Question
Use any model to show the division expression. Then write the quotient. \( \begin{array}{ll}\text { (1) } 35 \div 5 & \text { ( ) } 21 \div 7\end{array} \)
Ask by Schofield Henry. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotients are 7 and 3.
Solution
Divide the numbers by following steps:
- step0: Integer Division with Remainder:
\(35\div 5\)
- step1: Divide:
\(7\text{ }\textrm{remainder}\text{ }0\)
Using long division to calculate \( (21) \div (7) \).
Divide the numbers by following steps:
- step0: Integer Division with Remainder:
\(21\div 7\)
- step1: Divide:
\(3\text{ }\textrm{remainder}\text{ }0\)
Let's break down the division expressions step by step.
1. **For the expression \( 35 \div 5 \)**:
- When we divide 35 by 5, we find that \( 5 \) goes into \( 35 \) exactly \( 7 \) times with no remainder.
- Therefore, the quotient is \( 7 \).
2. **For the expression \( 21 \div 7 \)**:
- When we divide 21 by 7, we find that \( 7 \) goes into \( 21 \) exactly \( 3 \) times with no remainder.
- Therefore, the quotient is \( 3 \).
### Summary of Quotients:
- The quotient of \( 35 \div 5 \) is \( 7 \).
- The quotient of \( 21 \div 7 \) is \( 3 \).
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Mind Expander
Let's visualize the division expression using a model like "equal groups." For \(35 \div 5\), imagine 35 objects (like apples) that you want to distribute evenly into 5 groups. When you do this, each group will receive 7 apples because \(35 \div 5 = 7\). Now, for \(21 \div 7\), you take 21 objects and distribute them into 7 groups. Each group ends up with 3 objects since \(21 \div 7 = 3\). So, the quotients are: For \(35 \div 5\), the quotient is **7**. For \(21 \div 7\), the quotient is **3**.