Primary 3 Maths | Five-Digit Numbers: a Tutor Prep Guide | Place value, reading with zeros, expanded form, comparing and rounding

2026-11-10

Tutor lesson-prep guides · Primary Maths

Students copy 34,506 correctly, then stumble when reading it aloud: the middle zero must be said as zero, and many skip it, turning the number into something quite different.

Objectives — By the end the student can: (1) place 34,506 on a place value table and state the value of each digit, with 3 in the ten thousands worth 30000; (2) write the expanded form 3 times 10000 plus 4 times 1000 plus 5 times 100 plus 0 times 10 plus 6; (3) compare 34,506 with 34,560 from the highest place and state the difference of 54; (4) round 34,506 to the nearest thousand as 35,000 and explain that the hundreds digit 5 caused the round up.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill	Quick check	Pass mark
Four-digit numbers	Read 4,305 and name the thousands digit	4, worth 4000
Place value	How many times bigger is 5 in the tens than in the hundreds	Ten times smaller, not bigger
Comparison signs	When do you use the greater than sign	When the left side is larger; the open side faces it

02 Lesson flow (45 minutes)

Time	Stage	Tutor does	Student does
0-5 min	Read check	Show 34,506 and ask the student to read it	Reading the zero counts as correct
5-15 min	Place value table	Draw five columns, fill and state each value	All five columns with the ten thousands value
15-25 min	Expanded form	Split 34,506 into five products added	Include the 0 times 10 term
25-33 min	Compare	Compare 34,506 with 34,560 place by place	Say that equal high digits mean look lower
33-40 min	Round	Round 34,506 to the nearest thousand	Say the hundreds 5 forces a round up
40-45 min	Exit check	Mark three questions at once	Work independently

03 Teaching script (read it out)

Scene 1: The place value table names every column

Draw five columns, labelled ones, tens, hundreds, thousands and ten thousands from the right. Fill 34,506: 3, 4, 5, 0, 6.
Make the student say that 3 sits in the ten thousands column and is worth 30000, not just 3. The same digit in another column is worth ten times more or less, and that idea carries the whole chapter.
Read left to right: thirty-four thousand five hundred and six. The middle zero must be spoken, because it occupies a column; skip it and a whole place disappears.

Student should do: draw the table, fill 34,506, and state each value and the reading.

Scene 2: Expanded form turns place value into multiplication

The expanded form is the table written as arithmetic: 3 times 10000 plus 4 times 1000 plus 5 times 100 plus 0 times 10 plus 6.
The term students drop is 0 times 10. Without it there are only four terms, the columns no longer line up, and later addition goes wrong.
The check is trivial: add all the terms and you must return to 34,506. If it adds back, the form is right.

Student should do: write the expanded form and add it back to verify.

Scene 3: Comparing and rounding start from the highest place

Compare digit by digit from the left: 34,506 against 34,560 gives equal ten thousands, thousands and hundreds, then tens 0 against 6, so the second is larger by 54.
To round to the nearest thousand, look at the hundreds: 34,506 has 5, so round up; the thousands digit goes from 4 to 5 and the last three digits become zero, giving 35,000.
Remind them that rounding to thousands must end in three zeros; an answer like 34,500 means they rounded to hundreds.

Student should do: compare a pair with a reason, then round once to the nearest thousand.

04 Question types and worked steps

Type	Example	Steps	Answer
Read and write	Read and write 34,506	Read from the left, say the middle zero	Thirty-four thousand five hundred and six
Expanded form	Expand 34,506	Each digit times its value, including 0 times 10	3 times 10000 plus 4 times 1000 plus 5 times 100 plus 0 times 10 plus 6
Compare	Which is larger, 34,506 or 34,560	Compare from the left, then move right	34,560, by 54
Round	Round 34,506 to the nearest thousand	Look at the hundreds; 5 or more rounds up	35,000

Sanity check (teach this): Sanity check: a five-digit expanded form always has five terms, so four means a column was dropped, usually 0 times 10; the terms must add back to the original number; numbers can only be compared digit by digit when they have the same number of digits, otherwise more digits means larger; rounding to thousands must end in three zeros, and 34,500 shows the wrong place was read; the exit check allows 300 seconds for three questions at Primary 3.

05 Independent practice (3 questions)

Question	Answer	What to watch
Read and write	Write the numeral for twenty thousand and seventy	20,070, with the middle zero
Expanded form	Expand 50,304	5 times 10000 plus 0 times 1000 plus 3 times 100 plus 0 times 10 plus 4
Compare	Which is larger, 19,999 or 20,001	20,001, since the ten thousands digit 2 beats 1
Round	Round 28,450 to the nearest thousand	28,000, because the hundreds digit is 4

06 Common mistakes and what to say

Mistake	Student writes	Say this
Skipping the middle zero	34,506 read as thirty-four thousand five hundred six	There is a zero in the tens column and it is read. Skip it and the number changes.
Dropping 0 times 10	Only four terms written	A five-digit number needs five terms. The tens column is zero and still needs 0 times 10.
Comparing from the right	The tens digit 6 makes it larger	Start at the highest place; only drop down when the higher digits tie.
Rounding from the wrong column	Rounding to thousands but reading the tens	To round to thousands, look at the very next digit on the right, the hundreds. What is it?

07 Homework (paper, section and question numbers)

Primary maths chapter index — All chapters by level
Teaching guide index — Same structure, other subjects
Redo this chapter — Questions 1 to 4 again, with place values written

08 Exit check (last 5 minutes)

Question	Answer	Decision
What is the tens digit of 34,506	0, and it is read aloud	Answering 6 means the column was misread; reteach act one
How many terms has the expanded form	Five, including 0 times 10	Four means act two again
Round 34,506 to the nearest thousand	35,000	Answering 34,500 means hundreds were used; reteach act three

09 Tutor FAQ

Should place value go up to hundred millions?

At Primary 3 five digits is enough. Too many columns turn into names to memorise instead of values to understand.

Is a middle zero read the same as a trailing zero?

No. A middle zero is spoken, a trailing zero usually is not, so 34,500 is thirty-four thousand five hundred. The table makes this visible.

When should rounding be introduced?

After comparing. Students need to identify the target column first, or they read the wrong neighbour.

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A TutorZone lesson-prep guide. Written by the TutorZone team; questions and lesson flow are original and are not taken from any school or publisher material.