which is another real number, and 30 is the only answer we can get by multiplying 5⋅6 5 ⋅ 6 .
The Closure Property: The closure property of a whole number says that when we add two whole numbers, the result will always be a whole number. For example, 3 + 4 = 7 (whole number).
Closure Property Under Multiplication:
Ex: 7 × 4 = 28; (– 4) × (– 5) = 20. Closure Property Under Addition: Integers are enclosed under addition (+), meaning that for any two integers x and y, x + y is termed as an integer. Take for example: 5 + 9 = 7; (– 8) + 6 = – 2.
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Answer:
The statement 5+6=11 5 + 6 = 11 is real demonstrates the Closure Property for Addition. 5⋅6=30 5 ⋅ 6 = 30 is real. Both 5 and 6 are real numbers. When we multiply them together, we get 30 , which is another real number, and 30 is the only answer we can get by multiplying 5⋅6 5 ⋅ 6 .
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Step-by-step explanation:
Properties of Addition
The Closure Property: The closure property of a whole number says that when we add two whole numbers, the result will always be a whole number. For example, 3 + 4 = 7 (whole number).
Closure Property Under Multiplication:
Ex: 7 × 4 = 28; (– 4) × (– 5) = 20. Closure Property Under Addition: Integers are enclosed under addition (+), meaning that for any two integers x and y, x + y is termed as an integer. Take for example: 5 + 9 = 7; (– 8) + 6 = – 2.
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