Question
4 According to a recent survey, the number of pet dogs and cats in
the United States is about
. Write an estimate for the
number of pet dogs and cats as a single digit times an integer
power of 10 . Show your work.
the United States is about
number of pet dogs and cats as a single digit times an integer
power of 10 . Show your work.
Ask by Fleming George. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are approximately
(200 million) pet dogs and cats in the United States.
Solution
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:
-
Start with the given number:
-
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.
-
Express in scientific notation:
-
can be written as:
- Here, 2 is the single digit, and 8 is the integer exponent.
-
Final Estimate:
This means there are approximately
(200 million) pet dogs and cats in the United States.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To express the number
in scientific notation, we first need to find a single digit followed by a power of ten.
- Start with the number:
. - Move the decimal point 8 places to the left to get
. - Since we moved the decimal 8 places, we can express the number as:
.
To convert this to match the requirement of one digit followed by an integer power of ten, we can round
to
(since we are estimating):
Final estimate:
.