The value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.
Hundredths is written as the fractional part of the number 100. The value of a hundredth is equal to 1/100 or 0.01.
Estimate √50 to the hundredths place.
First, check the whole number between whose, the value √50 is fall.
[tex]7^2 = 49[/tex]
[tex]8^2 = 64[/tex]
The number 7 and 8 are the numbers, between which the value √50 is lies.
In the decimal point form find out the value, till the value, √50.
[tex](7. 0)^2 = 49.0[/tex]
[tex](7.1)^2 = 50.41[/tex]
Thus, the value lies between the square of 7.0 and 7.1.
The square of number between 7.0 and 7.1 are,
[tex](7.01)^2=49.1401\\(7.02)^2=49.2804\\(7.03)^2=49.4209\\(7.04)^2=49.5616\\(7.05)^2=49.7025\\(7.06)^2=49.8436\\(7.07)^2=49.9849\\(7.08)^2=50.1264\\[/tex]
Hence, the value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.
Learn more about the hundredths here;
https://brainly.com/question/8974818