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Write whole numbers in standard form

This understanding involves translating whole numbers expressed in words or expanded form into standard form, using each digit’s place value from ones through hundred-thousands (and the millions place when included in the grade-appropriate number range), with zeros serving as necessary placeholders. It connects the written numeral to the quantity and additive structure it represents, supporting accurate comparison and computation; decimals, negative numbers, and more advanced place-value ranges are not included.

Detailed Explanation: Write whole numbers in standard form

To write a whole number in standard form, write the digits that match each place value:

hundred-thousandsten-thousandsthousandshundredstensones\text{hundred-thousands} \quad \text{ten-thousands} \quad \text{thousands} \quad \text{hundreds} \quad \text{tens} \quad \text{ones}

Zeros are used as placeholders when a place has no value.

Example: Write four hundred five thousand, twenty-three in standard form.

  1. Break the number into parts:

    • four hundred five thousand means (405,000)(405{,}000).
    • twenty-three means (23)(23).

  2. Put the digits in their place-value positions:

Hundred-thousandsTen-thousandsThousandsHundredsTensOnes405023\begin{array}{c|c|c|c|c|c} \text{Hundred-thousands} & \text{Ten-thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones}\\ \hline 4 & 0 & 5 & 0 & 2 & 3 \end{array}
  1. Read the digits from left to right:
405,023\boxed{405{,}023}

The zeros show that there are no ten-thousands or hundreds in the number.

Learn by doing: Write whole numbers in standard form

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    Place Value - Expanded (Numbers) to Normal Form

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