Find two numbers that have square roots between 7 and 8. one number should have a square root closer to 7 and the other should have a square root closer to 8. justify your answer.

Step-by-step explanation:

7 = √49

8 = √64

So any positive integer between 50 to 63, both inclusive, have a square root between 7 and 8.

answer: 180

step-by-step explanation:

12-2=10

20-2=18

10x18=180

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.