- A
- B
- C
- D
Step-by-Step Solution
Rising means adding: metres — still below sea level, so the answer must stay negative. Subtracting instead gives , and writing as by mistake gives .
Answer: B)
A submarine is at metres with respect to sea level. It then rises metres. What is its new position?
Class 7Rational NumbersRational Numbers
Key idea: Comparing rationals
**Step 1**: write both in standard form (positive denominators).
**Step 2**: bring to a common denominator (the LCM of the two denominators).
**Step 3**: compare the numerators with their signs.
Example: compare −3/4 and −5/6. Common denominator = 12. −3/4 = −9/12; −5/6 = −10/12. With negatives, the smaller numerator is the smaller value. −10 < −9, so −5/6 < −3/4.
**Step 2**: bring to a common denominator (the LCM of the two denominators).
**Step 3**: compare the numerators with their signs.
Example: compare −3/4 and −5/6. Common denominator = 12. −3/4 = −9/12; −5/6 = −10/12. With negatives, the smaller numerator is the smaller value. −10 < −9, so −5/6 < −3/4.
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