🏰 Number Kingdom · Rounding
Round decimal values to tenths, hundredths, thousandths and other decimal places. In this lesson, focus on keep the requested number of digits after the decimal point.
Player progress
Level 1 · Apprentice0 / 100 XP
Learn · open now
Round decimal values to tenths, hundredths, thousandths and other decimal places. In this lesson, focus on keep the requested number of digits after the decimal point.
Keep the requested number of digits after the decimal point. The next digit is the decision digit: 0–4 keeps the final kept digit unchanged, while 5–9 increases it by one. For rounding to decimal places, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Rounding to decimal places: Keep the requested number of digits after the decimal point. Count digits after the decimal point and place the answer between its two neighbouring rounded decimals. Keep the rounding to decimal places representation visible until the final line.
Zoom into a decimal place-value chart and number line so the target interval and halfway point are visible. Use the model to explain one change you notice while working on rounding to decimal places.
Count digits after the decimal point and place the answer between its two neighbouring rounded decimals. Write that check beside the final rounding to decimal places answer.
Decision point = halfway between the two neighbouring rounded values.
Visual / interactive
Zoom into a decimal place-value chart and number line so the target interval and halfway point are visible. Use the model to explain one change you notice while working on rounding to decimal places.
Worked examples
Understand the idea with small numbers, one representation and one clear step.
Use the standard Year 8 method with mixed examples and normal wording.
Handle multi-step or less familiar questions and explain choices.
Solve a worded question, show reasoning, check accuracy and write a final sentence.
Given information: Rounding to decimal places — Round 3.242 to 1 decimal place. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The tenths digit is 2. The next digit is 4. Since 4 is less than 5, the tenths digit stays the same. Final answer: 3.2. Check: the answer has 1 decimal place.
Given information: Rounding to decimal places — Round 3.14141 to 2 decimal places. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The hundredths digit is 4. The next digit is 1. Since 1 is less than 5, the hundredths digit stays the same. Final answer: 3.14. Check: the answer has 2 decimal places.
Check: Replace unused places with zeros when rounding whole numbers.
Given information: Rounding to decimal places — Round 3.1397 to 1 decimal place. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The tenths digit is 1. The next digit is 3. Since 3 is less than 5, the tenths digit stays the same. Final answer: 3.1. Check: the answer has 1 decimal place.
Try explaining why each step works before checking the answer.
Given information: Rounding to decimal places — Round 3.1244 to 2 decimal places. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The hundredths digit is 2. The next digit is 4. Since 4 is less than 5, the hundredths digit stays the same. Final answer: 3.12. Check: the answer has 2 decimal places.
Count digits after the decimal point and place the answer between its two neighbouring rounded decimals. Write that check beside the final rounding to decimal places answer.
Create a rounding to decimal places problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
Practice · always open
Choose a difficulty, answer questions, ask for hints, see the method, retry, or generate a similar question. XP rewards accurate work and improved scores.
Year 8 practice studio
Foundation, secure, challenge and exam-style questions are available immediately with instant feedback.
Answer the questions, then check your score.
Games · always open
Use round drag controls to solve three checked rounding to decimal places rounds. Solve at least two of three marked rounds and use feedback to correct any error.
Press Start Game to enter a topic-specific maths arena.
Boss challenge
The boss is available when you feel ready. Boss victory badges and legendary status still require a strong pass.
Timed mixed-difficulty battle. Practice first if you want, or jump in and learn from feedback.
Study cards and flashcards · always open
Rounding to decimal places: Keep the requested number of digits after the decimal point. Count digits after the decimal point and place the answer between its two neighbouring rounded decimals. Keep the rounding to decimal places representation visible until the final line.
Tap to mark revieweddecimal place · tenths · hundredths · rounding digit · midpoint · rounding · decimal
Tap to mark reviewedUnderline the requested number of decimal places. Mark the final digit that will remain. Inspect the next digit only. Round the kept digit if needed, then preserve the requested decimal places. Record the check explicitly for rounding to decimal places.
Tap to mark reviewedDecision point = halfway between the two neighbouring rounded values.
Tap to mark reviewedGiven information: Rounding to decimal places — Round 3.242 to 1 decimal place. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The tenths digit is 2. The next digit is 4. Since 4 is less than 5, the tenths digit stays the same. Final answer: 3.2. Check: the answer has 1 decimal place.
Tap to mark reviewedGiven information: Rounding to decimal places — Round 3.14141 to 2 decimal places. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The hundredths digit is 4. The next digit is 1. Since 1 is less than 5, the hundredths digit stays the same. Final answer: 3.14. Check: the answer has 2 decimal places.
Tap to mark reviewedGiven information: Rounding to decimal places — Round 3.1397 to 1 decimal place. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The tenths digit is 1. The next digit is 3. Since 3 is less than 5, the tenths digit stays the same. Final answer: 3.1. Check: the answer has 1 decimal place.
Tap to mark reviewedGiven information: Rounding to decimal places — Round 3.1244 to 2 decimal places. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The hundredths digit is 2. The next digit is 4. Since 4 is less than 5, the hundredths digit stays the same. Final answer: 3.12. Check: the answer has 2 decimal places.
Tap to mark reviewedConfusing decimal places with significant figures. This is a key trap when answering rounding to decimal places questions.
Tap to mark reviewedFor rounding to decimal places, show the key representation before the final calculation. Use this final check: Count digits after the decimal point and place the answer between its two neighbouring rounded decimals.
Tap to mark reviewedMeasurements, Prices and calculator outputs
Tap to mark reviewedI can explain rounding to decimal places, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedI’m Stuck
Use this whenever a question feels confusing. Nothing here is locked.
Rounding to decimal places: Keep the requested number of digits after the decimal point. Count digits after the decimal point and place the answer between its two neighbouring rounded decimals. Keep the rounding to decimal places representation visible until the final line.
Think of rounding to decimal places as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Start by naming the given information and the exact result required for rounding to decimal places.
Underline the requested number of decimal places.
Given information: Rounding to decimal places — Round 3.242 to 1 decimal place. Method choice: keep the requested number of decimal places, then inspect the next digit. Calculation or reasoning: The tenths digit is 2. The next digit is 4. Since 4 is less than 5, the tenths digit stays the same. Final answer: 3.2. Check: the answer has 1 decimal place.
Method: Underline the requested number of decimal places. → Mark the final digit that will remain. → Inspect the next digit only. → Round the kept digit if needed, then preserve the requested decimal places. Record the check explicitly for rounding to decimal places.
Confusing decimal places with significant figures. This is a key trap when answering rounding to decimal places questions.
Mastery milestones