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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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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