If y represents the tens digit and x the units digit of a two-digit number, then the number is represented by
a.y+x
b.yx
c.0y+x
d.none of these
D
Maybe C, if you meant 10y+x
The correct answer is option c. 0y + x
To find the representation of a two-digit number using variables y and x for the tens and units digits, we need to consider the value of each digit.
In a two-digit number, the tens digit represents the value of the digit in the tens place, and the units digit represents the value of the digit in the units place.
Let's break down the options:
a. y + x
This representation adds the value of y (tens digit) to the value of x (units digit). While this representation includes both digits, it does not indicate their respective positions within the number.
b. yx
This representation places the tens digit y before the units digit x using concatenation. It correctly represents the order of the digits in a two-digit number.
c. 0y + x
This representation adds a 0 before the tens digit y and then adds the units digit x. While it includes both digits and represents their positions, it is unnecessary to include the 0. The leading 0 does not affect the value or change the place value of the digits.
d. none of these
This option suggests that neither a, b, nor c correctly represent the two-digit number using the variables y and x.
So the correct representation of a two-digit number using the variables y and x is b.yx.