How to do you put these in order -1, -12 ,12 ,11,-7,-14,9,3,0

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ishpiro | College Teacher | (Level 1) Educator

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Since this list includes both positive and negative numbers, we can use the number line to compare them. The positive numbers are located to the right of zero, increasing in absolute value (the value of the number without its sign), in he direction to the right (1,2, 3, ...10, ...100and so on).  The negative numbers are located to the left of zero, increasing in the absolute value in the direction to the left (-1, -2, -3,... -101, .... -100 and so on.)

<-------|--------------|---|---|---|---|---|-----------------|---------->

           -10             -2  -1   0  1    2   3                     10

If a number is to the left of another number on the number line, it is smaller. Then, for two negative numbers, the number with greater absolute value is smaller, because it is to the left on the number line. For two positive numbers, the number with smaller absolute value is smaller.

Therefore, to arrange the list in order from least to greatest, start with the negative number with greatest absolute value:

-14, -12, -7, -1 .

These are all negative numbers in the list, so 0 will follow. After that, positive numbers in increasing order:

3, 9, 11, 12.

The list arranged in order will be

-14, -12, -7, -1, 0, 3, 9, 11, 12.

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atyourservice | Student, Grade 11 | (Level 3) Valedictorian

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Since everyone else gave you a method I would like to add my own 2 cents.

When you see a problem like this it would help to think of it as money.

for example you 12 is a positive number, so you think of it as $12, and the negatives are less that $0. Having $12 is more than having $14, which is 14 less that $0.

This helped me when i was learning about negative numbers.

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malkaam | Student, Undergraduate | (Level 1) Valedictorian

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How to do you put these in order -1, -12 ,12 ,11,-7,-14,9,3,0

These can easily be put in order with the help of a number line. Over here we have negative and positive integers, so we will start with the number 0, then you can arrange the positive numbers coming after 0 i.e,

0  3  9  11  12

After that arrange negative numbers coming before 0, the biggest negative number will come first then work your way from that ending in 0.

-14  -12  -7  -1  0

Combine both  -14  -12  -7  -1  0  3  9  11  12.

Points to remember:

positive integers come after 0                             

negative integers come before 0. 

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mmenon | Student, Grade 12 | (Level 3) eNoter

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We are going to put the numbers from lowest to highest.

Let's start with the negative numbers( numbers with a negative sign -). The greater the number, the smaller they are.

Therefore, the numbers, in increasing order, is -14,-12,-7,-1.

The positive numbers are the ones without the - sign. For positive numbers, the greater the number, the bigger they are.

Therefore, the numbers, in increasing order, is 3,9,11,12.

0 is a non-positive and non-negative number. Negative numbers are numbers that are less than zero and positive numbers are numbers that are greater than zero.

Putting all the numbers together(negative, positive and zero), in increasing order, gives us:
-14,-12,-7,-1,0,3,9,11,12.

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rachellopez | Student, Grade 12 | (Level 1) Valedictorian

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In order to put the numbers from lowest to highest (smallest to biggest if you will), you need to know the difference between positive and negative numbers. The negative numbers (like -1) are less than zero, therefore they are smaller than positive numbers, which are bigger than zero. The larger the negative number is the smaller it is because it is farther from zero. The numbers in order from smallest to biggest are

-14, -12, -7, -1, 0, 3, 9, 11, 12

irha-nadeem's profile pic

irha-nadeem | Student, Grade 9 | (Level 1) Salutatorian

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In positive numbers, the numbers are arranged from smaller to bigger, but in negative numbers, it is opposite. In negative numbers, the grater number is actually the smaller. So, the arrangement order will be:

-14, -12, -7, -1, 0, 3, 9, 11, 12

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