Ctrl+k

Write whole numbers in standard form

This understanding involves translating whole-number names and expanded forms into a single base-ten numeral for numbers from 0 through 1,000,000, preserving each digit’s value according to its place. It includes using zero as a placeholder when a place has no units and supports accurate reading, comparison, and later computation with multi-digit numbers; decimals, fractions, scientific notation, and numbers beyond this range are not included.

Detailed Explanation: Write whole numbers in standard form

To write a whole number in standard form, write one digit in each place-value position:

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

Use 00 as a placeholder when a place has no value.

Example: Write six hundred two thousand, forty-seven in standard form.

  1. Break the number into its place-value parts:

    • six hundred thousand = 600,000600{,}000
    • two thousand = 2,0002{,}000
    • forty = 4040
    • seven = 77

  2. Add the parts:

600,000+2,000+40+7600{,}000+2{,}000+40+7
  1. Place each digit in its correct position:
hundred-thousandsten-thousandsthousandshundredstensones602047\begin{array}{r|r|r|r|r|r} \text{hundred-thousands} & \text{ten-thousands} & \text{thousands} & \text{hundreds} & \text{tens} & \text{ones}\\ 6&0&2&0&4&7 \end{array}
  1. Read the digits as one number:
602,047\boxed{602{,}047}

The zeros are important: there are no ten-thousands and no hundreds, so 00 holds those places.

Learn by doing: Write whole numbers in standard form

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

    Practice with unlimited practice problems

    Place Value - Expanded (Numbers) to Normal Form

      ?