Consider the statement below. “A student plotted 5 consecutive even whole numbers on a number line.” Which of these is a valid conclusion about any 2 consecutive even numbers? *
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Given : A student plotted 5 consecutive even whole numbers on a number line.”
To Find : Which of these is a valid conclusion about any 2 consecutive even numbers
Option 1: They are separated by 1 unit.
Option 2: They are separated by 2 units.
Option 3: They are separated by 5 units.
Option 4: They are separated by 10 units
Solution:
even numbers are of form
2n
two consecutive numbers
2n , 2(n+1)
Difference = 2(n+1) - 2n = 2n + 2 - 2n = 2
Hence a valid conclusion about any 2 consecutive even numbers
They are separated by 2 units.
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