Is 0.9876.... a rational or irrational number? (1 point) Responses rational rational irrational

The number 0.9876... is a rational number.

Order the rational and irrational numbers from least to greatest. (1 point)

It is not possible to provide a specific order of rational and irrational numbers from least to greatest, as both rational and irrational numbers are infinitely dense on the number line. This means that between any two rational or irrational numbers, there will always be infinitely many other rational or irrational numbers. Therefore, there is no absolute order among them.

Simplify the expression. (2 points) Responses

I'm sorry, but you haven't provided an expression to simplify. Could you please provide the expression?

Simplify. Express your answer as a single term using exponents. (1 point) 178^5 ×178^9 = ?

To simplify the expression 178^5 × 178^9, you can add the exponents when multiplying two expressions with the same base.

So, 178^5 × 178^9 is simplified to 178^(5+9), which is equal to 178^14.

Simplify. Express your answer using positive exponents. (1 point) 227^8 / 227^6 =

When dividing two expressions with the same base, you can subtract the exponents.

Therefore, 227^8 / 227^6 simplifies to 227^(8-6), which is equal to 227^2.

The Bohr radius of a hydrogen atom is 0.0000000000529. Express the Bohr radius of a hydrogen atom in scientific notation.(1 point)

The Bohr radius of a hydrogen atom, 0.0000000000529, can be expressed in scientific notation as 5.29 x 10^-11.