nstructions $\newline$ Choose the best answer. If necessary, use the pap $\newline$ Question $\newline$ Which of the following statements is true? $\newline$ $0.6<0.61<0.7$ $\newline$ $0.61<0.6<0.7$ $\newline$ $0.7<0.61<0.6$ $\newline$ $0.7<0.6<0.61$

Full solution

Q. nstructions

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Choose the best answer. If necessary, use the pap

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Question

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Which of the following statements is true?

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0.6<0.61<0.7

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0.61<0.6<0.7

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0.7<0.61<0.6

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0.7<0.6<0.61

Compare First Two Numbers: Compare the first two numbers in each statement to determine which is smaller. $0.6 < 0.61$ is true because when comparing decimal numbers, the number with the higher digit in the smallest place value is larger. So, $0.61$ is larger than $0.6$ .
Compare Last Two Numbers: Now, compare the last two numbers in the first statement to ensure they are in the correct order. $\newline$ $0.61 < 0.7$ is true because $0.7$ has a higher digit in the tenths place than $0.61$ , making it larger.
Confirm Ascending Order: Finally, confirm that the entire sequence of the first statement is in ascending order. $0.6 < 0.61 < 0.7$ is a true statement because each subsequent number is larger than the previous one.