Question
2. Do the divisions and then fill in \( < \), \( > \) or \( = \) to make e sentence true: a) \( 34000 \div 1000 \square 3400 \div 100 \) b) \( 40000 \div 100 \square 74000 \div 1000 \) c) \( 9200 \div 100 \square 19200 \div 10 \)
Ask by Garza Nunez. in South Africa
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
a) \( 34000 \div 1000 = 3400 \div 100 \)
b) \( 40000 \div 100 > 74000 \div 1000 \)
c) \( 9200 \div 100 < 19200 \div 10 \)
Solution
Sure, let's evaluate each part step by step and determine the appropriate inequality symbol (`<`, `>`, or `=`) to make the sentence true.
### a) \( 34000 \div 1000 \square 3400 \div 100 \)
1. **Calculate each division:**
- \( 34000 \div 1000 = 34 \)
- \( 3400 \div 100 = 34 \)
2. **Compare the results:**
- \( 34 \) is equal to \( 34 \).
**Answer:**
\( 34000 \div 1000 = 3400 \div 100 \)
**Symbol:** \( = \)
---
### b) \( 40000 \div 100 \square 74000 \div 1000 \)
1. **Calculate each division:**
- \( 40000 \div 100 = 400 \)
- \( 74000 \div 1000 = 74 \)
2. **Compare the results:**
- \( 400 \) is greater than \( 74 \).
**Answer:**
\( 40000 \div 100 > 74000 \div 1000 \)
**Symbol:** \( > \)
---
### c) \( 9200 \div 100 \square 19200 \div 10 \)
1. **Calculate each division:**
- \( 9200 \div 100 = 92 \)
- \( 19200 \div 10 = 1920 \)
2. **Compare the results:**
- \( 92 \) is less than \( 1920 \).
**Answer:**
\( 9200 \div 100 < 19200 \div 10 \)
**Symbol:** \( < \)
---
**Summary of Answers:**
a) \( 34000 \div 1000 = 3400 \div 100 \)
b) \( 40000 \div 100 > 74000 \div 1000 \)
c) \( 9200 \div 100 < 19200 \div 10 \)
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Simplify this solution The Deep Dive
Let's break these down! a) \( 34000 \div 1000 = 34 \) and \( 3400 \div 100 = 34 \), so the relationship is \( = \). b) \( 40000 \div 100 = 400 \) and \( 74000 \div 1000 = 74 \), so the relationship is \( > \). c) \( 9200 \div 100 = 92 \) and \( 19200 \div 10 = 1920 \), so the relationship is \( < \). Now you have: a) \( 34000 \div 1000 = 3400 \div 100 \) b) \( 40000 \div 100 > 74000 \div 1000 \) c) \( 9200 \div 100 < 19200 \div 10 \)
