Approximate Values of Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Using a number line, what is the approximate number value of 103−−−√? Provide your answer in decimal form, rounded to the nearest hundredth.(1 point)
103−−−√ is approximately.
10.15
Approximate Values of Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)
10−−√ is between___ and___ .
Approximate Values of Irrational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)
97−−√ is between___and___.
Using rational approximations, what is an inequality statement comparing 21−−√ and 17−−√? Enter <, >, or =.(1 point)
The inequality is: 21−−√
17−−√.
To find the approximate value of √103, we can use a number line.
First, let's approximate the whole number that the square root is close to. Since 103 is between 100 and 121 (11^2), we can estimate that √103 is between √100 and √121.
√100 is 10, and √121 is 11. Therefore, we can conclude that √103 is between 10 and 11.
Next, we can make a more precise estimate using decimals. We can divide the interval between 10 and 11 into smaller parts. Since there are 10 parts between 10 and 11, we can divide the interval into 0.1 increments.
Using a calculator or a math software, we find that the approximate value of √103 to the nearest hundredth is 10.15.
So, the answer is approximately 10.15.