Real Numbers

Topic 1 Real Numbers Review

Compare and Order Rational and Irrational Numbers


How can you compare and order rational and irrational numbers?

Classify the real numbers

• -15

• 2/3
  

• 3.14159...

• 738

• 0

Multiple Select

Check all that apply: Classify the real number, -18

• Irrational

• Rational

• Integer

• Whole

• Natural

Multiple Select

Check all that apply: Classify the real number,

$$\sqrt{20}$$  

• Irrational

• Rational

• Integer

• Whole

• Natural

Reorder

When rounding decimals, what is the most appropriate process?

• Locate your place

• Look next door (to the right)

• 5 or more, just add 1 more

• 4 or less, just let the digit rest

• All digits in front stay the same, all digits behind, become 0.

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Which two whole numbers would $$\sqrt[]{20}$$ fall in between?

• 6 and 7

• 4 and 5

• 3 and 4

• 5 and 6

Fill in the Blanks

Round $\sqrt[]{20}$ to the nearest tenth:

Multiple Select

Check all that apply: Classify the real number, 0

• Irrational

• Rational

• Integer

• Whole

• Natural

Multiple Select

Check all that apply: Classify the real number, -1/3

• Irrational

• Rational

• Integer

• Whole

• Natural

Fill in the Blanks

Round $\frac{1}{3}$ to the nearest hundredth place.

Multiple Select

Check all that apply: Classify the real number,

$$-2\pi$$  

• Irrational

• Rational

• Integer

• Whole

• Natural

Converting between decimals, fractions, and percents

• D --> F, place value of last digit is the denominator

• F --> D, divide numerator by denominator

Fill in the Blanks

Write the fraction as a decimal:

$\frac{2}{5}$  

Fill in the Blanks

Write the decimal as a simplified fraction: 0.45

Multiple Select

Choose the decimals that are considered rational numbers:

• $$0.\overline{4}$$

• .65

• 5.3

• .1236789...

• .007

The NINE TRICK

• Repeating decimals: how many unique digits are repeating?... that tells you how many 9's to put in denominator

• Numerator: use the repeating digits

Fill in the Blanks

Write the repeating decimals as a fraction:

$0.\overline{4}$  

Fill in the Blanks

Write the repeating decimal as a fraction:

$0.\overline{35}$  

Convert between fractions and percents

• A percent is out of 100, then simplify

• Fraction to percent: see picture

Converting Decimals and Percents

• D--> P: move decimal left 2 times

• P --> D: move decimal right 2 times

Multiple Select

Check all that are equal to 85%

• 0.85

• 8.5

• 85/100

• 17/20

Multiple Select

Check the 2 values that are equal to 1.7

• 17%

• 170%

• 17/10

• 17/100

Fill in the Blanks

Write 175% as a decimal:

Fill in the Blanks

Write 0.05 as a percent