Math Problem Statement

Rewrite this expanded form numeral in decimal form: (2 × 10^7) + (7 × 10^6) + (5 × 10^5) + (8 × 10^2) + (8 × 10^1) + (9 × 10^0)

Solution

The expression provided in the image is:

(2×107)+(7×106)+(5×105)+(8×102)+(8×101)+(9×100)(2 \times 10^7) + (7 \times 10^6) + (5 \times 10^5) + (8 \times 10^2) + (8 \times 10^1) + (9 \times 10^0)

To rewrite this in decimal form, we can calculate each term:

  1. 2×107=20,000,0002 \times 10^7 = 20,000,000
  2. 7×106=7,000,0007 \times 10^6 = 7,000,000
  3. 5×105=500,0005 \times 10^5 = 500,000
  4. 8×102=8008 \times 10^2 = 800
  5. 8×101=808 \times 10^1 = 80
  6. 9×100=99 \times 10^0 = 9

Now, sum all these values:

20,000,000+7,000,000+500,000+800+80+9=27,500,88920,000,000 + 7,000,000 + 500,000 + 800 + 80 + 9 = 27,500,889

So, the decimal form of the expression is 27,500,889.

Would you like more details or have any questions?

Here are some related questions:

  1. How does scientific notation work when converting to decimal form?
  2. What happens when you have negative exponents in scientific notation?
  3. How can you simplify large numbers using powers of 10?
  4. Why is it important to understand place value when working with expanded forms?
  5. How can expanded forms help in understanding the significance of each digit?

Tip: Always break down each term in an expanded form to avoid errors when adding large numbers.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Place Value
Addition of Large Numbers

Formulas

Scientific Notation (a × 10^n)

Theorems

Place Value Theorem
Power of 10 Theorem

Suitable Grade Level

Grades 5-8