Real numbers

Advanced Math 7 · Unit 2 · reals-radicals-sci-notation

reals-radicals-sci-notation

Name ______________________________Date ______________

1.
$\sqrt{50}$ lies between two consecutive whole numbers. Enter the smaller one.
Answer: ______________
2.
Write $4{,}560{,}000$ in scientific notation $a \times 10^k$ with $1 \le a < 10$ . Enter $a$ .
Answer: ______________
3.
Which list contains only rational numbers?
1. (A)
  $\sqrt{50},\ \dfrac{22}{7},\ 0.5$
2. (B)
  $\pi,\ 3.14,\ \dfrac{22}{7}$
3. (C)
  $\sqrt{2},\ \sqrt{4},\ \sqrt{8}$
4. (D)
  $\sqrt{49},\ 0.\overline{3},\ -\dfrac{5}{8}$
4.
Which statement is true?
1. (A)
  $\sqrt{\dfrac{16}{25}}$ is irrational because it is a square root.
2. (B)
  $\pi = \dfrac{22}{7}$ , so $\pi$ is rational.
3. (C)
  $\sqrt{\dfrac{16}{25}} = \dfrac{4}{5}$ , so it is rational.
4. (D)
  $0.\overline{3}$ is irrational because its decimal never ends.
5.
How many integers $n$ satisfy $\sqrt{10} < n < \sqrt{90}$ ?
1. (A)
  $5$
2. (B)
  $6$
3. (C)
  $7$
4. (D)
  $8$
5. (E)
  $80$