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how many terms are in this expression? -10k - m - n + 4

Question

how many terms are in this expression? -10k - m - n + 4

Explanation:

Step1: Recall the definition of a term

A term in an algebraic expression is a single number, variable, or the product of numbers and variables, separated by addition or subtraction signs.

Step2: Identify each term in the expression

In the expression \(-10k - m - n + 4\), we can rewrite the subtractions as additions of the opposite to clearly see the terms: \(-10k + (-m) + (-n) + 4\). Now we identify each term:

  • The first term is \(-10k\)
  • The second term is \(-m\) (or \(-1\times m\))
  • The third term is \(-n\) (or \(-1\times n\))
  • The fourth term is \(4\)

Step3: Count the number of terms

We have identified four distinct terms: \(-10k\), \(-m\), \(-n\), and \(4\).

Answer:

4