Math Problem Statement

There are a total of 228,000 books in the library. Write this value in scientific notation.

Solution

To write 228,000 in scientific notation:

  1. Move the decimal point to the left until you have a number between 1 and 10.

    • 228,000228,000 becomes 2.282.28.
  2. Count how many places you moved the decimal point:

    • The decimal was moved 5 places to the left.

Therefore, in scientific notation, 228,000228,000 is written as: 2.28×1052.28 \times 10^5

Does that make sense, or would you like any further clarification?


Here are 5 related questions for practice:

  1. How would you write 5,600,000 in scientific notation?
  2. What is the scientific notation of 0.0078?
  3. Convert 4.52×1044.52 \times 10^4 back to standard form.
  4. Why is scientific notation useful for large and small numbers?
  5. How would you write 315,000 in scientific notation?

Tip: In scientific notation, always ensure the first number (the coefficient) is between 1 and 10!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponents

Formulas

Scientific Notation: N × 10^n

Theorems

Place Value in Base 10

Suitable Grade Level

Grades 6-8