Absolute value and opposite integers

The opposite of a number is its mirror image across zero: 8 becomes −8, and −50 becomes 50. Absolute value only asks how far from zero, so the answer is never negative. Children mix the two because both can turn −40 into 40.

The first half drops signs, including |0| = 0; the second half flips them, including the opposite of 0, which is still 0. Keeping the halves apart lets your child feel the difference before naming it.

6.NS.C.7.c covers absolute value as distance from 0, and 6.NS.C.6.a covers opposite signs as opposite sides of 0, with the opposite of the opposite bringing you back.

Try this exchange at the table. You: "What is the opposite of 39?" Your child: "Negative 39." You: "And its absolute value?" Most children pause here, and the pause is the lesson.

Question 12 is the one to watch: the opposite of −1. A child still in absolute-value mode writes 1 for a half-right reason. Ask, "Did you flip it or drop the sign? Why do both give 1 here?"

Question 14 prints 3,250 with a stray space after the comma; read it as one number, three thousand two hundred fifty. The answers on page 2 match every box.

The next time you play Uno, pause on a Reverse card and ask what a second Reverse would do. Play goes back the way it started, just like the opposite of −8 being 8 again.

On the stairs at home, count steps down to the basement as negatives and steps up as positives, then name the opposite of each landing. In the car, a sign for a parking level below ground gives one more number to flip.

Credit the checking out loud: "You asked flip or drop before every answer." Next in the series, comparing integers puts these signs on the number line.