Perfect Square
Square Roots
Power of 10
Scientific Notation
Standard Form
1

If the square root is 5, what is the perfect square?

25

1

Which value is equivalent to √42 ?

4

1

A pattern with the powers of 10 is shown below.

103 = 1000

102 = 100

101 = 10

100 = 1

10-1 = 0.1

10-2 = ?

Each time the exponent decreases by 1, the value of the power is _______( one-tenth of, one-half of ) the previous value, so 10-2 has a value of _______.

1. one-tenth of

2. 0.01

1

Which two statements show a number and its equivalent written in scientific notation?

A. 2,800 = 2.8 x 103 

B. 1.203 x 105 = 0.01203

C. 42,000 = 4.2 x 104

D. 9.5 x 10-6 = 95,000,000

A and C

1

Convert 6.4 x 10-3 to standard form.

0.0064

2

Select all the perfect squares below.

20      361       120

16      196       289

81      160        50

16, 81, 361, 196, 289

2

If the perfect square is 196, what is the square root?

14

2

What is the equivalent decimal form for 10-5 ?

0.00001

2

What is 72,000 written in scientific notation?

7.2 x 104

2

Convert 4.8 x 106 to standard form.

4,800,000

3

If the square root is 11, what is the perfect square?

121

3

A square playground has an area of 64 square meters. What is the length of each side of the playground?


8 meters

3

What is the value of x if 10x = 0.001?

A. -2

B. -3

C. -4

B. -3

3

What is 0.00045 written in scientific notation?

4.5 x 10-4

3

Convert 1.25 x 10-8 to standard form.

0.0000000125

4

If the square root of the area of the school's new square-shaped cafeteria floor is 17 feet. 

Then the area is ________ square feet.

289

4

If the perfect square is 225, what is the square root?

15

4

TRUE or FALSE: 

1. 10-6 = 1/1,000,000

2. 10-4 = -0.0001

1. TRUE

2. FALSE

4

What is 91,200,000,000 written in scientific notation?

9.12 x 1010

4

Convert 3.5 x 104 to standard form.

35,000

5

Make a true statement by filling in values that represent the model.

25 = 5

5

Markey is given a perfect square number. He wants to determine the square root of the given number. Which is the BEST method for Markey to use to determine the square root?

A. Multiply the given number by 2.

B. Determine which number can be multiplied by 2 to produce the given number.

C. Determine which number can be multiplied by itself to produce the given number. 



C. Determine which number can be multiplied by itself to produce the given number. 

5

Write the fraction and decimal form of 10-7 ?

Fraction form = 1/10,000,000

Decimal form = 0.0000001

5

The population of a country is approximately 331,000,000 people.

Write the population in scientific notation.

3.31 x 108

5

A large city has a population of approximately 1.35 × 106 people.

What is the population in standard form?

1,350,000 people

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