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A submarine is at -40 m. It sinks 25 m. Where is it now?

Step by step, with the reason for every step · Negative numbers in real life · Foundations

Step by step

The question

Question: A submarine is at −40 m.

It sinks 25 m.

Where is it now?

1 Write it as a sum

We start at −40.

Sinks means down: take away 25.

−40 − 25

Sea level is 0.

Below it is negative.

−40 m: 40 m below sea level
sinks 25 → − 25

2 Work it out

Start at −40.

Go down 25.

Careful!

We start at −40, not at 40.

Keep the minus sign.

Careful: not 40 − 25 = 15 ✗

We land on −65 m.

= −65 m

So the answer is −65 m: 65 meters below sea level.

3 Check

Let's check: go back.

−65 plus 25 is −40, where we started.

So the answer is right!

−65 + 25 = −40

Let's look back.

First: write it as a sum.

Then: work it out.

Last: check.

Answer
= −65 m

Your turn

Try this one yourself, then check:

Show the answer
−69 m

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