Answer :
To solve the problem, we need to identify the correct division equations related to the multiplication equation [tex]\(62 \times ? = 1,736\)[/tex].
Let's explain how we can find the related division equations:
1. Understanding the Multiplication Equation:
In the equation [tex]\(62 \times ? = 1,736\)[/tex], we are asked to determine what number (let's call it [tex]\(x\)[/tex]) should replace the question mark to make the equation true. To do this, we can transform the multiplication equation into a division equation.
2. Converting to a Division Equation:
Since multiplication and division are inverse operations, we can find the missing number by dividing 1,736 by 62. Therefore, the division equation would be:
[tex]\[
1,736 \div 62 = ?
\][/tex]
3. Identifying the Missing Factor:
When you perform the division [tex]\(1,736 \div 62\)[/tex], you find that:
[tex]\[
1,736 \div 62 = 28
\][/tex]
Hence, the missing number in the multiplication equation is 28. This confirms that the equation [tex]\(62 \times 28 = 1,736\)[/tex] is correct.
4. Checking the Given Division Equations:
Now, let's determine which of the given equations are true based on this information.
- [tex]\(1,736 \div 62 = 28\)[/tex]: This is correct because we established earlier that when you divide 1,736 by 62, you get 28.
- [tex]\(1,736 \div 28 = 62\)[/tex]: This is the reverse operation of our valid multiplication, so it is also correct.
5. Conclusion:
The two correct division equations related to the multiplication [tex]\(62 \times 28 = 1,736\)[/tex] are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
By examining the operations, these two equations are the solutions that complete the given multiplication scenario correctly.
Let's explain how we can find the related division equations:
1. Understanding the Multiplication Equation:
In the equation [tex]\(62 \times ? = 1,736\)[/tex], we are asked to determine what number (let's call it [tex]\(x\)[/tex]) should replace the question mark to make the equation true. To do this, we can transform the multiplication equation into a division equation.
2. Converting to a Division Equation:
Since multiplication and division are inverse operations, we can find the missing number by dividing 1,736 by 62. Therefore, the division equation would be:
[tex]\[
1,736 \div 62 = ?
\][/tex]
3. Identifying the Missing Factor:
When you perform the division [tex]\(1,736 \div 62\)[/tex], you find that:
[tex]\[
1,736 \div 62 = 28
\][/tex]
Hence, the missing number in the multiplication equation is 28. This confirms that the equation [tex]\(62 \times 28 = 1,736\)[/tex] is correct.
4. Checking the Given Division Equations:
Now, let's determine which of the given equations are true based on this information.
- [tex]\(1,736 \div 62 = 28\)[/tex]: This is correct because we established earlier that when you divide 1,736 by 62, you get 28.
- [tex]\(1,736 \div 28 = 62\)[/tex]: This is the reverse operation of our valid multiplication, so it is also correct.
5. Conclusion:
The two correct division equations related to the multiplication [tex]\(62 \times 28 = 1,736\)[/tex] are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
By examining the operations, these two equations are the solutions that complete the given multiplication scenario correctly.
