B1.1 — Explore the development and use of a number concept | Concept Lesson
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B1.1 — Explore the development and use of a number concept | Concept Lesson
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Question:
Explore the concept of zero and its properties: the additive identity, multiplication by zero, and division involving zero. Then evaluate the following expression by applying each property: E equals the quantity 5 plus 0, times the quantity 3 minus 3, all divided by 2, plus 7 times 0, minus the quantity negative 4 plus 0.
B1.1 — Explore the development and use of a number concept | Concept Lesson
This lesson explores zero as a number concept, covering its historical development and three core properties: the additive identity, multiplication by zero, and division involving zero. Students work through a multi-step expression that applies all three rules and examine the critical distinction between dividing zero by a number versus dividing a number by zero.
In this lesson, you will learn to:
• Explain the additive identity property of zero and apply it to simplify expressions
• Apply the rule that any number multiplied by zero equals zero
• Distinguish between dividing zero by a non-zero number (which equals zero) and dividing by zero (which is undefined)
• Evaluate a multi-step numerical expression by correctly applying all three properties of zero
Course: Ontario Grade 9 Mathematics — Strand B: Number
Level: Grade 9
Pause before each step, try the next part yourself, and then continue to check your reasoning.
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