https://file.aiquickdraw.com/mathbot/file/1726841047823t9gxtuux.jpg

We are asked to find how many times greater the mass of a piece of paper (4.4 grams) is compared to the mass of a feather (8.0 × 10⁻³ grams). To solve this, we need to divide the mass of the paper by the mass of the feather.

The equation is:

\[
\frac{4.4}{8.0 \times 10^{-3}}
\]

### Step 1: Divide the numbers
\[
\frac{4.4}{8.0} = 0.55
\]

### Step 2: Simplify the power of 10
Since the feather’s mass is in scientific notation \(10^{-3}\), dividing by \(10^{-3}\) is the same as multiplying by \(10^{3}\). So:

\[
0.55 \times 10^{3} = 5.5 \times 10^{2}
\]

Thus, the mass of the piece of paper is **5.5 × 10²** times greater than the mass of the feather.

The correct answer is **5.5 × 10²**.

Would you like more details or have any questions?

Here are some related questions:
1. How does scientific notation help simplify large and small number calculations?
2. What is the purpose of dividing by a power of 10 in this context?
3. Can you explain why multiplying by \(10^3\) is equivalent to dividing by \(10^{-3}\)?
4. What other real-world examples require comparing quantities using scientific notation?
5. How would you compare two quantities when they both are expressed in scientific notation?

**Tip**: When dividing by a number in scientific notation, remember that dividing by a negative exponent is equivalent to multiplying by the positive exponent of the same number.

A piece of paper has a mass of 4.4 grams. A feather has a mass of 8.0 × 10⁻³ grams. The mass of the piece of paper is how many times greater than the mass of the feather?

Learn how to compare the mass of a piece of paper (4.4 grams) and a feather (8.0 × 10⁻³ grams) by using scientific notation. The solution involves dividing two quantities in scientific notation, a common method for simplifying large and small number calculations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation