Place value to hundred thousands
Place value to hundred thousands in Grade 4 math extends the number line to six-digit numbers, with positions from right to left: ones, tens, hundreds, thousands, ten-thousands, and hundred-thousands. Covered in Chapter 4 of Saxon Math Intermediate 4, students learn that each place is ten times greater than the place to its right. For example, in 456,789, the digit 5 in the ten-thousands place represents 50,000. This understanding enables students to read, write, compare, and order numbers up to the hundred-thousands.
Key Concepts
Property The places for a six digit number, from right to left, are: ones, tens, hundreds, thousands, ten thousands, and hundred thousands. Each place is ten times greater than the value of the place to its immediate right. Understanding this structure is crucial for reading, writing, and comparing large numbers accurately and confidently.
Example In $456,789$, the digit in the ten thousands place is $5$. In $987,654$, the digit in the hundred thousands place is $9$. The value of the digit $2$ in $123,456$ is $20,000$.
Explanation Imagine each number has its own house on a street. The houses get fancier as you go left! The 'hundreds' house is nice, but the 'hundred thousands' house is a mansion. Knowing the place value tells you exactly how important each digit is. A $3$ in the hundred thousands place is way bigger than a $9$ in the ones place!
Common Questions
What are the place values up to hundred thousands?
From right to left: ones (1), tens (10), hundreds (100), thousands (1,000), ten-thousands (10,000), and hundred-thousands (100,000). Each place is 10 times the place to its right.
What is the value of the digit 4 in 456,789?
The 4 is in the hundred-thousands place, so its value is 4 × 100,000 = 400,000.
How do you read a six-digit number?
Name the hundred-thousands, ten-thousands, and thousands group first (saying 'thousand' at the end), then read the hundreds, tens, and ones. For 456,789: 'four hundred fifty-six thousand, seven hundred eighty-nine.'
When do Grade 4 students learn place value to hundred thousands?
Six-digit place value is covered in Chapter 4 of Saxon Math Intermediate 4, extending the three- and four-digit place value of earlier grades.
How does place value to hundred thousands connect to comparing numbers?
To compare six-digit numbers, start at the greatest place value (hundred-thousands) and compare digit by digit moving right until you find a difference.
What comes after hundred thousands in place value?
Millions (1,000,000) comes next. Grade 4 introduces the millions place in writing large numbers in words, setting up for the millions and billions covered in later grades.