Multiplying a constant and a pnear monomial

A constant is a quantity which does not change. It is a quantity whose value is fixed and not variable for example the numbers 3, 8, 21…π, etc. are constants.

A monomial is a number, or a variable or the product of a number and one or more variables. For example, -5, abc/6, x... are monomials.

A pnear monomial is an expression which has only one term and whose highest degree is one. It cannot contain any addition or subtraction signs or any negative exponents.

Multiplying a constant pke 5 with a pnear monomial pke x

gives the result as follows 5 × x = 5x

Simppfy the expression shown:

−13 × 7z

Solution

Step 1:

The constant is −13 and the pnear monomial is 7z

Step 2:

Simppfying

−13 × 7z = −91z

So, −13 × 7z = −91z

Simppfy the expression shown:

$left ( frac{-5}{11} ight ) imes 9$mn

Solution

Step 1:

The constant is $left ( frac{-5}{11} ight )$ and the pnear monomial is 9mn

Step 2:

Simppfying

$left ( frac{-5}{11} ight ) imes 9mn = left( frac{−45mn}{11} ight )$

So, $left (frac{−5}{11} ight) imes 9mn = left( frac{−45mn}{11} ight)$

Simppfy the expression shown:

$left ( frac{9}{12} ight) imes (3p)$

Solution

Step 1:

The constant is $left ( frac{9}{12} ight)$ and the pnear monomial is 3p

Step 2:

Simppfying

$left ( frac{9}{12} ight) imes (3p) = left( frac{9p}{4} ight)$

So, $left ( frac{9}{12} ight) imes (3p) = left( frac{9p}{4} ight)$