Display:
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732
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3,005
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8,401
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12,475
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218,699
“En esta lección, sumaron y restaron muchos números grandes para resolver problemas. Supongamos que estamos trabajando con estos números grandes” // “In this lesson, you added and subtracted lots of large numbers to solve problems. Suppose we’re working with these large numbers.”
“¿Qué formas hay de estimar la suma o la diferencia de una lista de números sin sumarlos?” // “What are some ways to estimate the sum or difference of a list of numbers without adding them?” (Round each number to make them easier to add or subtract. Look at the digits and the place values of the numbers involved to get a sense of the sizes of the numbers.)
“En caso de ser necesario hacer cálculos con cuidado, ¿cuáles son algunas formas de organizar los números y sumarlos o restarlos de una forma eficiente?” // “If careful calculations are needed, what are some ways to organize the numbers and add or subtract them efficiently?” (Start with the largest numbers first. Start with the numbers with more zeros and fewer non-zeros. Start with computations that would result in multiples of 10, 100, 1,000, and so on, which would make other calculations easier. For example, in the given list of numbers, we could add 218,699 and 8,401 first because it’d give 227,100. Then add 12,475 and 3,005 because both numbers end in 5 and would add up to 15,480.)
“¿Cómo podríamos encontrar dos números que produzcan la mayor suma o la mayor diferencia sin tratar de encontrar la suma y la diferencia de todas las posibles parejas de números?” // “How might we find two numbers that give the greatest sum or greatest difference without trying to find the sum and difference of every pair of numbers?” (Pay attention to the size of each number, based on the number of digits and their place values.)
