Estimating Square Roots

We know that a square root of a given
number is the number which, when
multiplied by itself, results in the given
number.
For example:
9  3 3  3
A = 9 cm2
= 3 cm
Copy the number line from the board.
Place each square root on the number line
to show its value:
1, 4 , 9 , 16 , 25
Place each square root on the number line
to show its approximate value:
2 , 5 , 11, 18 , 24
Estimate the square root of 60.
1) Find the closest perfect square below and
above the number.
49
60
64
2) Find the square root of each of those
perfect squares.
3) Use a number line to find out how far 60
is from each perfect square.
4) Estimate a decimal by looking at the
number line.
Estimate the square root of 30.
Estimate the square root of 99.
Estimate the square root of each to
the tenths place
1) 21
3) 75
5) 10
7) 136
9) 48
2) 45
4) 110
6) 2
8) 7
10) 50