Neha was solving a problem in which subtraction of 673–257 was required. She said, "257 plus 100 will be 357, 457, 557, 657. So, 257 plus 400 is 657". "Now 657 plus 10 is 667, 677, so, 657 plus 20 is 677 and 4 less in 677 is 673. "Therefore, 400 plus 20 minus 4 is 416". Hence 673–257 is 416. Which of the following statements is most appropriate for the strategy of Neha?

Neha was solving a problem in which subtraction of 673–257 was required. She said, "257 plus 100 will be 357, 457, 557, 657. So, 257 plus 400 is 657". "Now 657 plus 10 is 667, 677, so, 657 plus 20 is 677 and 4 less in 677 is 673. "Therefore, 400 plus 20 minus 4 is 416". Hence 673–257 is 416. Which of the following statements is most appropriate for the strategy of Neha? Correct Answer It shows Neha is able to use her conceptual understanding of addition and subtraction in developing her own personal algorithm.

Addition, subtraction, multiplication, and division are the basic 4 operations of mathematics. Since maths is open-ended and allows divergent thinking rather than following the same process or concept, a learner is free to use any method or strategy he loves to solve a problem. Key Points

  • In the above example, Neha has a conceptual understanding of addition and subtraction, so she goes with her strategy to solve the given problem.
  • She follows repeated addition and subtraction by rounding to tens and hundreds until she gets the correct answer. 
  • So in maths, there is nothing wrong to use new innovative methods to solve problems.
  • There is no need to follow a routine by rote memorization even if you don't understand it. Conceptual understanding is the key process in mathematics.

Hence the above example shows that Neha can use her conceptual understanding of addition and subtraction in developing her algorithm.

Related Questions

416+416+416+416=?
When posed with a problem on subtraction, '400 - 45', a student responded. “If it were 40, then the answer would be 60, but its 45 so its 55, 155, 255, 355, therefore, 400 - 45 is 355.” Which one of the following statements is correct for the strategy used by the student?
What was the ratio of ages of Anchal and Neha 4 years ago if the present age of Neha is 24 years? Statement I: The difference of the ages of Neha and Anchal will be 6 years after 3 years. Statement II: After 12 years, the ratio of ages of Anchal and Neha will be 5 : 6.