Question

Explain how to use a pattern to find 35.6 ÷10 to the second power

Answer 1

10 to the 2nd power only means 10x10=100
35.6/100=0.256
35.6/10x10=0.256

Answer 2

Simplify:
`(35.6 / 10)^2`

we can write this as;

`((35.6)/(10))^2`

or

`((356)/(100))^2 = (3.56)^2` [Move the decimal to two place to the left]

Now using identity rule:
`(a+b)^2 = a^2+b^2+2ab`

rewritten
`(3.56)^2` as;

`(3+0.56)^2`

Apply the identity rule:

`(3+0.56)^2= 3^2 + (0.56)+2(3)(0.56)`

=
`9+0.3136+3.36 = 12.6736`

Therefore, the answer for
`(35.6 / 10)^2` is, 12.6736