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Without working out each value fully, compare 314 − (100 + 64) and 314 − 100 + 64. Which is larger, and by how much?

Class 7Integer Expressions with BracketsIntegers
  • AThe second, by 128
  • BThe first, by 128
  • CThe second, by 64
  • DThey are equal

Step-by-Step Solution

The first is 314 − 100 − 64; the second is 314 − 100 + 64. They differ only in −64 versus +64, a gap of 128. Check: 150 and 278.
Answer: A) The second, by 128

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