Real Numbers

Unit 1 Review

Ordering a set of real numbers - Teacher Example

Ordering a set of real numbers - STEP 1

Know what the question is asking you to do  

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(i.e. is it asking you to sort from small to big?)

Ordering a set of real numbers - STEP 2

Create a table and convert to decimal form

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Ordering a set of real numbers - STEP 3

Create a number line and place numbers on the line

​-6.71 5.24 -6.3 0.89

Ordering a set of real numbers - STEP 4

Arrange your numbers based on the question

​-6.71 5.24 -6.3 0.89

Ordering a set of real numbers - STEP 5

Arrange your numbers based on the question

​-6.71 5.24 -6.3 0.89

STEP 6: Match the choice with your answer

​CFU

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​CFU

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Multiple Choice

A math teacher asked students to write the following numbers in order from greatest to least.

75%, ⅗, 0.84, ⅔

Which list shows the numbers in the correct order?

• 75%, ⅗, 0.84, ⅔

• 0.84, 75%, ⅔, ⅗

• ⅔, ⅗, 0.84, 75%

• ⅗, ⅔, 75%, 0.84

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• 0.7, 65%, ⅝, ⅔

• 0.7, ⅝, 65%, ⅔

• ⅝, 65%, ⅔, 0.7

• ⅝, ⅔, 65%, 0.7

Multiple Choice

• π

• √9

• π/9

• π²/9

Multiple Choice

• 1

• 2

• 3

• 4

Multiple Choice

• A

• B

• C

• D

Square/Square Root word problems​- EXAMPLE

STEP 1: Draw a picture

STEP 2: Know your facts

STEP 3: What is the question asking?

STEP 4: Set up how to find x

STEP 4: Plug the numbers into the equation and solve

STEP 4: Plug the numbers into the equation and solve

STEP 4: Plug the numbers into the equation and solve

​CFU

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​CFU

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​Square Root and Intervals- EXAMPLE

​Square Root and Intervals - STEP 1

• ​STEP 1: What the question is asking you? ​

• (If you are unsure, look at the answer choices for a hint)

​Square Root and Intervals - STEP 2

• ​STEP 2: Gather your facts​

• (find the square roots of the question and answer choices with your calculator)

approximate the square root

​Square Root and Intervals - STEP 3

• ​STEP 3: Check each answer choice

• ​List as True or False

approximate the square root

​Square Root and Intervals - STEP 4

• ​STEP 4: Eliminate each wrong answer and pick the best choice.

approximate the square root

​CFU

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​CFU

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Multiple Choice

The side length of square is 6.8 ft. What is the area of the square?

• 13.6ft²

• 27.2ft²

• 46.24ft²

Multiple Choice

The area of a square is 117 square meters. Which best represents the length of a side of the square? 

• 10.8 m
• 11 m
• 10 m
• 11.2 m

Multiple Choice

Which statement is true about  $$\sqrt[]{113}$$  

• It is grater than 9 but less than 10

• It is between  $$\sqrt[]{100}$$  and  $$\sqrt[]{121}$$  

• It is approximately 9.7

• It is greater than but less than 12

• I

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• Point N

• Point M

• Point P

• Point Q

Multiple Choice

Denise is filling a square sandbox for her brother. If the sandbox floor has an area of 14 square feet, about how long is on side of the sandbox?

• Between 3 ft and 3.5 ft

• Between 3.5 ft and 4 ft

• Between 4 ft and 4.5 ft

• Between 4.5 ft and 5 ft

Multiple Choice

A square has an areqa of 157 square centimeters. The length of the square's sides would be between...

• 11cm and 12cm

• 12cm and 13cm

• 13cm and 14cm

• 14cm and 15cm

​Scientific Notation  -  Example

​Scientific Notation  -  Step 1: the what?

​Scientific Notation  -  Step 3:move the decimal

​Scientific Notation  -  Step 3: count the move

​Scientific Notation  -  Step 3: count the move

​Scientific Notation  -  Step 4: pick the sign (+/-)

​Scientific Notation  -  Step 4: pick the sign (+/-)

​Scientific Notation  -  Step 5: write your answer

​CFU

​Write the scientific notation of the number 39400.

​CFU

Multiple Choice

Write 0.000972 in scientific notation.

• 9.72 x 10^-4
• 9.72 x 10^-3
• 972 x 10^-4
• 9.72 x 10⁴

Multiple Choice

Convert this number into scientific notation:

0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Fill in the Blanks

Convert this number to standard notation:

1.4 x 10^-2

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³
• 6.7 x10^-3
• 67 x 10²
• 67 x 10^-2

Multiple Choice

How do you write
8.317 x 10⁶
in standard form?

• 8, 371, 000
• 83, 170, 000
• 837, 100
• 8, 317, 000