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Decimal Place Value Operations

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Decimal Place Value Operations

Help a community fun-run team check distances, times and costs. Show your working for calculations. When adding or subtracting, line up the decimal points.

Decode and order decimals

Read decimal numbers carefully: each place to the right of the decimal point is ten times smaller than the place before it.

1.In 24.73 km, what is the value of the digit 7?

7 km
0.7 km
0.07 km
70 km

2.A course sign says the final stretch is five and thirty-six hundredths of a kilometre. Write this distance as a decimal.

3.Order these course lengths from shortest to longest: 3.45 km, 3.4 km, 3.54 km and 3.05 km.

4.A checkpoint must be more than 2.3 km from the start and less than 2.5 km away. Which distance works: 2.03 km, 2.31 km, 2.50 km or 2.7 km?

2.03 km
2.31 km
2.50 km
2.7 km

Calculate and check

Use sensible estimates to catch mistakes before they reach the results board.

5.Two marked sections of the fun-run course are 4.67 km and 3.28 km long. Estimate their total by rounding each distance to the nearest whole kilometre, then calculate the exact total.

6.A water tank holds 8.5 L. After the first group fills their bottles, 2.37 L remains. How many litres did they use?

7.One runner completes a short course in 12.45 seconds. Another runner is 0.78 seconds faster. What is the second runner’s time?

8.A volunteer buys a snack for $12.75 and a drink for $3.40 at the event stall. They pay with a $20 note. How much change should they receive?

9.A volunteer adds 15.6 + 8.2 and records 237.8. Is this answer reasonable? State the correct total and explain the place-value mistake.

10.The course is 10 km long. The team has already completed 6.78 km. How much farther must they travel? Show the subtraction, including a zero placeholder if it helps.