Chapter 1.5, Problem 37PPE

To determine

To Evaluate: The expression $3\cdot 7\cdot 10\cdot 2$ using the properties of numbers. Name the property used in each step.

Answer to Problem 37PPE

The value of expression $3\cdot 7\cdot 10\cdot 2$ is $420$

Explanation of Solution

Given:

The expression $3\cdot 7\cdot 10\cdot 2$

Concept Used:

According to the commutative property of multiplication,

For any two numbers $a$ and $b$ we have

  $a\cdot b=b\cdot a$

Calculation:

For the expression $3\cdot 7\cdot 10\cdot 2$

  $\begin{array}{c}3\cdot 7\cdot 10\cdot 2=3\cdot 10\cdot 7\cdot 2\text{ Commutative Property }a\cdot b=b\cdot a\\ =30\cdot 14\text{ Substitution}\\ =420\text{ Substitution}\end{array}$

Therefore, the value of expression $3\cdot 7\cdot 10\cdot 2$ is $420$

Conclusion:

The value of expression $3\cdot 7\cdot 10\cdot 2$ is $420$