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Isabella, Martina, and mateo are scuba diving. Isabella starts he dive on the deck of a baot 2 meters above sea level. She dives down 10 meters from her starting position. How many meters below sea level is Isabella?
+2 ( Above) - Use a positive number for a position above sea level.
_ (Down) Use a negative number for a position below sea level.

Martina is swimming at 4 meters below sea level. She swims up 3 meters and then dives down 5 meters. Then she dives down 3 more meters. How many meters below sea level is Martina?

-4 (Below) - (-4) + (3) + (-5) + (-3)
_ (Up) - 3 + [(-4) + (-5) + (-3)]
-5 (Down) - 3 + ( _ ) = _
_ (Down)

This tells me that she's going to end up at 9 meters below sea level.

1 answer

Let's fill in the blanks step by step for Isabella and Martina's dives.

For Isabella:

  • She starts at +2 meters (above sea level) and dives down 10 meters.
  • Calculation: \(2 + (-10) = 2 - 10 = -8\)

So, Isabella is 8 meters below sea level.

Now for Martina:

  • She starts at -4 meters (below sea level) and swims up 3 meters first.
  • Calculation: \(-4 + 3 = -1\) meters (now at 1 meter below sea level).
  • Then, she dives down 5 meters.
  • Calculation: \(-1 + (-5) = -1 - 5 = -6\) meters (now at 6 meters below sea level).
  • Next, she dives down 3 more meters.
  • Calculation: \(-6 + (-3) = -6 - 3 = -9\) meters.

So, Martina is 9 meters below sea level.

Now completing the statements:

  1. Isabella's position is -8 (Below).
  2. Martina's position is -9 (Below).

Final answers:

  • Isabella: -8 (Below)
  • Martina: -9 (Below)

This tells me that she's going to end up at 9 meters below sea level.