Answer :
To find the related division equations for the multiplication equation [tex]\(62 \times ? = 1,736\)[/tex], we first need to determine what the missing multiplier is.
### Step 1: Find the Missing Multiplier
The equation [tex]\(62 \times ? = 1,736\)[/tex] implies that:
[tex]\[ ? = \frac{1,736}{62} \][/tex]
When you divide 1,736 by 62, you get:
[tex]\[ ? = 28 \][/tex]
So, the equation becomes [tex]\(62 \times 28 = 1,736\)[/tex].
### Step 2: Identify the Related Division Equations
Now that we know [tex]\(62 \times 28 = 1,736\)[/tex], we use this information to determine which division statements are correct.
1. [tex]\(1,798 \div 29 = 62\)[/tex]
- Check: We don't need to consider this equation because it doesn't relate to the multiplication fact we found (62 times something or divided from 1,736).
2. [tex]\(1,736 \div 62 = 28\)[/tex]
- Check: Dividing the product, 1,736, by one factor, 62, should give the other factor, 28. This statement is true.
3. [tex]\(1,736 \div 28 = 62\)[/tex]
- Check: Similarly, dividing the product, 1,736, by the other factor, 28, should give 62. This statement is true.
4. [tex]\(1,922 \div 62 = 31\)[/tex]
- Check: This doesn't relate to our equation, as 1,922 isn't equal to 1,736.
5. [tex]\(1,984 \div 32 = 62\)[/tex]
- Check: This also doesn’t relate because 1,984 and 32 don't involve our factors (62 and 28) or the product, 1,736.
From the analysis, the correct related division equations are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
These are the two division equations that correctly relate to the original multiplication statement.
### Step 1: Find the Missing Multiplier
The equation [tex]\(62 \times ? = 1,736\)[/tex] implies that:
[tex]\[ ? = \frac{1,736}{62} \][/tex]
When you divide 1,736 by 62, you get:
[tex]\[ ? = 28 \][/tex]
So, the equation becomes [tex]\(62 \times 28 = 1,736\)[/tex].
### Step 2: Identify the Related Division Equations
Now that we know [tex]\(62 \times 28 = 1,736\)[/tex], we use this information to determine which division statements are correct.
1. [tex]\(1,798 \div 29 = 62\)[/tex]
- Check: We don't need to consider this equation because it doesn't relate to the multiplication fact we found (62 times something or divided from 1,736).
2. [tex]\(1,736 \div 62 = 28\)[/tex]
- Check: Dividing the product, 1,736, by one factor, 62, should give the other factor, 28. This statement is true.
3. [tex]\(1,736 \div 28 = 62\)[/tex]
- Check: Similarly, dividing the product, 1,736, by the other factor, 28, should give 62. This statement is true.
4. [tex]\(1,922 \div 62 = 31\)[/tex]
- Check: This doesn't relate to our equation, as 1,922 isn't equal to 1,736.
5. [tex]\(1,984 \div 32 = 62\)[/tex]
- Check: This also doesn’t relate because 1,984 and 32 don't involve our factors (62 and 28) or the product, 1,736.
From the analysis, the correct related division equations are:
- [tex]\(1,736 \div 62 = 28\)[/tex]
- [tex]\(1,736 \div 28 = 62\)[/tex]
These are the two division equations that correctly relate to the original multiplication statement.
