In this Grade 6 lesson from Saxon Math, Course 1, students learn to identify and read place value through the trillions period, including hundred trillions, ten trillions, and trillions places. Students also practice solving multistep problems by applying arithmetic operations using key terms such as sum, difference, product, and quotient. The lesson is part of Chapter 2, which focuses on problem solving with numbers and operations.
Section 1
📘 Place Value Through Trillions
In our number system, the value of a digit depends on its position. The value of each position is called its place value.
This is just the foundation. Next, you'll apply this knowledge through worked examples, learning to identify place values and translate between digits and words.
Section 2
Place Value Through Trillions
Our number system is based on a pattern of tens. In a place value chart, each place has a value ten times greater than the place to its right.
In the number 384,912,657,000, the digit in the hundred-millions place is 9.
In the number 7,451,982, the place value of the digit 4 is hundred-thousands.
To write the number 3,045,891 in words, you say: three million, forty-five thousand, eight hundred ninety-one.
Section 3
Multistep Problems
The operations of arithmetic are addition (sum), subtraction (difference), multiplication (product), and division (quotient). Multistep problems require performing more than one of these operations to find the solution.
What is the sum of the product of 5 and 4 and the difference of 10 and 3? The product is , the difference is , so the sum is .
When the product of 8 and 3 is divided by the sum of 8 and 4, the quotient is .
Subtract the quotient of 20 and 4 from the product of 7 and 3. The answer is .
Think of these problems like a treasure hunt! Words like 'product,' 'sum,' or 'difference' are your clues. First, find the treasure for each clue (like 'the product of 5 and 3 is 15'). Then, use those answers to solve the final puzzle. It’s all about tackling one step at a time to find the final answer!
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Section 1
📘 Place Value Through Trillions
In our number system, the value of a digit depends on its position. The value of each position is called its place value.
This is just the foundation. Next, you'll apply this knowledge through worked examples, learning to identify place values and translate between digits and words.
Section 2
Place Value Through Trillions
Our number system is based on a pattern of tens. In a place value chart, each place has a value ten times greater than the place to its right.
In the number 384,912,657,000, the digit in the hundred-millions place is 9.
In the number 7,451,982, the place value of the digit 4 is hundred-thousands.
To write the number 3,045,891 in words, you say: three million, forty-five thousand, eight hundred ninety-one.
Section 3
Multistep Problems
The operations of arithmetic are addition (sum), subtraction (difference), multiplication (product), and division (quotient). Multistep problems require performing more than one of these operations to find the solution.
What is the sum of the product of 5 and 4 and the difference of 10 and 3? The product is , the difference is , so the sum is .
When the product of 8 and 3 is divided by the sum of 8 and 4, the quotient is .
Subtract the quotient of 20 and 4 from the product of 7 and 3. The answer is .
Think of these problems like a treasure hunt! Words like 'product,' 'sum,' or 'difference' are your clues. First, find the treasure for each clue (like 'the product of 5 and 3 is 15'). Then, use those answers to solve the final puzzle. It’s all about tackling one step at a time to find the final answer!
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter