College

Which of the following number sentences could be used to find the answer to [tex]$215 \div 5=$[/tex]?

A. [tex]$5 \div 215=$[/tex]

B. [tex]$215 - \square = 5$[/tex]

C. [tex]$5 + \square = 215$[/tex]

D. [tex]$5 \times \square = 215$[/tex]

Answer :

To solve the problem [tex]\( 215 \div 5 = \)[/tex], we can look at the multiple-choice options to see which number sentence could help find the answer:

To understand the relationship:

1. Option (A): [tex]\( 5 \div 215 = \)[/tex]

- This arrangement does not help to find [tex]\( 215 \div 5 \)[/tex]. Dividing 5 by 215 is not related to dividing 215 by 5.

2. Option (B): [tex]\( 215 - \square = 5 \)[/tex]

- This is a subtraction sentence, which isn't directly related to division. It's looking for what you subtract from 215 to get 5, which doesn’t solve [tex]\( 215 \div 5 \)[/tex].

3. Option (C): [tex]\( 5 + \square = 215 \)[/tex]

- This is an addition equation, not directly related to division. It’s looking for what you add to 5 to get 215.

4. Option (D): [tex]\( 5 \times \square = 215 \)[/tex]

- This is the multiplication form that works with the division problem. If you find a number that, when multiplied by 5, equals 215, you have found [tex]\( 215 \div 5 \)[/tex].

Thus, the number sentence [tex]\( 5 \times \square = 215 \)[/tex] from Option (D) could be used to find the answer to [tex]\( 215 \div 5 \)[/tex].

The result of the division [tex]\( 215 \div 5 = 43 \)[/tex]. Therefore, if you solve [tex]\( 5 \times \square = 215 \)[/tex], you would find that [tex]\( \square = 43 \)[/tex], confirming the relationship and correctness.