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Variables & Equations

Idea 3of 23Builds onA letter holds a number

3n means 3 times n

What does 3n mean?

Today you'll discover

  • what the 3 in 3n counts
  • why 3n is not 34
  • how to work out 3n

Think firstThree bags, the same number in each

Each bag holds n = 4 marbles. What is 3n?

Decide first, then press Next. Count the groups, then what is in each.

Three bags marked n. Then the expression 3n with the label 3 bags: 3n. Then the bags opened to show 4 in each, and the working 3 × 4 = 12. The last step shows five bags of n beads.

See the whole ideathe big idea and the key word, in one place

The big idea

3n means 3 times n: 3 groups with n in each.

Compare them3n is 3 × n. n + 3 is n and 3 more. When n = 4, 3n is 12 and n + 3 is 7.

Easy to get wrong3n is never 3 and n side by side. When n = 4, 3n is 12, not 34.

Key word

coefficient
the number in front of a letter, like the 3 in 3n; it multiplies the letter

Ready to use it?

  • Work out 3n, 5n or 8n for a given n.
Practise this idea