Question

estimate the value of the following numbers to the nearest whole number
1.√97
2.√250
3.√780​

Answer 1

||✪✪ QUESTION ✪✪||

Estimate the value of the following numbers to the nearest whole number

1.√97

2.√250

3.√780

|| ✰✰ ANSWER ✰✰ ||

First of all , we will see , what is a whole Number ?

→ Whole Number :- Whole numbers include positive integers along with 0. or we can say That a number without fractions or an integer.

Answer ❶ :- √97

we will see 97 comes b/w, Square of which whole Number first .

we know That :-

→ 9² = 81

→ 10² = 100

So, 97 lies between 100 and 81.

i.e. 81 < 97 < 100 .

or 9² < 97 < 10²

Taking root in the inequality Now,

→ 9 < √97 < 10

So, √97 value lies between 9 and 10 which is closest value is 10.

Therefore, The estimate whole number of is 10.

__________________________

Answer ❷ :- √250.

Similarly, now we can say That 250 lies between 225 and 256 .

→ 225 < 250 < 256 .

→ 15² < 250 < 16²

Taking root in the inequality Now,

→ 15 < √250 < 16

So, √250 value lies between 15 and 16 which is closest value is 16.

Therefore, The estimate whole number of is 16.

_____________________________

Answer ❸ :- √780

780 Lies between 729 and 784 .

→ 729 < 780 < 784 .

→ 27² < 780 < 28²

Taking root in the inequality Now,

→ 27 < √780 < 26

So, √780 value lies between 27 and 28 which is closest value is 28.

Therefore, The estimate whole number of is 28.

_____________________________

Answer 2

Step-by-step explanation:

(1)we will see 97 comes between Square of which whole Number first .

As

→ 9² = 81

→ 10² = 100

So, 97 lies between 100 and 81.

i.e. 81 < 97 < 100 .

or 9² < 97 < 10²

Taking root in the inequality Now,

→ 9 < √97 < 10

So, √97 value lies between 9 and 10 which is closest value is 10.

$\rule{200}2$

(2)√250.

250 lies between 225 and 256 .

→ 225 < 250 < 256 .

→ 15² < 250 < 16²

Taking root in the inequality Now,

→ 15 < √250 < 16

So, √250 value lies between 15 and 16 which is closest value is 16.

$\rule{200}2$

(3)√780

780 Lies between 729 and 784 .

→ 729 < 780 < 784 .

→ 27² < 780 < 28²

Taking root in the inequality Now,

→ 27 < √780 < 26

So, √780 value lies between 27 and 28 which is closest value is 28.

$\rule{200}2$