Illustrative Mathematics Rational Numbers

What is the result of multiplying -3/4 by 5/6?

• 1/2

• -5/8

• 3/20

• -15/24

If a temperature drops by 5 degrees Celsius, how would you represent this change using rational numbers?

• -5

• 1

• 0

• 5

If a submarine descends 300 meters below sea level, how would you represent this using rational numbers?

• 300

• 0

• -300

• 3/10

If a plane ascends 1000 meters above sea level, how would you represent this using rational numbers?

• 1000

• 0

• -1000

• 1/10

Rational numbers include any number that can be written as a ratio (or _______).

• fraction

• square root

• real number

Rational numbers are ........

• only positive and negative whole numbers.

• numbers that can be written in the form of a fraction.

Answer explanation

Rational numbers can always be written as a __________.

• fraction

• decimal

• negative number

• whole number

Express an integer:

A debt of $50

• 50

• -50

Fractions and decimals can be positive or negative, but they are not integers. They are called ______ numbers.

A rational number is a number that can be in the form p/q ___.

• where p and q are integers and q is non-zero

• where p and q are integers

• where p and q are counting numbers

• where p and q are whole numbers and q is non-zero