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10-1/3 of (9/(-3) +(16-2*3-4(4-6)))
? Related: Properties of Division Of Integers
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10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division O...
Properties of Division of Integers
Division of integers has several properties that help us make calculations easier and more efficient. Here are some of the significant properties of division of integers:
Solution to the Problem
Now, let's apply these properties to solve the given problem:
10-1/3 of (9/(-3) (16-2*3-4(4-6)))
First, we simplify the expression inside the parentheses:
9/(-3) = -3
16-2*3-4(4-6) = 16-6-4(-2) = 16-6+8 = 18
So, the expression becomes:
10-1/3 of (-3)(18)
Next, we simplify the expression inside the parentheses:
(-3)(18) = -54
So, the expression becomes:
10-1/3 of (-54)
Now, we can use the distributive property of division to simplify the expression:
10-1/3 of (-54) = 10 - (-18) = 10 + 18 = 28
Therefore, the final answer is 28.
Division of integers has several properties that help us make calculations easier and more efficient. Here are some of the significant properties of division of integers:
- Division is not commutative: The quotient obtained by dividing two integers is not the same as the quotient obtained by reversing the order of the integers.
- Division by zero is undefined: We cannot divide any number by zero. The quotient is undefined.
- Division is distributive: Dividing a sum or difference of integers is the same as dividing each term separately and then adding or subtracting the quotients.
- Division is associative: When dividing three or more integers, we can group the integers in any way we want and still get the same quotient.
- Division of integers results in either a quotient or a remainder: When we divide one integer by another, we get a quotient and a remainder. The quotient is the number of times the divisor goes into the dividend evenly, and the remainder is the amount left over.
Solution to the Problem
Now, let's apply these properties to solve the given problem:
10-1/3 of (9/(-3) (16-2*3-4(4-6)))
First, we simplify the expression inside the parentheses:
9/(-3) = -3
16-2*3-4(4-6) = 16-6-4(-2) = 16-6+8 = 18
So, the expression becomes:
10-1/3 of (-3)(18)
Next, we simplify the expression inside the parentheses:
(-3)(18) = -54
So, the expression becomes:
10-1/3 of (-54)
Now, we can use the distributive property of division to simplify the expression:
10-1/3 of (-54) = 10 - (-18) = 10 + 18 = 28
Therefore, the final answer is 28.
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10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers?
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10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers?.
10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10-1/3 of (9/(-3) +(16-2*3-4(4-6))) Related: Properties of Division Of Integers?.
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