Ordering Rational Numbers: Key Concepts and Techniques

What is a rational number?

• A number that only has non-repeating decimals

• A number that cannot be expressed as a fraction

• A number that is always positive

• A number that can be expressed as the quotient of two integers

Which place value is directly to the right of the tenths place in a decimal?

• Units

• Hundredths

• Thousandths

• Tens

In ordering decimals, if two numbers have the same value in the tenths and hundredths place, which place do you check next?

• Units place

• Tens place

• Thousandths place

• Ten-thousandths place

Which of the following numbers is closest to zero on a number line?

• -6.0

• -6.807

• -6.8

• -6.08

How can you make different fractions comparable?

• By multiplying them

• By adding them

• By converting them to decimals

• By finding a common denominator

What is 1/4 expressed as a decimal?

• 0.20

• 0.25

• 0.15

• 0.30

Which fraction is equivalent to two-fifths when the denominator is 10?

• 4/10

• 2/10

• 5/10

• 1/10

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

• 0.55, 0.256, 0.6

• 0.256, 0.55, 0.6

• 0.55, 0.6, 0.256

• 0.6, 0.55, 0.256

What is the decimal equivalent of three-fourths?

• 0.75

• 0.50

• 0.35

• 0.25

Which of the following is the best strategy to understand fractions and decimals?

• Only practicing with whole numbers

• Guessing the values

• Avoiding negative numbers

• Memorizing common fractions and their decimal equivalents