4 According to a recent survey, the number of pet dogs and cats in the United States is about $$ 183,900,000 $$. Write an estimate for the number of pet dogs and cats as a single digit times an integer power of 10 . Show your work.

Question

UpStudy AI · Accepted Answer

To estimate the number of pet dogs and cats in the United States as a single digit times an integer power of 10, follow these steps:

1. **Start with the given number:**
   $$
   183,\!900,\!000
   $$

2. **Round to one significant digit:**
   - The first digit is **1**, and the next digit is **8** (which is 8/10 of the way to the next ten).
   - Rounding **183,900,000** to one significant digit gives **200,000,000**.

3. **Express in scientific notation:**
   - $$200,\!000,\!000$$ can be written as:
   $$
   2 \times 10^8
   $$

- Here, **2** is the single digit, and **8** is the integer exponent.

**Final Estimate:**
$$
2 \times 10^8
$$

This means there are approximately $$2 \times 10^8$$ (200 million) pet dogs and cats in the United States.
There are approximately $$2 \times 10^8$$ (200 million) pet dogs and cats in the United States.

4 According to a recent survey, the number of pet dogs and cats in the United States is about \( 183,900,000 \). Write an estimate for the number of pet dogs and cats as a single digit times an integer power of 10 . Show your work.

Real Tutor Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions