Calculate Total Distance: Adding 3.4, 1.18, and 2.6 Kilometers in Running Training

Q: What does "round trip" mean in math problems?

A round trip means going somewhere and coming back! So if Damian ran 1.18 km round trip, he actually covered double that distance: $ 2 \times 1.18 = 2.36 $ km total.

Q: Why do I multiply first before adding the other distances?

Follow the order of operations! You must handle multiplication before addition. So calculate $ 2 \times 1.18 = 2.36 $ first, then add: $ 3.4 + 2.36 + 2.6 $.

Q: Can I add the decimals in any order?

Yes! Addition is commutative, so you can rearrange to make it easier. For example: $ 3.4 + 2.6 + 2.36 $ lets you add $ 3.4 + 2.6 = 6 $ first, then $ 6 + 2.36 = 8.36 $.

Decimal Addition with Hidden Multiplication

Damian is training for a race.

The first day he ran 3.4 km..

The second day he ran round trip for 1.18 km..

On the third day Damian ran 2.6 km...

How many kilometers in total did Damian run during the three days of training?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Damian is training for a race.

The first day he ran 3.4 km..

The second day he ran round trip for 1.18 km..

On the third day Damian ran 2.6 km...

How many kilometers in total did Damian run during the three days of training?

Step-by-step solution

Let's consider the number of kilometers Damian ran each day

On the second day it is written "round trip", that is, twice.

Therefore, we write the following exercise:

$3.4+2\times1.18+2.6=$

We solve the multiplication exercise:

$3.4+2.36+2.6=$

We arrange the exercise using the commutative property, to make it more convenient to solve:

$3.4+2.6+2.36=$

We solve the exercise from left to right:

$3.4+2.6=6$

$6+2.36=8.36$

Final Answer

8.36

Key Points to Remember

Essential concepts to master this topic

Language Clue: "Round trip" means multiply that distance by 2
Order: First multiply 2 × 1.18 = 2.36, then add all distances
Check: Final sum 8.36 km should be larger than any single day ✓

Common Mistakes

Avoid these frequent errors

Adding 1.18 km directly without doubling for round trip
Don't just add 3.4 + 1.18 + 2.6 = 7.18 km! "Round trip" means Damian ran 1.18 km twice (there and back), so it's actually 2.36 km total for day two. Always read the problem carefully and double distances for round trips.

Practice Quiz

Test your knowledge with interactive questions

$74+32+6+4+4=\text{?}$

FAQ

Everything you need to know about this question

What does "round trip" mean in math problems?

A round trip means going somewhere and coming back! So if Damian ran 1.18 km round trip, he actually covered double that distance: $2 \times 1.18 = 2.36$ km total.

Why do I multiply first before adding the other distances?

Follow the order of operations! You must handle multiplication before addition. So calculate $2 \times 1.18 = 2.36$ first, then add: $3.4 + 2.36 + 2.6$ .

Can I add the decimals in any order?

Yes! Addition is commutative, so you can rearrange to make it easier. For example: $3.4 + 2.6 + 2.36$ lets you add $3.4 + 2.6 = 6$ first, then $6 + 2.36 = 8.36$ .

How can I check if 8.36 km is reasonable?

Look at the individual days: 3.4, 2.36 (doubled), and 2.6 km. The total should be larger than the biggest single day but not ridiculously huge. 8.36 km makes sense!

What if I forgot to double the round trip distance?

You'd get 7.18 km instead of 8.36 km - that's a big difference! Always reread the problem and look for key phrases like "round trip," "there and back," or "both ways."

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