Math Problem Statement

give me a practice question that relates to Multiplying and dividing numbers in scientific notation

Solution

Sure! Here’s a practice question related to multiplying and dividing numbers in scientific notation:

Question:

Multiply and divide the following numbers in scientific notation:

(3.5×106)×(2.0×103)(5.0×102)\frac{(3.5 \times 10^6) \times (2.0 \times 10^3)}{(5.0 \times 10^2)}

Simplify your answer and express it in scientific notation.


Let me know if you'd like a detailed solution or have any questions!

Here are 5 more practice questions for you:

  1. Multiply (4.2×108)(4.2 \times 10^8) by (3.1×104)(3.1 \times 10^{-4}).
  2. Divide (6.0×105)(6.0 \times 10^5) by (2.5×102)(2.5 \times 10^2).
  3. Simplify (1.6×107)×(5.0×102)÷(4.0×104)(1.6 \times 10^7) \times (5.0 \times 10^2) \div (4.0 \times 10^4).
  4. Multiply and simplify: (7.3×103)×(9.2×104)(7.3 \times 10^{-3}) \times (9.2 \times 10^4).
  5. Divide: (2.7×109)÷(3.0×106)(2.7 \times 10^9) \div (3.0 \times 10^6).

Tip:

When multiplying numbers in scientific notation, multiply the coefficients (the numbers) and add the exponents. When dividing, subtract the exponents!

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Multiplication of Powers
Division of Powers
Exponents

Formulas

When multiplying: (a × 10^m) × (b × 10^n) = (a × b) × 10^(m + n)
When dividing: (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m - n)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 9-11