In this Grade 4 Saxon Math Intermediate 4 lesson, students practice subtracting numbers with more than three digits, including subtraction across zeros, using column-by-column regrouping. They also extend their work with equal groups word problems, learning to divide when the total is known to find either the number of groups or the number in each group. Real-world contexts such as ticket sales and fabric measurement help students apply both skills in problem-solving situations.
Section 1
📘 Subtracting Numbers with More Than Three Digits, Word Problems About Equal Groups, Part 2
If we know the total, then we need to divide to find the number of groups or the number in each group.
Next, you’ll write and solve equations for word problems, using division to find either the number of groups or the number in each group.
Section 2
Subtracting Numbers with More Than Three Digits
When subtracting numbers with more than three digits, always start in the ones column. If the top digit is smaller than the bottom one, you must regroup by borrowing from the column to the left. Continue this process for the tens, hundreds, thousands, and so on, moving from right to left, even across multiple zeros to find your answer.
; ;
Think of it like borrowing sugar from a neighbor! Start on the right side. If a column is short on value, just borrow from the next column to the left. This 'regrouping' trick makes you a subtraction master, even when you have to borrow across a line of zeros. It ensures you always have enough value to subtract.
Section 3
Finding the number of groups
In 'equal groups' word problems, you use a multiplication formula: Number in each group Number of groups = Total. When you already know the total amount and the number of items that go in each individual group, you must use division. Divide the total by the number in each group to find out how many groups there are.
A total of 42 stickers are sorted with 6 in each group, so there are groups.; With 30 students total and 5 students in each car, you need cars.; If 56 marbles are bundled into sets of 8, you will have bundles.
Got a big pile of stuff and need to sort it? If you know the total and how many go in each container, just divide! The total divided by the number-per-group tells you exactly how many groups you can make. It's the simplest way to organize a large amount into smaller, equal-sized sets with division.
Section 4
Finding the number in each group
This is another type of 'equal groups' problem where you use the same formula: Number of groups Number in each group = Total. In these problems, you know the total number of items and how many groups they are split into. To find out how many items are in each single group, you divide the total by the number of groups.
If 45 players are split into 9 teams, each team has players.; Distributing 100 eggs into 10 cartons means each carton holds eggs.; Given the equation , we solve for n by dividing: .
You know the total and the number of containers, but not what's inside each one? Just divide the total amount by the number of groups! This reveals the mystery number of items that belong in each individual group. It’s division to the rescue for these fair sharing puzzles, revealing the size of each share.
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Section 1
📘 Subtracting Numbers with More Than Three Digits, Word Problems About Equal Groups, Part 2
If we know the total, then we need to divide to find the number of groups or the number in each group.
Next, you’ll write and solve equations for word problems, using division to find either the number of groups or the number in each group.
Section 2
Subtracting Numbers with More Than Three Digits
When subtracting numbers with more than three digits, always start in the ones column. If the top digit is smaller than the bottom one, you must regroup by borrowing from the column to the left. Continue this process for the tens, hundreds, thousands, and so on, moving from right to left, even across multiple zeros to find your answer.
; ;
Think of it like borrowing sugar from a neighbor! Start on the right side. If a column is short on value, just borrow from the next column to the left. This 'regrouping' trick makes you a subtraction master, even when you have to borrow across a line of zeros. It ensures you always have enough value to subtract.
Section 3
Finding the number of groups
In 'equal groups' word problems, you use a multiplication formula: Number in each group Number of groups = Total. When you already know the total amount and the number of items that go in each individual group, you must use division. Divide the total by the number in each group to find out how many groups there are.
A total of 42 stickers are sorted with 6 in each group, so there are groups.; With 30 students total and 5 students in each car, you need cars.; If 56 marbles are bundled into sets of 8, you will have bundles.
Got a big pile of stuff and need to sort it? If you know the total and how many go in each container, just divide! The total divided by the number-per-group tells you exactly how many groups you can make. It's the simplest way to organize a large amount into smaller, equal-sized sets with division.
Section 4
Finding the number in each group
This is another type of 'equal groups' problem where you use the same formula: Number of groups Number in each group = Total. In these problems, you know the total number of items and how many groups they are split into. To find out how many items are in each single group, you divide the total by the number of groups.
If 45 players are split into 9 teams, each team has players.; Distributing 100 eggs into 10 cartons means each carton holds eggs.; Given the equation , we solve for n by dividing: .
You know the total and the number of containers, but not what's inside each one? Just divide the total amount by the number of groups! This reveals the mystery number of items that belong in each individual group. It’s division to the rescue for these fair sharing puzzles, revealing the size of each share.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter