Free Printable 8GR U4P2: Sq & Cube Roots; Est Quant; Sci Notation

1.

What is Scientific Notation?

LT #2: I can use scientific notation for large and small quantities.

a)

A way to write, compare, and manipulate very large and very small numbers.

b)

A way to write numbers using a coefficient multiplied by a power of base 10.

c)

A way to examine and answer scientific questions through experiments.

d)

A way to write a lab report.

2.

How does a cube root relate to the volume of a cube?

LT #1: I can evaluate square and cube roots.

a)

It is the side length of the cube

b)

It is the base area of the cube

c)

It is the volume of a cube

d)

None of the above

3.

Which is greater: (-4)² or -4²?

LT #1: I can evaluate square and cube roots.

a)

(-4)²

b)

-4²

c)

They are equal

4.

Evaluate the expression.

\left(\frac{2}{5}\right)^2

Review: I can square a real number.

a)

$\frac{4}{25}$

b)

$\frac{4}{10}$

c)

$\frac{4}{5}$

d)

None of the above

5.

Evaluate the expression:

\sqrt{\frac{4}{9}}

LT #1: I can evaluate square and cube roots.

a)

$\frac{2}{3}$

b)

$\frac{2}{9}$

c)

$\frac{4}{3}$

d)

None of the above

6.

Taking the square root is _________________ of square a number.

LT #1: I can evaluate square and cube roots.

a)

diverse

b)

popular

c)

inverse

d)

converse

7.

Evaluate the expression:

^3\sqrt{216^{ }}

LT #1: I can evaluate square and cube roots.

a)

6

b)

-6

c)

72

8.

Evaluate

^3\sqrt{\frac{8}{27}}

LT #1: I can evaluate square and cube roots.

a)

$\frac{2}{3}$

b)

$\frac{2}{27}$

c)

$\frac{8}{3}$

d)

None of the above

9.

There are approximately 100 8th graders at Manistee Middle High School and 110,000 8th graders in the state of Michigan. How many times greater is the state's population of 8th graders compared to the number of 8th graders at Manistee Middle High School.

LT #2: I can estimate large and small values using powers of ten.

a)

$1.1\ \times10^3$

b)

$9.0\times10^{-4}$

c)

$1.1\ \times10^{-3}$

d)

$9.0\times10^4$

10.

Earth is 26,000,000 from Venus and 48,300,000 from Mars. How much farther is the Earth from Mars than it is Venus?

LT #4: I can perform operations with scientific notation.

a)

$2.23\ \times10^7$

b)

$22,300,000$

c)

$7.43\ \times10^7$

d)

$74,300,000$

11.

A scientist thinks he may have discovered new atomic particles. The first particle has a mass of $1.71\ \times10^{-25}\ grams$ and the second has mass of $1.67\times10^{-24}\ grams$ . What is their mass added together?

LT #4: I can perform operations with scientific notation.

a)

$1.841\ \times10^{-24}$

b)

$3.38\ \times10^{-24}$

c)

$3.38\ \times10^{-25}$

d)

$18.41\ \times10^{-25}$

12.

$\frac{\left(5,000,000\right)}{2.5\times10^3}$

Evaluate the expression.

LT #4: I can perform operations with scientific notation.

a)

$2\ \times10^3$

b)

$2,000$

c)

$2\times10^4$

d)

$20,000$

13.

$\left(8\times10^{-3}\right)\left(0.0003\right)$

Evaluate the expression.

LT #4: I can perform operations with scientific notation.

a)

$2.4\times10^{-6}$

b)

$0.0000024$

c)

$24\times10^{-7}$

d)

$0.00000024$

14.

$0.00000561$

Convert the number to scientific notation.

LT #2: I can use scientific notation for large and small quantities.

a)

$5.61\times10^{-6}$

b)

$561\ \times10^{-8}$

c)

$56.1\ \times10^{-7}$

d)

None of the above

15.

$2.614\ \times10^{11}$
Convert to standard notation.

LT #2: I can use scientific notation for large and small quantities.

a)

$261,400,000,000$

b)

$261,400,000,000,000$

c)

$26,140,000,000$

d)

$2,614,000,000$

16.

$2.45\ \times10^{-5}$

Convert to standard notation.

LT #2: I can use scientific notation for large and small quantities.

a)

$0.0000245$

b)

$245,000$

c)

$0.00000245$

d)

$0.00245$

8GR U4P2: Sq & Cube Roots; Est Quant; Sci Notation

Total questions: 16

Worksheet time: 9mins

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