Writing whole numbers in standard form represents a quantity as one numeral by placing each digit according to its base-ten value, through the millions place, and using zero as a placeholder for an unoccupied place. The understanding connects standard form with word form and expanded form, including correctly interpreting grouped periods and distinguishing a digit’s face value from its place value; decimals, negative numbers, and numbers beyond this range are not included.
Standard form writes a whole number as one numeral. Each digit goes in its place-value position:
Each group has three places:
Example: Write “six million, forty-two thousand, nine” in standard form.
Separate the words into periods:
Place each part in its period:
Six million means in the millions place.
Forty-two thousand means in the thousands period.
Nine means in the ones place.
Use zeros as placeholders for missing places. The word “forty-two thousand” has no hundred-thousands digit, so that place is . The word “nine” has no hundreds or tens, so those places are .
Read the numeral from left to right:
The digit has a face value of , but its place value is because it is in the ten-thousands place. The expanded form confirms the answer:
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