Lesson 7.37.1–7.3 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 7.1–7.3 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 7.1–7.3: 7.1 Explore Integers and Their Opposites, 7.2 Represent Rational Numbers and Their Opposites on the Number Line, 7.3 Understand Absolute Value of Rational Numbers. Work one example from each lesson, then prove you're caught up in the mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| IntegerSpanish: Número entero | The counting numbers, their opposites, and 0. | ..., -3, -2, -1, 0, 1, 2, 3, ... |
| OppositeSpanish: Opuesto | A number that is the same distance from 0 as another number, but on the other side of 0. | −3 and 3 are opposites |
| Negative numberSpanish: Número negativo | A number less than 0, written with a − sign. On a number line it sits to the left of 0. | -86 meters means 86 meters BELOW sea level |
| Positive numberSpanish: Número positivo | A number greater than 0. On a number line it sits to the right of 0. | 9°C is 9 degrees ABOVE zero |
| Number lineSpanish: Recta numérica | A straight line where numbers are placed in order. It extends to the left of 0 to show values less than 0. | -3, -2, -1, 0, 1, 2, 3 marked in order from left to right |
| Rational numberSpanish: Número racional | A number that can be written as a fraction of two integers, with a bottom number that is not zero. | −3/4, 0.5, 7, −50 |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Find |−13| and |6|. Which number is farther from 0?
- −13 is 13 units left of 0, so |−13| = 13.
- 6 is 6 units right of 0, so |6| = 6.
- Compare the distances: 13 > 6.
Answer: −13 is farther from 0
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
What is the opposite of 15?
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The absolute value of is because it sits units from zero.
- and share the same absolute value because .
- An absolute value is never negative because .
- The number closer to zero is because its distance is .
Word bank absolute valuedistancemagnitudezeronumber lineoppositeunitscloserfarthernegativepositivesign
Watch out!A common mistake
A common mistake in Integers and Absolute Value is judging size by the digits alone instead of position on the number line
Lesson 7.37.1–7.3 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 7.1–7.3 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 7.1–7.3: 7.1 Explore Integers and Their Opposites, 7.2 Represent Rational Numbers and Their Opposites on the Number Line, 7.3 Understand Absolute Value of Rational Numbers. Work one example from each lesson, then prove you're caught up in the mixed practice.
-
1Complete each step, then write the final answer.
What is the opposite of 27?
Show your workHint Find the number 27 units from 0 on the other side.
Final answer: -
2Complete each step, then write the final answer.
A cave is 30 meters under the ground. The ground is 0. Write the cave's position as an integer.
Show your workHint Under the ground means less than 0. Use a − sign.
Final answer: -
3Complete each step, then write the final answer.
A point is halfway between −9 and −8. What number is it?
Show your workHint Halfway between 8 and 9 is 8.5. This point is left of 0.
Final answer: -
4Complete each step, then write the final answer.
The space from 0 to −1 has 4 equal parts. What number is 1 part to the left of 0?
Show your workHint Each part is 1/4. Left of 0 is negative.
Final answer: -
5Complete each step, then write the final answer.
Find |−16|.
Show your workHint Count the units from −16 to 0.
Final answer: -
6Complete each step, then write the final answer.
Find |10|.
Show your workHint 10 is to the right of 0. How far is it?
Final answer:
Explain your thinkingHow does the number line help you see the difference between an integer and its absolute value?
Sentence starter The integer ___ is located ___ units from zero, so its absolute value is ___. Even though ___ is negative, its distance from zero is still ___.