Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.

Question

Square root of 10, -11, 9/10

Answer 1

Let's first classify each number into its appropriate subsets of real numbers:

1. Square root of 10:

   • This is an irrational number because it cannot be expressed as a fraction of two integers.
   • Subset: Irrational numbers, Real numbers.

2. -11:

   • This is an integer and also a rational number because it can be expressed as -11/1.
   • Subset: Integer, Rational numbers, Real numbers.

3. 9/10:

   • This is a rational number because it can be expressed as a fraction of two integers (9 and 10).
   • Subset: Rational numbers, Real numbers.

Now, let's order these numbers from least to greatest:

• -11 (the smallest)
• 9/10
• √10 (approximately 3.16)

So in order from least to greatest, we have:

-11, 9/10, √10.