Math Problem Statement

Convert the given expanded forms using powers of 10 into standard numbers.

Solution

The problem in the image asks for the expanded form of numbers using powers of 10. Here’s the breakdown of each question:

Question 1:

Expanded Form:
8×106+3×105+9×102+4×101+7×1008 \times 10^6 + 3 \times 10^5 + 9 \times 10^2 + 4 \times 10^1 + 7 \times 10^0

Standard Form:
830,947830,947


Question 2:

Expanded Form:
6×108+4×106+6×1016 \times 10^8 + 4 \times 10^6 + 6 \times 10^1

Standard Form:
604,000,60604,000,60 (Simplified as 604,060604,060)


Question 3:

Expanded Form:
3×109+2×108+7×101+4×1003 \times 10^9 + 2 \times 10^8 + 7 \times 10^1 + 4 \times 10^0

Standard Form:
3,200,000,0743,200,000,074


Let me know if you'd like a detailed explanation of how to convert between expanded and standard form or help with similar examples!


5 Related Questions:

  1. What are the key steps to convert an expanded form to its standard number?
  2. How do powers of 10 simplify writing very large or very small numbers?
  3. What is the value of 10010^0, and why is it important in expanded forms?
  4. Can you express a decimal (e.g., 0.005) in expanded form using negative powers of 10?
  5. How can expanded form help in understanding place values of a number?

Tip:

When writing numbers in expanded form, make sure to organize them by descending powers of 10 for clarity!

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Math Problem Analysis

Mathematical Concepts

Powers of 10
Place Value
Expanded Form

Formulas

Standard Form = Σ (Digit × 10^Power)

Theorems

Place Value System

Suitable Grade Level

Grades 4-6