Mental Math · Decimals · Add

Add decimals.

Adding decimals is just adding in parts, with the decimal point as a guide. Line up the points, add the whole-number parts, add the decimal parts, and combine — exactly the left-to-right habit, now with a point.

01 / THE METHOD

How to think about it.

Watch the method

Line up and add

3.4 + 2.8: add the wholes (3 + 2 = 5), add the decimals (0.4 + 0.8 = 1.2), then combine: 5 + 1.2 = 6.2.

1 / 3
3.4+2.83.4 + 2.8 = ?
1
3+2=53 + 2 = 5

Add the whole-number parts.

2
0.4+0.8=1.20.4 + 0.8 = 1.2

Add the decimal parts.

3
5+1.2=6.25 + 1.2 = 6.2

Put them together.

02 / YOUR TURN

Practice until it feels easy.

Your turn

Solve it in your head.

Use the method, then check. Stuck? Reveal the steps.

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— / WHY IT WORKS

The idea underneath.

The point keeps the columns honest

A decimal number is whole + tenths + hundredths. Add each column to its match. Lining up the points guarantees tenths add to tenths, not to whole numbers.

Why it works

3.4 is 3 wholes and 4 tenths — add the wholes and the tenths separately, like dollars and dimes.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

5.6 + 1.3

1

Wholes

5 + 1 = 6.

2

Decimals

0.6 + 0.3 = 0.9.

3

Combine

6 + 0.9 = 6.9.

EX 2medium

3.4 + 2.8

1

Wholes

3 + 2 = 5.

2

Decimals

0.4 + 0.8 = 1.2.

3

Combine

5 + 1.2 = 6.2.

EX 3hard

12.5 + 3.7

1

Wholes

12 + 3 = 15.

2

Decimals

0.5 + 0.7 = 1.2.

3

Combine

15 + 1.2 = 16.2.

04 / COMMON TRAPS

Where students slip.

Trap

Ignoring the point and adding 34 + 28.

Fix

Keep the place values: 3.4 + 2.8 = 6.2, not 62. The point can't be dropped.

Trap

Forgetting to carry when decimals exceed 1.

Fix

0.4 + 0.8 = 1.2 — that extra whole carries into the units: 5 + 1.2 = 6.2.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

3.4 + 2.8 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
C2

5.6 + 1.3 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
C3

2.7 + 4.5 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
C4

0.8 + 0.6 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
Apply

Apply (4)

A1

12.5 + 3.7 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
A2

6.4 + 1.9 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
A3

4.8 + 5.6 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
A4

9.3 + 0.9 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
Extension

Extension (4)

E1

13.6 + 8.7 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
E2

7.5 + 2.5 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
E3

24.8 + 15.6 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.
E4

7.4 + 2.9 = ?

Need a hint?
  • Line up the decimal points.
  • Add the whole parts and the decimal parts separately.