Writing Numbers Through Hundred Millions
Grade 4 students learn to write numbers through the hundred millions place in Saxon Math Intermediate 4. Large numbers are organized into three-digit periods separated by commas: the ones period, the thousands period, and the millions period. Writing 105,062,008 requires one hundred five million (105), sixty-two thousand with a placeholder zero (062), and eight with two placeholder zeros (008). Forgetting placeholder zeros is the most common error — each period must contain exactly three digits. This Chapter 4 skill extends place value understanding to nine-digit numbers.
Key Concepts
New Concept To write a whole number with seven, eight, or nine digits, we use another comma to indicate millions.
What’s next Next, you’ll practice writing numbers in the millions using digits and words, and then compare their values.
Common Questions
How are large numbers organized into periods?
Numbers are grouped into three-digit periods separated by commas. From right to left: the ones period, the thousands period, and the millions period. For example, 105,062,008 has the millions period 105, thousands period 062, and ones period 008.
How do you write one hundred five million sixty-two thousand eight in standard form?
Write the millions part: 105. Add a comma. Write the thousands part with a hundreds placeholder: 062. Add a comma. Write the ones part with hundreds and tens placeholders: 008. Result: 105,062,008.
Why are placeholder zeros important in large numbers?
Each period must contain exactly three digits. If the number only specifies sixty-two thousand, you must write 062, not 62, because the hundreds place in that period is empty. Without the zero, the number shifts to a different value.
What is the hundred millions place?
The hundred millions place is the ninth digit from the right. In 105,062,008, the digit 1 is in the hundred millions place, representing 100,000,000 (one hundred million).
What Saxon Math chapter covers writing numbers through hundred millions?
Writing numbers through hundred millions is covered in Saxon Math Intermediate 4, Chapter 4 (Lessons 31-40), as an extension of place value to nine-digit numbers.