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Similar, equal and opposite monomials

Mathematics — first biennium · Monomials

Monomials · 3

Compare the literal part first

Two monomials are similar when, after writing them in normal form, they have exactly the same literal part. Only then compare the coefficients to decide whether they are also equal or opposite.

Equal
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Same literal part and same coefficient.

Opposite
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Same literal part and opposite coefficients.

Similar
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Same literal part, different coefficients that are not opposites.

Not similar
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The literal part is different.

Method
  1. Mentally write both monomials in normal form.
  2. Compare variables and exponents: if they differ, the monomials are not similar.
  3. If the literal part matches, compare coefficients: equal, opposite, or simply different.
What you need to know before the exercises

In this lesson: Classify two monomials by structurally comparing their literal parts.

You can already assume: Normal form and degree of a monomial.

Try it now

Classify the pair

Guided

Completed attempts: 0/5 · Correct answers: 0

Guide

1. Normalize mentally. 2. Compare the literal part first. 3. Only if it matches, compare coefficients.

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