Representing Whole Numbers to 100 000

Representing Whole Numbers to 10 000 and 100 000

Representing Whole Numbers (Place Value)

Why might students struggle with representing

whole numbers?

Students might struggle with representing and renaming whole numbers for any

of the following reasons:

• Students may not understand the periodic nature of the place value system,

that is, we group numbers in groups of 3 (ones, thousands, millions, etc.),

each with a hundreds, tens, and ones section.

• They may have difficulty because so many place value terms sound the same

(e.g., hundred thousands, thousands, and hundreds mean very different things

but may sound similar).

• It is not intuitively obvious why the value of a digit changes depending on its

place in a numeral (e.g., the value of the 3 in 302 is different from the value of

the 3 in 203).

• Students may have difficulty when the 0 is inside the number (e.g., they

interpret 3002 as three hundred plus two).

• It is not obvious where certain numbers might appear in real-life contexts

(e.g., the number of people in an arena is not likely to be 3 000 000 but might

be 3000 or possibly 30 000).

• Students may have difficulty multiplying or dividing by 10, 100, or 1000,

especially if the number has a last digit of 0 (e.g., a student might write

30 x 100 as 300, focusing only on the two 0s in the x 100).

Good job Rahul!

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Team Building Activity

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