Distinguish comparisons of absolute value from statements about order.
The Number System
- Apply and extend previous understandings of numbers to the system of rational numbers.
Understand ordering and absolute value of rational numbers.
Distinguish comparisons of absolute value from statements about order.
The Number System
Understand ordering and absolute value of rational numbers.
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Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If π and π are integers then β(π/π) = (βπ)/π = π/(βπ). Interpret quotients of rational numbers by describing real-world contexts.
Describe situations in which opposite quantities combine to make 0.
Understand π± + π² as the number located a distance |π²| from π±, in the positive or negative direction depending on whether π² is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If π± and π² are integers, then β(π±/π²) = (βπ±)/π² = π±/(βπ²). Interpret quotients of rational numbers by describing real-world contexts.
Understand π + π as the number located a distance |π| from π, in the positive or negative direction depending on whether π is positive or negative. Interpret sums of rational numbers by describing real world contexts.
Distinguish comparisons of absolute value from statements about order.
Distinguish comparisons of absolute value from statements about order.
Distinguish comparisons of absolute value from statements about order.
Distinguish comparisons of absolute value from statements about order.
Distinguish comparisons of absolute value from statements about order.