High School

Select the two correct answers.

An incomplete multiplication equation is shown:
[tex]$62 \times ? = 1,736$[/tex]

What are the related division equations?

A. [tex]$1,798 \div 29 = 62$[/tex]
B. [tex]$1,736 \div 62 = 28$[/tex]
C. [tex]$1,984 \div 32 = 62$[/tex]
D. [tex]$1,922 \div 62 = 31$[/tex]
E. [tex]$1,736 \div 28 = 62$[/tex]

Answer :

To solve the problem and find which two division equations are correct, let's explore the options:

We have the multiplication equation:
[tex]\[ 62 \times ? = 1,736 \][/tex]

This equation can be expressed in two related division equations. Division is essentially the reverse of multiplication, so we can use the multiplication equation to form these:

1. If you know the product and one of the factors, you can find the other factor by dividing:
[tex]\[ 1,736 \div 62 = 28 \][/tex]

2. Similarly, if you know the product and one of the factors, you can also express the division with them switched:
[tex]\[ 1,736 \div 28 = 62 \][/tex]

These are the two related division equations that correctly correspond to the given multiplication equation. So, the correct answers are:

- [tex]\( 1,736 \div 62 = 28 \)[/tex]
- [tex]\( 1,736 \div 28 = 62 \)[/tex]

Both of these equations can be verified by checking the multiplicative relationship. Therefore, these are the two correct division equations related to the original multiplication equation [tex]\( 62 \times 28 = 1,736 \)[/tex].

Other Questions