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Lesson 1 of 15

What a term is built from

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6 min

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Add the four dates in a 2 by 2 calendar square. If a is the top-left date, the sum is 4a + 16. It has two terms — the pieces that are added. The term 4a has two parts.

Term: 5a², written whole.
Step 1 of 4
  1. Term: 5a², written whole.
  2. Split it: coefficient 5, letter part a².
  3. A bare letter hides a 1: a = 1 × a.
  4. A minus belongs to the number: −4b has coefficient −4.

Coefficient — the number part of a term. The letters of the term are its letter part.

Rule: every term has a . A term with letters also has a letter part. A bare letter, one with no number, has coefficient 1. A minus sign in front belongs to the number, not the letters.

Because −4b means −4 × b, the minus goes with the 4.

Four terms split into their parts
TermCoefficientLetter part
5a²5a²
a1a
−4b−4b
1212none

A puzzle gives 50k + 20 + n. The of k is 50. The coefficient of n is 1.

Slide the chip to the of each term.

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