Learning Goal
Part of: Apply and extend previous understandings of numbers to the system of rational numbers — 3 of 4 cluster items
Understand ordering and absolute value of rational numbers
**6.NS.C.7**: Understand ordering and absolute value of rational numbers.
**a.** Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret −3 > −7 as a statement that −3 is located to the right of −7 on a number line oriented from left to right.
**b.** Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write −3°C > −7°C to express the fact that −3°C is warmer than −7°C.
**c.** Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of −30 dollars, write |−30| = 30 to describe the size of the debt in dollars.
**d.** Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than −30 dollars represents a debt greater than 30 dollars.
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6.NS.C.7: Understand ordering and absolute value of rational numbers.
a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret −3 > −7 as a statement that −3 is located to the right of −7 on a number line oriented from left to right.
b. Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write −3°C > −7°C to express the fact that −3°C is warmer than −7°C.
c. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of −30 dollars, write |−30| = 30 to describe the size of the debt in dollars.
d. Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than −30 dollars represents a debt greater than 30 dollars.
What you'll learn
- Interpret an inequality statement about two rational numbers as a statement about their positions on a number line (the number to the left is always less than the number to the right)
- Write, interpret, and explain inequality statements for rational numbers in real-world contexts (e.g., compare two temperatures using < or >)
- Define absolute value as the distance of a number from 0 on the number line; interpret |−30| = 30 as meaning the magnitude of the quantity is 30 regardless of direction
- Distinguish between comparing absolute values (magnitudes) and comparing the numbers themselves — recognize that a number can be less than another while having a greater absolute value
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises