Understanding Rational Numbers

Front

What is the sum of a number and its opposite?

Back

Zero (they are additive inverses).

Front

How can you represent p + q on a number line?

Back

As the number located a distance |q| from p, in the positive or negative direction.

Front

What does p - q represent in terms of addition?

Back

p - q = p + (-q) (adding the additive inverse).

Front

What is the distance between two rational numbers on a number line?

Back

The absolute value of their difference.

Front

What properties can be applied to add and subtract rational numbers?

Back

Commutative and associative properties, and part-whole reasoning.

Front

What is the result of dividing integers?

Back

Every quotient of integers is a rational number, assuming the divisor is not zero.

Front

How can multiplication of rational numbers be understood?

Back

Using relevant mathematical problems.

Front

What properties can be applied to multiply and divide rational numbers?

Back

Distributive, commutative, and associative properties.

Front

How can rational numbers be converted between forms?

Back

Using the understanding of part divided by whole (fractions, decimals, percentages).

Front

What should you assess when solving multi-step problems with rational numbers?

Back

The reasonableness of answers using mental computation and estimation strategies.