A student says that 7,08,45,321 is smaller than 70,845,321 because the second number has fewer commas and looks shorter. Which option best evaluates the student’s claim?, The student is correct because fewer commas mean a greater number., The student is incorrect because both numbers represent the same value written in different systems., The student is incorrect because the Indian system always gives a larger value., The student is correct because the International system removes extra digits., A student writes 3,45,67,890 as 34,56,78,90. What is the most accurate explanation of the mistake?, The student has changed the digits in the number., The student has correctly converted the number into the International system., The student has grouped the digits incorrectly, so the number is no longer written in a valid place-value pattern., The student has only changed the number name, not the value., A student claims that 1,23,45,678 and 12,345,678 are different numbers because one is read in lakhs and the other in millions. Which option is correct?, The student is incorrect because both numbers represent the same value using different grouping systems., The student is correct because lakhs and millions cannot represent the same quantity., The student is correct because the Indian system always uses larger numbers., The student is incorrect because the first number has more digits., Which statement is always true?, The value of a digit depends on both the digit and its position in the number., A number written in the Indian system is always greater than the same number in the International system., Two numbers with the same digits are always equal., Commas determine the value of the digits., A student compares 5,67,89,012 and 5,67,98,012 and says the first number is greater because both begin with 5,67. What is the error in the student’s reasoning?, The student should compare from the rightmost digit first., The student should ignore commas completely., The student should compare the number names only., The student stopped too early and did not compare the digits at the first place where the numbers differ.

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