Li Murphy
07/30/2024 · Junior High School

Which number is a reasonable estimate for 1,519/ 49 ? 10 30 100 300

Real Tutor Solution

Tutor-Verified Answer

Quick Answer

30

Step-by-step Solution

To estimate \(\frac { 1,519} { 49} \), we can round the numbers to make the division simpler. Approximate 1,519 to 1,500 and 49 to 50. Then:
\[\frac { 1,500} { 50} = 30\]
So, a reasonable estimate for \(\frac { 1,519} { 49} \) is 30.

 

Supplemental Knowledge

Estimation in mathematics is an invaluable skill that enables users to quickly estimate an approximate answer without performing exact calculations. When dealing with division problems, estimation can help by rounding numbers down for easier division.
For example:

To estimate \(1,519 \div 49\), you can round 1,519 to 1,500 (a nearby multiple of 100) and 49 to 50 (a nearby multiple of 10).

Real-Life Connections

Imagine you're at a store trying to quickly calculate if you have enough money for multiple items. If each item costs around 49 dollars and you want to buy about 30 of them, instead of calculating exactly, you might round the price up to 50 dollars for easier mental math.

For instance:

If you have 1,500 dollars and each item is approximately 50 dollars:

You would estimate how many items you can buy by doing \(1,500 \div 50\).

 

Mastering estimation techniques can make everyday calculations quicker and more intuitive. If you're looking for more practice with estimation or other mathematical concepts,

UpStudy’s live tutor question bank and AI-powered problem-solving services offer personalized support tailored to your learning needs! And when it comes to precise calculations or verifying your estimates,

try UpStudy's Decimals Calculator. It’s perfect for handling division problems like this one with ease.

Explore UpStudy today and take your mathematical understanding to new heights!

Reviewed and approved by the UpStudy tutoring team
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions