Featured Answer

Asked on

How to order 0.5, -1/7, -0.2, and 1-3 From least to greatest.?

0.5, -1/7, -0.2, and 1-3 From least to greatest.

yess it some are negative and fractions. Help and please explain?

Answers (3)

dfr6ua91aa profile image
akvxjkx5aa profile image

Negatives immediately go before the positives.

Convert them all to same units- either all fractions with the same denominator or decimals.

Order them.

To convert fraction to decimal:

Divide the numerator by the denominator.

1/7 (1 divided by 7) = -0.14 / 1/3 (1 divided by 3) = 0.33

0.5, -0.14 , -0.2, and 0.33

When ordering negatives, the bigger the negative is (in front of the negative sign), the less it is worth. -0.2 < -0.14 - Negative 1.14 is smaller than 0.2

When ordering positives, the larger the number is the more it is worth. 1 is lowest and 9 is highest. 0.33 < 0.5

Order: -0.2, -0.14, 0.33, 0.5

a5zfxlqeaa profile image

Okay, for starters, negative numbers will always be smaller than positive numbers. for instance, if you had $5, that would be much more money than if you owed someone $5 (in other words, if you had -$5), right?

Okay, so let's change -1/7 to a decimal so that it will be easier to compare it to -0.2. To do this, we find a number that we can multiply by 7 (the denominator) to equal 100. This number is 14.29. Now we multiply that number by the numerator (1) and get 14.29. Then we divide 100 by 14.29 to get .14. So now we know that -.14 is about the same as -1/7. So which is smaller, -0.2, or -0.14?

-0.2 is the smallest number here. You can think of this in terms of money again. -0.2 is the same as "owing" 20 cents, but -0.14 is the same as owing 14 cents. Which is more money to owe someone? 20 cents, so we know that -2 is the smaller number.)

So then we also know that -.14 is the third smallest number.

Now, the remaining numbers are positve right? So we need to change 1/3 to a decimal, just like we did with -1/7. First we find a number we can multiply by 3 (denominator) to equal 100. That number is 33.33. We multiply that by the numerator to get 33.33. We divide 100 by 33.33 and get .33.

Now, with positive numbers, the more you have, the better, right? So would you rather have 33 cents or 50 cents? 50 cents, of course. So we know that .33 or 1/3 is the second largest number and .5 is the largest.

I'm sorry this is so long but I hoped it helped you!

Reference: mathsisfun.com/converting-fraction...