/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q65. Multiple Choice Identify the pro... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Multiple Choice Identify the property illustrated by this statement:

2  ·  (9  ·  17)  =  (2  ·  9)  ·  17

F. Identity property of multiplication

G. Commutative property of multiplication

H. Associative property of multiplication

I. Associative property of addition

Short Answer

Expert verified

H is the correct option.

The statement 2  ·  (9  ·  17)  =  (2  ·  9)  ·  17illustrates the Associative Property of Multiplication.

Step by step solution

01

Step-1 – Apply the concept of product

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

02

Step-2 – Associative Property of Multiplication of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Multiplication

Property: a  ·  ( b  ·  c )  =  (a  ·  b)  ·  c

If you are multiplying three real numbers, the product is always the same regardless of their grouping.

Example: 6  ·  ( 4  ·  3 )  =  (6  ·  4)  ·  3=72

03

Step-3:  Identify the property that the statement 2 x (9 x 17) = ( 2 x 9 ) x 17  illustrates.

Associative property of Multiplication states that if you are multiplying three real numbers, the product is always the same regardless of their grouping.

Property: a  ·  ( b  ·  c )  =  (a  ·  b)  ·  c

Example: 6  ·  ( 4  ·  3 )  =  (6  ·  4)  ·  3=72

The statement 2  ·  (9  ·  17)  =  (2  ·  9)  ·  17illustrates the Associative Property of Multiplication.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.