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Adding & Subtracting Decimals

In this lesson you’ll learn how to add and subtract decimals accurately by lining up decimal points, carrying/borrowing as needed, and handling money examples.

Adding and subtracting decimals works like whole numbers. Just line up the decimal points first. Add trailing zeros if needed to match the number of decimal places.

Example addition: 12.34+5.712.34 + 5.7

12.34+5.7018.04\begin{array}{rrrrr} & 1 & 2 & .3 & 4 \\ {+} & & 5 & .7 & 0 \\ \hline & 1 & 8 & .0 & 4 \end{array}

(Write 5.70 for alignment, then add column by column.)

Example subtraction: 9.503.279.50 - 3.27

9.503.276.23\begin{array}{rrrrr} & & 9 & .5 & 0 \\ {-} & & 3 & .2 & 7 \\ \hline & & 6 & .2 & 3 \end{array}

(Borrow across the decimal if needed, just like with whole numbers.)

Always place the decimal in the answer directly under the lined-up points.

Add 8.76+4.9+0.1258.76 + 4.9 + 0.125

  1. Line up decimals: 8.760+4.900+0.1258.760 + 4.900 + 0.125
  2. Add column by column: 13.78513.785

Subtract 15.427.68515.42 - 7.685

  1. Line up decimals: 15.4207.68515.420 - 7.685
  2. Borrow where needed → 7.7357.735

Adding decimals totals receipts or budgets (12.45 dollars + 8.99 dollars + 3.50 dollars). Subtracting finds change or remaining balance (50.00 dollars - 37.65 dollars = 12.35 dollars left). Gas fill-up costs or splitting bills use the same skill.

What is 6.78 + 4.2?
Subtract 12.35 - 7.89.
A purchase is 45.67 dollars plus 8.99 dollars tax. Total?
You have 100.00 dollars and spend 62.75 dollars. How much left?
Add 3.456 + 12.7.