Question

Identify the property that the statement illustrates.

$(- 7 u) \left(1\right) = - 7 u$

Short answer

The property is Multiplicative Identity Property of Multiplication.

Step-by-step solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Multiplicative Identity Property of Multiplication of Real Numbers: 

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

Multiplicative Identity Property of Multiplication

Property: $\text{a} · 1 = \text{a}$

If you multiply any real number with one (1), the product will be the original number itself.

Example: $\text{33} · 1 = 1 · \text{33} = 33$

Step-3 – Write the name of the property: (– 7u)(1) = – 7u  

Multiplicative Identity Property of Multiplication states, if you multiply any real number with one (1), the product will be the original number itself.

Property: $\text{a} · 1 = \text{a}$

Name of the property for this equation localid="1649085396556" $\left(-7u\right)\left(1\right)=-7u$is Multiplicative Identity Property of Multiplication.