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Use near doubles

Near-doubles reasoning identifies two addends that differ by one and relates their sum to a known double: for example, 6 + 7 can be found from 6 + 6 by adding one. Within sums to 20, this relationship supports efficient mental addition and helps connect addition facts with related subtraction facts, without extending to larger numbers or generalized algebraic rules.

Detailed Explanation: Use near doubles

Near doubles are two numbers that are next to each other, such as 66 and 77. Start with the easier double, then add 11.

Example:

6+76+7
  1. Notice that 77 is one more than 66.
  2. Think of the double (6+6)(6+6):
6+6=126+6=12
  1. Add the extra 11:
12+1=1312+1=13

So,

6+7=136+7=13

You can also think of it as (7+7=14)(7+7=14), then take away 11, which also gives (13)(13).

Learn by doing: Use near doubles

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Addition - Whole Number - Near Doubles - Column


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