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Clever calculation of recursive equation in grade four
The ingenious calculation process illustrates 37×76+37× 14.

Thinking of solving problems: Four arithmetic rules (calculation in sequence, first multiplication and division, then addition and subtraction, first parenthesis, first power), that is, disjoint operation (recursive equation calculation), should be carried out on the premise of this principle.

Problem solving process:

37×76+37× 14

=37×(76+ 14)

=37×90

=3330

Extended data (vertical calculation-calculation result): first, align the last digit of two multipliers, then use the second multipliers respectively. Starting from the last digit, each digit is multiplied by one multiplier in turn, and finally the calculation result is accumulated into the product. If the multiplier is decimal, the corresponding multiple can be expanded first, and then the product can be reduced by the corresponding multiple;

Problem solving process:

Step 1: 7×90=630

Step 2: 3×90=2700

According to the above calculation results, the total is 3330.

If in doubt, please ask questions. If satisfied, please adopt them.