In like terms, the numerical coefficients should also be the same. State whether the statement is true or false.

Solution:

We know that,

In like terms, algebraic factors are the same but numerical coefficients can differ.

So, numerical coefficients need not be the same.

Example of like terms:

13x² + 5x²

10z² + 3z²

Therefore, the statement is false.

✦ Try This: The expression 5x + 2y + 3x is a trinomial. State whether the statement is true or false.

Given,

5x + 2y + 3x = 8x + 2y

As the expression has exactly two unlike terms, it is a binomial.

Therefore, the statement is false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 48

In like terms, the numerical coefficients should also be the same. State whether the statement is true or false.

Summary:

The statement “In like terms, the numerical coefficients should also be the same” is false.

☛ Related Questions:

• The total number of planets of Sun can be denoted by the variable n. State whether the statement is . . . .
• If we add a monomial and binomial, then answer can never be a monomial. State whether the statement . . . .
• If we subtract a monomial from a binomial, then answer is atleast a binomial. State whether the stat . . . .