In this Grade 4 Saxon Math lesson, students learn to read and write whole numbers through the hundred-thousands place, including how to use commas correctly in numbers with four to six digits. Students practice writing numbers in standard form, word form, and expanded form, and compare or order multi-digit numbers by analyzing place value from greatest to least. The lesson is part of Chapter 4 in Saxon Math Intermediate 4.
Section 1
📘 Writing Numbers Through Hundred Thousands
The three places to the left of the hundreds place are the thousands place, the ten-thousands place, and the hundred-thousands place.
Next, you'll practice using commas, writing numbers in expanded form, and translating between digits and words for large numbers.
Section 2
Writing numbers in words
To read a whole number with four, five, or six digits, you first read the number to the left of the comma, say 'thousand' at the comma, and then read the number that comes after the comma. When writing it out, always remember to place a comma after the word 'thousand' for perfect grammar.
Use words to write : 'thirty-four thousand, five hundred sixty-seven'.
Use words to write : 'six hundred forty-two thousand, one hundred ninety-eight'.
Use digits to write 'fifty-two thousand, one hundred five': .
Think of the comma as a magic word! When you see it, just shout 'thousand!' and then read the next part. This trick breaks down giant numbers into bite-sized, easy-to-read chunks. So, isn't scary; it's just 'twenty-three THOUSAND, four hundred fifty-six.' It’s like a secret code for big numbers that makes you sound super smart.
Section 3
Expanded form
Expanded form means writing a number as a sum of the values of each of its digits. This method breaks the number down by place value, showing the value contributed by each individual digit. For example, is written as . It helps visualize the magnitude of each part.
Write in expanded form: .
Write in expanded form: .
Write in expanded form: .
Ever wonder what each digit in a big number is really worth? Expanded form is like giving each digit a superhero cape that shows its true power! The '7' in isn't just a seven; it's a mighty ! You're just adding up all these super-powered digits to see the full picture and understand its true value.
Section 4
Place value to hundred thousands
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.
In , the digit in the ten-thousands place is .
In , the digit in the hundred-thousands place is .
The value of the digit in is .
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 in the hundred-thousands place is way bigger than a in the ones place!
Section 5
Comparing large numbers
To compare large numbers, you must look at the digits in the same places, starting from the greatest place value on the far left. The first place where the digits are different from each other determines which of the two numbers is greater. If all digits are identical, then the numbers are equal.
Compare and : because the ten-thousands digits ( vs ) are the tie-breaker.
Compare and : because one number reaches the hundred-thousands place.
Order from least to greatest: ; ; -> , , .
Think of it like a high-stakes showdown between two giant numbers. You start at the very front (the biggest place value) and see which digit is bigger. If they're the same, you move to the next digit to the right. The first digit to win its one-on-one battle decides which whole number wins the entire showdown!
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Section 1
📘 Writing Numbers Through Hundred Thousands
The three places to the left of the hundreds place are the thousands place, the ten-thousands place, and the hundred-thousands place.
Next, you'll practice using commas, writing numbers in expanded form, and translating between digits and words for large numbers.
Section 2
Writing numbers in words
To read a whole number with four, five, or six digits, you first read the number to the left of the comma, say 'thousand' at the comma, and then read the number that comes after the comma. When writing it out, always remember to place a comma after the word 'thousand' for perfect grammar.
Use words to write : 'thirty-four thousand, five hundred sixty-seven'.
Use words to write : 'six hundred forty-two thousand, one hundred ninety-eight'.
Use digits to write 'fifty-two thousand, one hundred five': .
Think of the comma as a magic word! When you see it, just shout 'thousand!' and then read the next part. This trick breaks down giant numbers into bite-sized, easy-to-read chunks. So, isn't scary; it's just 'twenty-three THOUSAND, four hundred fifty-six.' It’s like a secret code for big numbers that makes you sound super smart.
Section 3
Expanded form
Expanded form means writing a number as a sum of the values of each of its digits. This method breaks the number down by place value, showing the value contributed by each individual digit. For example, is written as . It helps visualize the magnitude of each part.
Write in expanded form: .
Write in expanded form: .
Write in expanded form: .
Ever wonder what each digit in a big number is really worth? Expanded form is like giving each digit a superhero cape that shows its true power! The '7' in isn't just a seven; it's a mighty ! You're just adding up all these super-powered digits to see the full picture and understand its true value.
Section 4
Place value to hundred thousands
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.
In , the digit in the ten-thousands place is .
In , the digit in the hundred-thousands place is .
The value of the digit in is .
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 in the hundred-thousands place is way bigger than a in the ones place!
Section 5
Comparing large numbers
To compare large numbers, you must look at the digits in the same places, starting from the greatest place value on the far left. The first place where the digits are different from each other determines which of the two numbers is greater. If all digits are identical, then the numbers are equal.
Compare and : because the ten-thousands digits ( vs ) are the tie-breaker.
Compare and : because one number reaches the hundred-thousands place.
Order from least to greatest: ; ; -> , , .
Think of it like a high-stakes showdown between two giant numbers. You start at the very front (the biggest place value) and see which digit is bigger. If they're the same, you move to the next digit to the right. The first digit to win its one-on-one battle decides which whole number wins the entire showdown!
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter