Numbers to Ten Million: Reading & Writing

Large numbers can feel abstract to Year 6 students, so active, hands-on experiences make place value concrete. Movement between stations, discussion with peers, and investigation tasks help students internalize the structure of numbers up to ten million through repeated exposure in varied contexts.

• Year 6
• Mathematics
• 3 activities
• 15 min–40 min

Learning Objectives

1. Identify the place value of each digit in numbers up to 10,000,000.
2. Write numbers up to 10,000,000 in numerals and in words.
3. Explain how the value of a digit changes when it is multiplied or divided by 10.
4. Compare and order numbers up to 10,000,000.
5. Create the largest possible number using a given set of distinct digits.

Stations Rotation

⏱ 40 min·Small Groups

Stations Rotation: The Rounding Challenge

Set up four stations with real world data, such as UK city populations or distances to planets. At each station, small groups must round the figures to the nearest 10,000, 100,000, and 1,000,000, then discuss which rounded figure is most useful for a news headline.

Prepare & details

Analyze how the value of a digit changes when it moves three places to the left.

Facilitation Tip: During Station Rotation: The Rounding Challenge, set a timer for each station so students move efficiently and stay focused on the rounding practice.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Think-Pair-Share

⏱ 15 min·Pairs

Think-Pair-Share: The Digit Shift

Give students a seven digit number and ask what happens to the total value if the digit in the millions place is swapped with the digit in the hundreds place. Students work individually to calculate the difference, compare their methods with a partner, and then share the most efficient mental strategy with the class.

Prepare & details

Differentiate between the value of a digit and its place in a number.

Setup: Standard classroom seating; students turn to a neighbor

Materials: Discussion prompt (projected or printed), Optional: recording sheet for pairs

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Inquiry Circle

⏱ 30 min·Small Groups

Inquiry Circle: Number Detectives

Provide groups with a set of clues about a mystery eight digit number, such as 'the digit in the ten thousands place is double the digit in the units place.' Groups must use a large place value grid to test their theories and prove their final answer to the rest of the class.

Prepare & details

Predict the largest possible number that can be made using seven distinct digits.

Setup: Groups at tables with access to source materials

Materials: Source material collection, Inquiry cycle worksheet, Question generation protocol, Findings presentation template

• Analyze
• Evaluate
• Create
• Self-Management
• Self-Awareness

Teaching This Topic

Teach this topic through repeated exposure to large numbers in multiple forms—spoken, written, and manipulated. Avoid relying solely on worksheets since the scale of ten million benefits from visual and kinesthetic reinforcement. Research shows that students grasp place value better when they physically shift digits and observe their changing value, so use manipulatives like place value sliders and digit cards before moving to abstract tasks.

What to Expect

Students will confidently identify the value of digits, write numbers correctly in words and numerals, and justify their rounding choices with reasoning. They will engage in collaborative talk, use tools like place value sliders, and explain how digit position changes a number's size.

Watch Out for These Misconceptions

Common Misconception

During Station Rotation: The Rounding Challenge, watch for students who add a zero to the end of a number to multiply by ten.

What to Teach Instead

Have students use a place value slider to move the digits one column left, then place a zero in the empty ones column to show why the digit value increases tenfold, not just adding a zero.

Common Misconception

During Think-Pair-Share: The Digit Shift, watch for students who think rounding to the nearest million always makes a number smaller.

What to Teach Instead

Provide number lines marked with millions and ask students to plot their number and the two nearest million benchmarks, then discuss which one is closer, even if it means rounding up.

Assessment Ideas

Quick Check

After Station Rotation: The Rounding Challenge, write the number 4,852,671 on the board and ask students to write on mini-whiteboards the value of the digit '8' and the place value of the digit '5'.

Exit Ticket

During Collaborative Investigation: Number Detectives, give each student a card with a number like 5,000,000 or 2,000,000. Ask them to write the number in words and then identify the largest possible number they could create using three distinct digits from their number before collecting the cards.

Discussion Prompt

During Think-Pair-Share: The Digit Shift, pose the question: 'If you move the digit '3' from the ten-thousands place to the millions place, how many times larger does its value become?' Circulate and listen for explanations that reference place value shifts.

Extensions & Scaffolding

• Challenge: Ask students to create a six-digit number using all digits 1–6 exactly once, then round it to the nearest hundred thousand and explain their reasoning.
• Scaffolding: Provide a partially filled place value chart for students to complete before rounding, focusing on the millions and hundred-thousands columns.
• Deeper: Have students research real-world contexts where numbers around ten million appear (e.g., population data) and present how they would read and round one example.

Key Vocabulary

Place Value	The value of a digit based on its position within a number. For example, in 5,234, the digit '2' is in the hundreds place and has a value of 200.
Digit	A single symbol used to write numbers. The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Millions	The place value representing one thousand thousands. Numbers in this range go from 1,000,000 to 9,999,999.
Ten Millions	The place value representing ten million. Numbers up to 10,000,000 include this highest place value.