Robert B. Disman Elementry. 6th Grade Math Benchmark

1) What is 2(8)+9(8)+(2*2)

404

92

76

408

(use calculator for only small parts ex. 9*3)

Explanation

(use calculator for only small parts ex. 9*3)

2) Pick all factors of 7 ( no calculator)

35

42

41

21

49

45

56

108

The factors of a number are the numbers that can divide it evenly without leaving a remainder. To determine the factors of 7, we need to check which numbers from the given list can divide 7 without a remainder. From the list, we can see that 35, 42, 21, 49, and 56 are all divisible by 7. Therefore, these numbers are the factors of 7.

Explanation

The factors of a number are the numbers that can divide it evenly without leaving a remainder. To determine the factors of 7, we need to check which numbers from the given list can divide 7 without a remainder. From the list, we can see that 35, 42, 21, 49, and 56 are all divisible by 7. Therefore, these numbers are the factors of 7.

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3) What Is The GCF (Greatest Common Factor) of 5 and 15

3

15

5

4

The greatest common factor (GCF) is the largest number that divides evenly into both 5 and 15. In this case, the only number that divides evenly into both 5 and 15 is 5. Therefore, the GCF of 5 and 15 is 5.

Explanation

The greatest common factor (GCF) is the largest number that divides evenly into both 5 and 15. In this case, the only number that divides evenly into both 5 and 15 is 5. Therefore, the GCF of 5 and 15 is 5.

4) What Is the LCM (Least Common Multiple) of 5 and 15

5

3

14

15

The LCM (Least Common Multiple) is the smallest multiple that is divisible by both numbers being considered. In this case, the numbers are 5 and 15. The multiples of 5 are 5, 10, 15, 20, 25, and so on. The multiples of 15 are 15, 30, 45, 60, and so on. The smallest multiple that is common to both is 15, making it the LCM.

Explanation

The LCM (Least Common Multiple) is the smallest multiple that is divisible by both numbers being considered. In this case, the numbers are 5 and 15. The multiples of 5 are 5, 10, 15, 20, 25, and so on. The multiples of 15 are 15, 30, 45, 60, and so on. The smallest multiple that is common to both is 15, making it the LCM.

5) What Is The Order Of Operations (remember, PEMDAS)

Parentheses, Exponents, Multiply, Divide, Add, Subtract

Parentheses, Exponents, Divide, Multiply, Add, Subtract

Parentheses, Exponents, Multiply, Divide, Add or Subtract

Parentheses, Exponents, Multiply or Divide, Add, Subtract

Parentheses, Exponents, Multiply or Divide, Add or Subtract

The correct answer is "Parentheses, Exponents, Multiply or Divide, Add or Subtract". This order of operations, also known as PEMDAS, is a set of rules used to determine the sequence in which mathematical operations should be performed. According to PEMDAS, parentheses should be evaluated first, followed by exponents. After that, multiplication and division should be performed from left to right, and finally, addition and subtraction should be performed from left to right. This order ensures that calculations are done consistently and accurately.

Explanation

The correct answer is "Parentheses, Exponents, Multiply or Divide, Add or Subtract". This order of operations, also known as PEMDAS, is a set of rules used to determine the sequence in which mathematical operations should be performed. According to PEMDAS, parentheses should be evaluated first, followed by exponents. After that, multiplication and division should be performed from left to right, and finally, addition and subtraction should be performed from left to right. This order ensures that calculations are done consistently and accurately.