Grade 4 Maths: Number Sense
Place Value and Number Forms
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Place Value and Number Forms
The user's request asks for a 60-day workbook with Excel export, but this system produces a single lesson slide deck. To stay faithful to the maths curriculum request, this deck covers one coherent Grade 4 maths lesson on place value and number forms.
Learning goal
I can read, write, compare, and represent whole numbers using place value.
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One thing you know about place value or big numbers
Use the responses to surface prior knowledge such as ones, tens, hundreds, thousands, digit value, writing numbers in words, or comparing numbers.
What place value means
A digit's value depends on its place in the number.
In 4,582, the 4 means 4 thousands.
The 5 means 5 hundreds.
The 8 means 8 tens.
The 2 means 2 ones.
Stress that the same digit can have different values in different places. For example, 5 in 5,000 is not the same as 5 in 50.
Standard form
Standard form is the usual way we write a number.
Example 1: four thousand, three hundred and twenty-one = 4,321
Example 2: seven thousand and six = 7,006
Point out the zero in 7,006. It shows there are no hundreds and no tens, but the place values still matter.
Expanded form
Expanded form shows the value of each digit.
4,582 = 4,000 + 500 + 80 + 2
6,104 = 6,000 + 100 + 4
A zero place does not add a value.
Students often try to write 6,104 as 6,000 + 100 + 0 + 4. Explain that this is not wrong mathematically, but we usually leave out the zero term.
Word form
Word form writes the number in words.
3,245 = three thousand, two hundred and forty-five
8,019 = eight thousand and nineteen
Use UK wording with 'and' in number names. Model careful reading of zeros inside numbers, especially in 8,019.
Comparing numbers
Compare digits from left to right.
5,432 > 5,234 because 4 hundreds is more than 2 hundreds.
6,099 < 6,901 because 0 hundreds is less than 9 hundreds.
Use >, <, and = to compare.
Students may focus on the last digits first. Remind them to start with the greatest place value.
In 7,006, what does the 7 represent?
7 thousands
7 hundreds
7 tens
7 ones
Checks the core idea that a digit's value depends on its position, not just the digit itself.
Complete the place value summary
The number 4,582 has 4 thousands, 5 hundreds, 8 tens, and 2 ones. In expanded form, it is 4,000 + 500 + 80 + 2. To compare numbers, start from the left and check the greatest place value first.
All blanks echo exact ideas taught across the lesson: place value, expanded form, and left-to-right comparison.
How would you explain why 6,099 is less than 6,901?
Expected elements: students should mention starting at the greatest place value on the left, then moving right only if the digits are equal. They may refer to thousands before hundreds in 6,099 and 6,901, then explain that 0 hundreds is less than 9 hundreds.
What is one idea from today that you understand better now?
Reflection prompt. Invite students to name one idea such as standard form, expanded form, word form, or comparing from left to right.
Which part of this lesson felt hardest for you?
Reflection prompt. Encourage students to mention a specific difficulty, such as zeros in numbers, expanded form, or comparing numbers with the same thousands digit.
Glossary
digit - one symbol used to write numbers, such as 0 to 9
place value - the value of a digit based on its position in a number
ones - the place for single units
tens - the place worth ten ones
hundreds - the place worth ten tens
thousands - the place worth ten hundreds
expanded form - a way to write a number as the sum of each digit's value
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