Comparing and Ordering Rational vs. Irrational Numbers

What is the first step in comparing rational and irrational numbers?

• Memorize all irrational numbers

• Convert all numbers to decimals

• Estimate their values using a calculator

• Convert all numbers to fractions

Why is estimation important when calculators are not allowed?

• To precisely calculate the value

• To find the approximate value of numbers

• To guess the answer

• To memorize more numbers

What does a number being 'squished' next to a square root symbol indicate?

• Addition

• Division

• Subtraction

• Multiplication

What is the square root of 25?

• 7.5

• 5

• 10

• 2.5

What is the result of 2 times the square root of 25?

• 5

• 50

• 25

• 10

Between which two integers does the square root of 78 lie?

• 8 and 9

• 7 and 8

• 6 and 7

• 9 and 10

How can you simplify the square root of a non-perfect square?

• By finding its exact decimal value

• By estimating its value between two perfect squares

• By converting it to a fraction

• By memorizing its value

What is the approximate value of 3 pi?

• 9.62

• 9.14

• 9.42

• 8.85

What is the decimal value of 3/4?

• 0.50

• 0.25

• 0.75

• 0.85

Which of the following is the correct order from least to greatest?

• 0.73, 0.75, 0.72

• 0.72, 0.73, 0.75

• 0.75, 0.73, 0.72

• 0.73, 0.72, 0.75