Question

Which arrangement of digits makes true statements?

a) 2, 3, 4, 1, 5, 6, 7, 8, 9, 0
b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 0
c) 0, 2, 3, 4, 1, 5, 6, 7, 8, 9
d) 1, 0, 2, 3, 4, 5, 6, 7, 8, 9

Answer 1

The correct arrangement of digits that makes true statements based on significant figures and rounding rules is (b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.

Step-by-step explanation:

The question is asking to find the arrangement of digits that makes true statements based on the provided reasoning about significant figures and rounding rules. This involves understanding significant figures, which are digits in a number that contribute to its precision. According to the given reasoning, the arrangement (b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 correctly applies the rounding rules, where:

• All digits are significant, meaning each one is meaningful in determining precision.
• The digit 8 rounds the 1 up to 2.
• The digit 2 is then dropped due to the rounding.
• The digit 5 rounds the 7 up to 8.
• When 8 rounds the next number (which is 9), 9 is replaced with 0 and causes the leftmost digit to increase to 1.

Therefore, sequence (b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 is the correct one as it aligns with the reasoning provided.