In a 2-digit number, [tex]\( p \)[/tex] and 3 are the digits at its tens place and the ones place respectively. Which of the following is the 2-digit number?

A. [tex]\( p \times 3 \)[/tex]
B. [tex]\( 10p + 3 \)[/tex]
C. [tex]\( 10(p + 3) \)[/tex]
D. [tex]\( 10p \times 3 \)[/tex]



Answer :

To find the 2-digit number where [tex]\( p \)[/tex] is the digit in the tens place and 3 is the digit in the ones place, we need to recall how a 2-digit number is formed.

A number is written in the form of [tex]\( 10a + b \)[/tex] where [tex]\( a \)[/tex] is the digit in the tens place and [tex]\( b \)[/tex] is the digit in the ones place.

Given:
- [tex]\( p \)[/tex] is in the tens place
- 3 is in the ones place

Hence, the 2-digit number can be represented as:
[tex]\[ 10p + 3 \][/tex]

Since [tex]\( p \)[/tex] is given as 5, let us plug this value into the equation [tex]\( 10p + 3 \)[/tex]:

[tex]\[ 10(5) + 3 = 50 + 3 = 53 \][/tex]

Therefore, the correct option is:

B. [tex]\( 10p + 3 \)[/tex]