Question

Evaluate the expression.Justify each of your steps.

$7 · 1 + 0$

Short answer

The value of the expression $7 · 1 +0=7$

Step-by-step solution

Step-1 – Apply the concept of product and addition

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.

The addition is a process of adding two or more numbers together. It is the one of the four basic operations in mathematics.

Step-2 – Properties of Multiplication and Addition 

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

Additive Identity Property of Addition

Property: a + 0 = a

If you add any real number with zero (0), the sum will be the original number itself.

Example: 5 + 0 = 5

Step-3: Evaluate the experssion 7  ·  1  +0. Justify each of your steps.

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

Property: $\text{a} · 1 = \text{a}$

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

According to the above property, we can write that:$7 · 1=7$

Additive Identity Property of Addition states that if you add any real number with zero (0), the sum will be the original number itself.

Property: a + 0 = a

Example: 5 + 0 = 5

According to the above property, we can write that $7+0=7$

The value of the expression $7 · 1 +0=7$