Math Problem Statement

1. Use the Associative Property and the Product of Powers Property to simplify the expression below. Express your answer in scientific notation. (9.6 × 10^3) × (6.7 × 10^2) 2. Select all the values that are equivalent to (8.59 × 10^3) − (3.2 × 10^3). 3. What is the value of n in this equation? (2.4 × 10^3)^x × (3 × 10^7) = 7.2 × 10^9 4. Find (6.4 × 10^3) + (3.2 × 10^2). Express your answer in scientific notation. 5. The population of China is approximately 1.381 × 10^9, and the population of the United States is approximately 3.23 × 10^8. About how many people live in both countries combined? Express your answer in scientific notation.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Associative Property
Product of Powers Property
Addition and Subtraction in Scientific Notation

Formulas

Scientific notation: a × 10^b
Product of powers: a^m × a^n = a^(m+n)
Associative Property of Multiplication: (a × b) × c = a × (b × c)

Theorems

Laws of Exponents
Associative Property of Multiplication

Suitable Grade Level

Grades 8-10