The Other Side of Zero: common misconceptions

If your child says… “Zero doesn't count as an integer.”

Ask together

Which integer labels the middle stair?

What’s true

Zero belongs with the integers even though it is neither positive nor negative.

If your child says… “Two equal movements always cancel.”

Ask together

Would another move right bring you back to zero?

What’s true

Equal movements cancel only when their directions oppose each other.

If your child says… “Minus two is greater because two is bigger.”

Ask together

Which number sits farther right: −1 or −2?

What’s true

Among negative integers, the number closer to zero is greater.

If your child says… “Subtracting a negative makes the answer smaller.”

Ask together

From minus one, must you move up or down to reach plus one?

What’s true

Subtracting a negative increases the starting value.

If your child says… “The movement is three; direction doesn't matter.”

Ask together

Would moving three spaces right reach the same place?

What’s true

Rightward movement is positive, while leftward movement is negative.

If your child says… “Adding a zero pair increases the total.”

Ask together

What do the two enclosed tokens add to?

What’s true

An opposite pair adds tokens but adds no value.

If your child says… “The change must be positive because money remains.”

Ask together

Will taking coins out increase or decrease the amount?

What’s true

A decrease is a negative change even when the remaining amount is positive.

If your child says… “I can ignore the minus signs when adding.”

Ask together

Does adding minus one undo adding one, or add another one?

What’s true

A minus sign belongs to its number and changes what that number contributes.