Math  /  Numbers & Operations

QuestionPut these numbers in order from greatest to least. -5 38\frac{3}{8} 3740\frac{37}{40} 5.625 537405 \frac{37}{40} Submit

Studdy Solution

STEP 1

What is this asking? We need to arrange a mix of negative numbers, fractions, decimals, and mixed numbers in descending order, from largest to smallest! Watch out! Don't get tricked by how the numbers look.
Fractions and decimals can be bigger or smaller than you'd think!
Also, keep an eye on that negative number – it'll be the smallest of the bunch.

STEP 2

1. Convert to Decimals
2. Order Decimals
3. Present Solution

STEP 3

Let's **convert everything to decimals** so we can compare them easily.
This is like getting everyone to speak the same language!

STEP 4

We already have 5-5 and 5.6255.625 as decimals.
Easy peasy!

STEP 5

Now, let's tackle 38\frac{3}{8}.
To **convert a fraction to a decimal**, we **divide the numerator by the denominator**: 38=3÷8=0.375\frac{3}{8} = 3 \div 8 = 0.375.
So, 38\frac{3}{8} is equal to **0.3750.375.**

STEP 6

Next up is 3740\frac{37}{40}.
Dividing 3737 by 4040 gives us: 3740=37÷40=0.925\frac{37}{40} = 37 \div 40 = 0.925.
So, 3740\frac{37}{40} equals **0.9250.925.**

STEP 7

Finally, we have the mixed number 537405 \frac{37}{40}.
We know that 3740\frac{37}{40} is equal to 0.9250.925, so 537405 \frac{37}{40} is just 5+0.925=5.9255 + 0.925 = 5.925.
Therefore, 537405 \frac{37}{40} is equal to **5.9255.925.**

STEP 8

Now that we have all our numbers as decimals, let's **put them in order from greatest to least**: 5.9255.925 (from 537405 \frac{37}{40}) 5.6255.625 0.9250.925 (from 3740\frac{37}{40}) 0.3750.375 (from 38\frac{3}{8}) 5-5

STEP 9

Let's present the numbers in their original forms, as requested by the problem.

STEP 10

From greatest to least, the order is: 537405 \frac{37}{40}, 5.6255.625, 3740\frac{37}{40}, 38\frac{3}{8}, and 5-5.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord