1/3 is this decimal. (Prove it with long division.)
What is 0.3333...?
Where the square root of 10 would be on a number line.
Between 3 and 4, very close to 3.
4/9 is this decimal. (Prove it with long division.)
What is 0.4444...?
Where the square root of 40 would be on a number line.
Between 6 and 7, closer to 6.
3/8 is this decimal. (Prove it with long division.)
What is 0.375?
Where the NEGATIVE square root of 72 would be on a number line.
Between -8 and -9, almost in the middle.
5/12 is this decimal. (Prove it with long division.)
What is 0.4166666...?
Put the square root of 48 and the square root of 55 on the same number line.
48 between 6 and 7, very close to 7.
55 between 7 and 8, closer to 7.
3/16 is this decimal. (Prove it with long division.)
What is 0.1875?
Put NEGATIVE square root of 120 and 130 on the same number line. (both negative)
120 is between -10 and -11, very close to -11.
130 is between -11 and -12, a little bit closer to -11.