Which of the following shows the numbers in order from least to greatest?

A. − 2/3, − 3/4, 0.7, 0
B. − 3/4, − 2/3, 0, 0.7
C. − 2/3, − 3/4, 0, 0.7
D. 0.7, 0, − 2/3, − 3/4

Question

Which of the following shows the numbers in order from least to greatest?

A. − 2/3, − 3/4, 0.7, 0
B. − 3/4, − 2/3, 0, 0.7
C. − 2/3, − 3/4, 0, 0.7
D. 0.7, 0, − 2/3, − 3/4

Mercury · Answer

negative numbers are smaller than positive numbers, which automatically eliminates D. additionally, 0 is clearly less than 0.7 which eliminates A.

between B and C we have to figure out whether -3/4 or -2/3 is greater. to do this, try converting these to decimals by dividing the numerator by the denominator (be careful about keeping the negative sign.)