What division fact is illustrated by the arrows on the number line? 0 2 4 8. 10 12 14 16 18 20 %3D
What division fact is illustrated by the arrows on the number line? 0 2 4 8. 10 12 14 16 18 20 %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Title:** Understanding Division Using a Number Line
**Description:**
In this exercise, we explore division concepts using a number line.
**Question:**
What division fact is illustrated by the arrows on the number line?
**Explanation:**
The number line ranges from 0 to 20 and includes arrows starting at 0 and jumping in equal segments to the number 20. Each arrow represents a fixed jump of 4 units. The arrows indicate sequential movements: from 0 to 4, 4 to 8, 8 to 12, 12 to 16, and 16 to 20.
**Analysis:**
- Total distance covered on the number line: 20
- Length of each jump (or division step): 4
- Number of jumps (arrows): 5
**Division Concept:**
This visual demonstrates the division fact:
\[ 20 \div 4 = 5 \]
Therefore, the number line shows that 20 divided by 4 equals 5. This helps students understand how division can be visualized as repeated subtraction or equal partitioning on a number line.
**Interactive Component:**
Enter the numbers in the squares below to complete the division fact being illustrated:
\[ \boxed{} \div \boxed{} = \boxed{} \]
This practice reinforces understanding of division as an inverse of multiplication, using a visual aid that connects abstract concepts to a tangible representation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0ba01ff-d830-49b1-ab72-2b4d49e145df%2F7c3f6376-b74e-4160-ac95-282d8f93cd4a%2Fiv2nrj_processed.png&w=3840&q=75)
Transcribed Image Text:**Title:** Understanding Division Using a Number Line
**Description:**
In this exercise, we explore division concepts using a number line.
**Question:**
What division fact is illustrated by the arrows on the number line?
**Explanation:**
The number line ranges from 0 to 20 and includes arrows starting at 0 and jumping in equal segments to the number 20. Each arrow represents a fixed jump of 4 units. The arrows indicate sequential movements: from 0 to 4, 4 to 8, 8 to 12, 12 to 16, and 16 to 20.
**Analysis:**
- Total distance covered on the number line: 20
- Length of each jump (or division step): 4
- Number of jumps (arrows): 5
**Division Concept:**
This visual demonstrates the division fact:
\[ 20 \div 4 = 5 \]
Therefore, the number line shows that 20 divided by 4 equals 5. This helps students understand how division can be visualized as repeated subtraction or equal partitioning on a number line.
**Interactive Component:**
Enter the numbers in the squares below to complete the division fact being illustrated:
\[ \boxed{} \div \boxed{} = \boxed{} \]
This practice reinforces understanding of division as an inverse of multiplication, using a visual aid that connects abstract concepts to a tangible representation.
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