https://file.aiquickdraw.com/mathbot/file/1726181377716t0ub9qn6.jpg

The question asks to find the original weight of a cell sample before Omar divided it into 8 batches, each weighing \( 3.9 \times 10^{-10} \) grams.

### Step-by-Step Solution:

1. **Weight of each batch:** Each batch weighs \( 3.9 \times 10^{-10} \) grams.
2. **Number of batches:** There are 8 batches in total.
3. **Total (original) weight:** To find the total original weight, multiply the weight of one batch by the number of batches:
   \[
   \text{Total Weight} = 8 \times (3.9 \times 10^{-10}) = 8 \times 3.9 \times 10^{-10}.
   \]

4. **Simplify the multiplication:**
   \[
   8 \times 3.9 = 31.2.
   \]
   So, the total weight is:
   \[
   31.2 \times 10^{-10} \text{ grams}.
   \]

5. **Express in scientific notation:** Rewrite \( 31.2 \) in proper scientific notation as \( 3.12 \times 10^1 \). Hence:
   \[
   31.2 \times 10^{-10} = 3.12 \times 10^1 \times 10^{-10} = 3.12 \times 10^{-9} \text{ grams}.
   \]

### Final Answer:
The original sample weight is \( 3.12 \times 10^{-9} \) grams.

Do you want more details or have any questions?

Here are 5 related questions for practice:
1. If each batch weighed \( 5.6 \times 10^{-9} \) grams, and there were 4 batches, what was the original sample weight?
2. How do you convert numbers into scientific notation?
3. What are the rules for multiplying powers of 10 in scientific notation?
4. If the number of batches increased to 16, how would the calculation change?
5. How would you solve for the original weight if each batch weighed \( 1.2 \times 10^{-12} \) grams?

**Tip:** When multiplying numbers in scientific notation, combine the coefficients and add the exponents for the powers of 10.

Omar broke a cell sample into 8 batches, each weighing 3.9 × 10^-10 grams. How much did the original sample weigh? Use scientific notation to express your answer.

Learn how to calculate the original weight of a sample divided into 8 batches, each weighing 3.9 × 10^-10 grams. This problem covers scientific notation, multiplication, and powers of 10. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation