Answer :
To determine the related division equations for the given multiplication problem [tex]\(62 \times ? = 1,736\)[/tex], we need to find out what number, when multiplied by 62, gives 1,736. Once we have this, we can identify which division equations are correct.
### Step 1: Solve for the Unknown Multiplier
The multiplication equation is:
[tex]\[ 62 \times ? = 1,736 \][/tex]
To find the missing number, we can use division by dividing 1,736 by 62:
[tex]\[ ? = \frac{1,736}{62} \][/tex]
This division gives us:
[tex]\[ ? = 28 \][/tex]
This tells us that multiplying 62 by 28 results in 1,736.
### Step 2: Identify the Related Division Equations
A related division equation will divide the product, 1,736, by one of the factors to yield the other factor. The correct equations should be consistent with the multiplication equation:
1. [tex]\(1,736 \div 62 = 28\)[/tex]
- This is correct because we determined that when you divide 1,736 by 62, you get 28.
2. Now, let's review the options provided:
- [tex]\(1,736 \div 28 = 62\)[/tex]
- This is correct because it is simply reversing the multiplication equation. When you divide 1,736 by 28, you get 62.
### Conclusion
The correct related division equations are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
These calculations verify that both equations reflect the relationship shown in the multiplication [tex]\(62 \times 28 = 1,736\)[/tex].
### Step 1: Solve for the Unknown Multiplier
The multiplication equation is:
[tex]\[ 62 \times ? = 1,736 \][/tex]
To find the missing number, we can use division by dividing 1,736 by 62:
[tex]\[ ? = \frac{1,736}{62} \][/tex]
This division gives us:
[tex]\[ ? = 28 \][/tex]
This tells us that multiplying 62 by 28 results in 1,736.
### Step 2: Identify the Related Division Equations
A related division equation will divide the product, 1,736, by one of the factors to yield the other factor. The correct equations should be consistent with the multiplication equation:
1. [tex]\(1,736 \div 62 = 28\)[/tex]
- This is correct because we determined that when you divide 1,736 by 62, you get 28.
2. Now, let's review the options provided:
- [tex]\(1,736 \div 28 = 62\)[/tex]
- This is correct because it is simply reversing the multiplication equation. When you divide 1,736 by 28, you get 62.
### Conclusion
The correct related division equations are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
These calculations verify that both equations reflect the relationship shown in the multiplication [tex]\(62 \times 28 = 1,736\)[/tex].
