Verify the closure property of addition and multiplication for -5/7 and 8/9.
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Step-by-step explanation:
Closure property for addition of integers:
When two integers are added, the result is always an integer.
For eg. 23+5=28 and −3+10=7
Hence, integers are closed for addition.
Closure property for subtraction of integers:
When one integer is subtracted from another integer, the result is always an integer.
For eg. 23−5=18 and −3−10=−13
Hence, integers are closed for subtraction.
Closure property for multiplication of integers:
When two integers are multiplied, the result is always an integer.
For eg. −5×2=−10 and −3×−10=30
Hence, integers are closed for multiplication.
Closure property for division of integers:
When two integers are divided, the result is not always an integer.
For eg. −6÷2=−3 and 30÷10=3
However, 10÷3=3.333, which is not an integer.
Hence, integers are not closed for division.
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