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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

2. Areas of Triangles

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Exercise 4 Page 295

What effect does multiplying a real number by 1 have on the number?

Identity Property of Multiplication

Practice makes perfect

To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed. n*1=n In this case, the terms are being multiplied and one of the factors is 1. Because multiplication of a real number by 1 has no effect on the value of the number, 1 is known as the multiplicative identity. Therefore, the given equation demonstrates the Identity Property of Multiplication.

n*1=n

Multiply

n=n

Extra

The Other Properties

In this exercise, we saw an example of the Identity Property of Multiplication. Now let's review other Properties of Real Numbers.

Commutative Property of Multiplication: This property shows that changing the order of factors being multiplied does not change the product.
Associative Property of Addition: This property shows that changing the grouping of the terms being added does not change the sum.
Associative Property of Multiplication: This property shows that changing the grouping of the factors being multiplied does not change the product.
Distributive Property: This property shows that the product of a number and a parenthetical factor is equal to the sum of the products of the number and each term inside the parentheses.

Subchapter links

Try It p.292-293

Self-Assessment for Concepts & Skills p.293

Self-Assessment for Problem Solving p.294

Review & Refresh p.295