Grade 3What Multiplication Means3.OA.C.7

Facts of 2, 5 and 10

Use doubles and skip counting for these facts.

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Now we learn the facts so they come fast. Start with three easy families. You already know how to count by 5s and 10s, and with turn-around facts each fact does double duty.

The 5s are shaded: they end in 5 or 0 and make two columns. Switch to 2s and 10s to see their patterns.

Why it works

Times 2 is a double: $2 \times 8 = 8 + 8$. Times 10 makes tens: $10 \times 6$ is 6 tens, 60. Times 5 is half of times 10, because 5 is half of 10: $10 \times 7 = 70$, so $5 \times 7 = 35$.

Key idea

2s: double the number. 10s: that many tens. 5s: half of the 10s fact, or count by 5s.

Worked example: A double

Find $2 \times 8$.
  1. Double 8: $8 + 8 = 16$.

Answer: $16$

Worked example: Half of ten

Find $5 \times 7$.
  1. $10 \times 7 = 70$.
  2. 5 sevens is half of 10 sevens: half of 70 is 35.

Answer: $35$

Worked example: Tens

Find $10 \times 9$.
  1. 10 groups of 9 is the same as 9 groups of 10: 9 tens.
  2. 9 tens is 90.

Answer: $90$

Common mistake

Losing count while skip counting. For $5 \times 8$, keep track of how many 5s you have said, on your fingers. Or use half of $10 \times 8 = 80$, which is 40. Two ways that agree make a strong check.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 3, 3.OA.C.7 (fluently multiply within 100 using strategies)
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