Question
- A square patio has an area of 200 square feet. How long is each side
of the patio to the nearest tenth?
1.2 Sets of Real Numbers
Write all names that apply to each number.
-
-
- Tell whether the statement “All integers are rational numbers” is true
or false. Explain your choice.
of the patio to the nearest tenth?
1.2 Sets of Real Numbers
Write all names that apply to each number.
or false. Explain your choice.
Ask by Powell Ward. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
7. Each side of the patio is approximately 14.1 feet long.
1.2 Sets of Real Numbers
8.
is a natural number, whole number, integer, rational number, and real number.
9.
is an irrational number and a real number.
**10. The statement “All integers are rational numbers” is true because every integer can be expressed as a fraction with a denominator of 1, satisfying the definition of a rational number.
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Beyond the Answer
To figure out the length of each side of the square patio, you’d take the square root of the area. Since the area is 200 square feet, you calculate the square root of 200, which is approximately 14.1 feet when rounded to the nearest tenth. So, each side of the patio is about 14.1 feet long – perfect for basking in the sun or hosting a barbecue!
Now, let’s dive into number classifications! The number
simplifies to 11, which is an integer, a rational number, and also a whole number. Meanwhile,
is an irrational number because it cannot be expressed as a fraction of two integers. Both types of numbers play vital roles in mathematics, swimming in a sea of numeric diversity! And yes, the statement “All integers are rational numbers” is true, as every integer can be expressed as a fraction (like 5 as
).