Calculate Total Distance: Adding 19.2 and 22.6 Kilometers in Two-Day Hike

Decimal Addition with Tenths Place Alignment

Gerard goes on a two-day hike.

On the first day, he walks 19.2 19.2 km and on the second day he walks 22.6 22.6 km.

How many kilometers does Gerard walk in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:11 We'll use long addition for calculation
00:21 Each time we'll calculate and substitute accordingly
00:32 We'll place the units and remember 1 above
00:40 We'll add 1 to this calculation
00:44 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Gerard goes on a two-day hike.

On the first day, he walks 19.2 19.2 km and on the second day he walks 22.6 22.6 km.

How many kilometers does Gerard walk in total?

2

Step-by-step solution

To calculate how many km Gerard walked in two days, we'll add up the number of kilometers he walked each day vertically as follows:

19.2+22.6 19.2\\+22.6

We'll add from left to right as follows:

41.8 41.8

3

Final Answer

41.8 41.8

Key Points to Remember

Essential concepts to master this topic
  • Rule: Line up decimal points vertically before adding numbers
  • Technique: Add 19.2 + 22.6 by aligning: 9.2 + 2.6 = 1.8
  • Check: Count decimal places: both have one, so answer has one ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up numbers by their last digits like 192 + 226 = 418! This treats decimals as whole numbers and gives a completely wrong answer. Always align the decimal points vertically before adding.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why do I need to line up the decimal points?

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Lining up decimal points ensures you're adding like place values! Tenths go with tenths, ones with ones. Without alignment, you'd be adding tenths to ones, which gives wrong results.

What if the decimals have different numbers of places?

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Add zeros to make them the same length! For example, 5.2 becomes 5.20 when adding to 3.75. This helps keep everything aligned properly.

How do I know where to put the decimal point in my answer?

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The decimal point in your answer goes in the same column as the decimal points you lined up! Count the places: if both numbers have one decimal place, your answer will too.

Can I add decimals without writing them vertically?

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Yes, but be extra careful! You can add horizontally like 19.2+22.6 19.2 + 22.6 , but make sure you're still adding corresponding place values correctly.

What if I get confused about carrying over with decimals?

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Carrying works the same way as with whole numbers! When tenths add up to 10 or more, carry 1 to the ones place. Practice with simpler examples first.

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