1. We can express the square of any odd number as the sum of two consecutive positive integers, for example 72 = 49 can be written as 49 = 24 + 25, write each of the followin
Squares of odd numbers, as a sum of two consecutive positive integers.
a. 169
b. 225
c. 289
d. 6561

a) 169 = 13² = 84+85

b) 225 = 15² = 112+113

c) 289 = 17² = 144+ 145

d) 6561 = 81² =  3280+ 3281

Step-by-step explanation:

Explanation:-

a) Given  169 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

169 = 13² = 84+85

b)

Given  225 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

225 = 15² = 112+113

c)

Given  289 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

289 = 17² = 144+ 145

d)

Given  6561 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

6561 = 81² =  3280+ 3281

the answer to the expression is 83

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.