## Algebra 1

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-4 Properties of Real Numbers - Practice and Problem-Solving Exercises - Page 26: 14

#### Answer

$1900$

#### Work Step by Step

We start with the given expression: $10\times2\times19\times5$ The commutative property of multiplication states that changing the order of the factors does not affect the product. We use this property to rearrange the factors: $10\times2\times5\times19$ The associative property of multiplication states that changing the grouping of the factors does not affect the product. We use this property to group two of the factors: $10\times(2\times5)\times19$ We now use the order of operations to simplify the expression: First, we simplify inside the parentheses: $10\times10\times19$ Next, we multiply from left to right: $100\times19=1900$

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