Question

Which list shows the numbers in increasing order? A) −1.4, 3, 1 3 4 , 12 B) −1.4, 1 3 4 , 3, 12 C) 12 , 1 3 4 , 3, −1.4 D) 12 , 3, 1 3 4 , −1.4

Answer 1

The numbers in increasing order are −1.4, 1 3 4 , 3, 12, which corresponds to option B.

Step-by-step explanation:

The student asked which list shows the numbers in increasing order. The options were:

• A) −1.4, 3, 1 3 4 , 12
• B) −1.4, 1 3 4 , 3, 12
• C) 12 , 1 3 4 , 3, −1.4
• D) 12 , 3, 1 3 4 , −1.4

To put the numbers in increasing order, we start with the smallest number and move to the largest. Negative numbers are smaller than positive numbers, fractions should be considered for their decimal values, and whole numbers are considered as is. The correct list in increasing order is B) −1.4, 1 3 4 , 3, 12, as −1.4 is the smallest, followed by the fraction 1 3 4 (which is 1.75), then the whole number 3, and finally the largest number 12.