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Do and name the same rational number?

Class 7Rational NumbersRational Numbers
  • ANo — is positive while is negative
  • BYes — both are equal to
  • CYes — both are equal to
  • DNo — does not reduce to sevenths

Step-by-Step Solution

(the minus sign may sit on top or on the bottom). And divided by GCD 3 gives . So they are the same number. Reading as positive because the numerator 4 looks positive is the usual slip.
Answer: B) Yes — both are equal to

Key idea: Rationals on the number line

Every rational number has a place on the number line. Negative rationals on the left of 0, positive on the right. Between any two rationals, you can always find another rational (in fact, infinitely many) — this is called **density**.

Example: between 1/3 and 1/2, the average (1/3 + 1/2)/2 = 5/12 sits in the middle. Between 1/3 and 5/12 there's another rational, and so on, forever.

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Which statement about the rational number -4/5 is CORRECT?Which rational number must be added to 7/-15 so that the sum is 0?Arrange -4/5, -2/3 and -7/10 in DESCENDING order (greatest first).Which of these four rational numbers is the SMALLEST?Which symbol makes this true? -8/9 ___ -9/10