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Y.3 Add and subtract decimals: word problems

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Add and subtract decimals: word problems

Decimals are numbers that include a decimal point to show parts of a whole. When you add or subtract decimals, you are combining or comparing parts of numbers, just like with whole numbers—but you must keep the decimal points lined up.

Example:
38.42
+ 21.58
60.00
Note

Always line up the decimal points before adding or subtracting. You can add zeros so the numbers have the same number of decimal places.

How to solve decimal word problems

Word problems show how decimals are used in real-life situations. Read carefully to decide what the problem is asking and whether you need to add or subtract to find the answer.

Steps:
  • Step 1: Read the problem and underline the important information.
  • Step 2: Decide if the situation involves combining (addition) or comparing (subtraction).
  • Step 3: Line up the decimal points and solve carefully.
  • Step 4: Check that your answer makes sense in the context of the problem.
Note

Think about what’s happening in the story. If you’re putting things together, add. If you’re finding the difference, subtract.

Adding decimals in word problems

You add decimals when combining measurements, money amounts, or totals. Adding decimals helps you find the whole amount when parts are joined together.

Example:

Sara bought a notebook for $3.25 and a pen for $1.75. How much did she spend in all?

3.25
+ 1.75
5.00

She spent $5.00 in total.

Note

When adding money or measurements, make sure all values are written with the same number of decimal places before you solve.

Subtracting decimals in word problems

You subtract decimals to find how much is left, how much more is needed, or the difference between two measurements or amounts.

Example:

Alex had $20.00. He spent $12.45 on lunch. How much money does he have left?

20.00
− 12.45
7.55

Alex has $7.55 left.

Note

Make sure each digit is in the correct place value column (ones, tenths, hundredths). Add zeros if needed before subtracting.

Real-world examples of decimal word problems

Decimals appear in many real-life situations such as money, distance, weight, and time. Practicing these helps you understand how decimals are used every day.

Examples:
  • Money: A game costs $19.99 and a controller costs $24.50. How much is the total? (Add)
  • Measurement: A board is 4.75 ft long. You need a piece 2.25 ft shorter. What is the new length? (Subtract)
  • Weight: A watermelon weighs 6.8 lb and a cantaloupe weighs 3.25 lb. What is their total weight? (Add)
Note

Check your answers by estimating first. If your final answer is close to your estimate, it is likely correct.