Rational Numbers
Is 3/4 a rational number?
Yes — it’s a fraction that can be written as a ratio of two integers.
The temperature dropped 8°F, then rose 3°F. What’s the change?
–5°F
|–6| =
6
(+5) + (–8) =
-3
(+6) × (+3) =
+18
(+3.7) + (+4.6) =
+8.3
A diver descends 12 meters below sea level, then rises 5 meters. Where is the diver now?
–7 meters
|–5| + |–5|
10
(–7) + (–6) =
–13
(–8) × (+4) =
-32
is 8/0 a rational number?
No
You owe $24 and pay back $10. How much do you still owe?
–14
|–5| + (+3) =
8
(+9) – (–4) =
+13
(–12) ÷ (–3) =
+4
(–12.5) + (–4.2) =
–16.7
A hiker starts at –5 feet , climbs up 8feet, then descends 2 feet.
What is the hiker’s final elevation?
1 foot
| (+8) + (-12) |
+4
(–12) – (+5) =
-17
(–8) × (12) =
96
(–11.3) + (–3.7) =
–15.0
A submarine is –200 feet below sea level. It rises 150 feet, then drops 75 feet.
What is its final depth?
-125 feet
| (-12) - (-10) |
+2
(–10) + (+3) – (–2) =
-5
(–6) × (–2) × (–3) =
–36