Studdy AI Logo
Math  /  Numbers & Operations

Question20. Write the following values in descencting orctiar: 170,58,403,4.025\sqrt{170}, 5 \sqrt{8}, \frac{40}{3}, 4.025

Studdy Solution

STEP 1

1. We are given four values: 170 \sqrt{170} , 58 5 \sqrt{8} , 403 \frac{40}{3} , and 4.025 4.025 .
2. We need to compare these values and arrange them in descending order.

STEP 2

1. Calculate the approximate numerical value of each expression.
2. Compare the numerical values.
3. Arrange the values in descending order.

STEP 3

Calculate the approximate numerical value of 170 \sqrt{170} .
170≈13.038 \sqrt{170} \approx 13.038

STEP 4

Calculate the approximate numerical value of 58 5 \sqrt{8} .
58=5×8=5×2.828≈14.14 5 \sqrt{8} = 5 \times \sqrt{8} = 5 \times 2.828 \approx 14.14

STEP 5

Calculate the approximate numerical value of 403 \frac{40}{3} .
403≈13.333 \frac{40}{3} \approx 13.333

STEP 6

The value of 4.025 4.025 is already given as a decimal.
4.025 4.025

STEP 7

Compare the numerical values: - 58≈14.14 5 \sqrt{8} \approx 14.14 - 403≈13.333 \frac{40}{3} \approx 13.333 - 170≈13.038 \sqrt{170} \approx 13.038 - 4.025 4.025

STEP 8

Arrange the values in descending order based on their approximate numerical values:
58,403,170,4.025 5 \sqrt{8}, \frac{40}{3}, \sqrt{170}, 4.025
The values in descending order are:
58,403,170,4.025\boxed{5 \sqrt{8}, \frac{40}{3}, \sqrt{170}, 4.025}

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