Real Number System
Square Roots
Scientific Notation
From Yesterday's Review
General knowledge
100

A student claims √121 is irrational number because it is a square root.


Is the student correct? Justify.

Incorrect. √121 = 11, which is rational (perfect square).

100

Between which two whole numbers is √90 located?

Between 9 and 10

100

Which number is written correctly in scientific notation?

A. 12.4 × 10³
B. 4.09 × 10⁻²
C. 0.75 × 10⁵

B. 4.09 × 10⁻²

100

What was our warm-up yesterday ?


Guess the word activity

100

This is the value of π (pi) rounded to four decimal places

3.1416

200

Classify √50 into all sets it belongs to:
Natural, Whole, Integer, Rational, Irrational, Real 

Irrational, Real

200

Simplify √144 – √36

12 – 6 = 6

200

Write 0.00504 kilometers in scientific notation and explain your exponent

5.04 × 10⁻³ kilometers

200

Fill in the blank with the correct inequality symbol

√95 ______ 9.1

√95

200

Solve: 3(x − 4) = 18

x=10

300

Which statement is true?

A. All terminating decimals are irrational
B. All repeating decimals are rational
C. All square roots are irrational
D. All integers are natural numbers

B. All repeating decimals are rational

300

Without a calculator which value is greater: √50 or 7?  

√50~ 7.07

300

The average distance from the Earth to the Sun is about
1.496 × 10⁸ kilometers.

Write this in standard form.

149,600,000 km

300

√25 best fits ?

Natural numbers

300

This is the slope of a line that rises 4 units and runs 2 units.

m=2 

400

The number –√36 best fits in which category?

Integer (whole numbers that are positive or negative)

400

Without a calculator, determine which one is greater: 14.1 or √200 

√200

400

A marine biologist discovered a new species of plankton. Its diameter was measured to be 0.00035 meters. Write this diameter in scientific notation.

0.00035=3.5×10-4

400

Evaluate 

10 + √169

-10

400

The area of a triangle with a base of 10 units and a height of 6 units is this.

30 square units

500

Order from least to greatest:

–√75, –8.6, –√64, –8.7

Answer: –8.7, –8.66, –8.6, –8

500

A square has a side length of √32. Is the perimeter the square rational or irrational ?

Irrational 

√32=5.657 

500

A city A has 2.5 × 10⁵ residents, and city B has 1.8 × 10⁵ residents.
Which city has more people? 

City A has more people 

2.5 × 10⁵ = 250,000
1.8 × 10⁵ = 180,000

500

How many questions did we x out from the review?

500

Formula for the Area of a circle

A = π r²

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