While adding three numbers given as, a student calculates in the following manner: (73 + 35) + 27 = (35 + 73) + 27 = 35 + (73 + 27) = 35 + 100 = 135 Which of the following properties of addition of numbers the student has used?

Commutative and Associative
Commutative and Distributive
Distributive and Identify
Identify and Associative

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : Commutative and Associative

The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

a + b = c and also b + a = c in addition
a x b = c and also b x a = c in multiplication

The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way

(A + B) + C = A + (B + C) in addition
(a × b) × c = a × (b × c) in multiplication

In the above example while adding 73 + 35 + 27 the student followed (73 + 35) + 27 = (35 + 73) + 27 = 35 + (73 + 27) = 35 + 100 = 135 where he/she followed the commutative and associative properties.

Distributive Property	a(b + c) = ab + ac.
Identity Property	The Identity property of multiplication states that when we multiply 1 by any number, the product is the number itself. The Identity property of addition states that when we 0 to any number, the sum is the number itself.

5 views Answered 2022-09-04 04:29

Related Questions

Six students A, B, C, D, E, F are sitting on the ground. A and B belong to the Ruby House, while the rest belong to Emerald House. D and F are tall, while others are short. C and D are wearing glasses while others are not wearing. Which student of Emerald House is tall and is wearing glass?

1 Answers 5 Views

Two processes X and Y need to access a critical section. Consider the following synchronization construct used by both the processes Process /* other code for process */ while(true) { varP = true; while(varQ == true) { /* Critical Section */ varP = false; } } /* other code for process */ Process /* other code for process */ while(true) { varQ = true; while(varP == true) { /* Critical Section */ varQ = false; } } /* other code for process */ Here, varP and varQ are shared variables and both are initialized to false. Which one of the following statements is true?

1 Answers 5 Views

Many wave properties are dependent upon other wave properties. Yet, one wave property is independent of all other wave properties. Which one of the following properties of a wave is independent of all the others?

1 Answers 5 Views

Which of the following assertions are CORRECT P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged?

1 Answers 4 Views

Which of the following statements correctly apply to inductive arguments A. They are neither conclusively valid nor invalid. B. Adding new premises makes no difference to the argument. C. Adding new premises may strengthen/weaken the argument. D. Conclusion follows from premises with absolute necessity. Choose the correct answer from the options given below:?

1 Answers 4 Views

Match List I with List II: List I (Method) List II (Purchase consideration) (A) Lump-sum payment method (I) Calculated by adding up the total amount (money value) of existing shares, preference shares and cash received from the purchasing company for the shareholders of the vendor company. (B) Net Assets Method (II) On the basis of ratio in which the shares of the transferee company are to be exchanged for the shares of the transferor company. (C) Net Payment Method (III) The amount to be paid by the transferee company to transferor company for amalgamation of its business. (D) Swap Ratio Method (IV) Arrived at by adding the agreed value of assets taken over and deducting there from the agreed values of liabilities. Choose the correct answer from the options given below:?

1 Answers 7 Views

While solving a problem on addition 87 + 16, a student writes the answer as \(\begin{equation} \frac{ \begin{array}[b]{r} 87\\ + 16 \end{array} }{ 913 } \end{equation}\) Which of the following represents the most appropriate response to the answer given by the students?

1 Answers 5 Views

While multiplying the three numbers given as 25 × 18 × 4, a student calculates in following manner: (25 × 18) × 4 = (18 × 25) × 4 = 18 × (25 × 4) = 18 × 100 = 1800 Which of the following properties of multiplication of numbers the student has used?

1 Answers 4 Views

A middle school mathematics teacher has completed the topic on 'types of quadrilaterals and their properties'. While summarizing the key points, one of her students responded. 'A square is both a rhombus and a rectangle'. The student is at which stage of geometric reasoning as per Van Hiele's theory of geometrical development?

1 Answers 5 Views

A middle school teacher posed the following question to the class: "Using the digits 2,3,6 and 9 only once make a decimal number closest to 64" Student A responded: "Its 62.39" Student B responded: "I think I can arrange the digits again to get a number that is more closer to 64" Which of the following statements is/are correct in the above context (a) The question assesses the students on their ability to compare two decimal numbers. (b) The response of student B is wrong as 62.39 s the correct answer. (c) There can be multiple answer to the given question. (d) The teacher can initiate the discussion and let students critically analyse the reasoning of others. Choose the correct option.?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)