explain how to use a pattern to find 35.6 ÷10 to the second power
Answer:
Simplify: \((35.6 \div 10)^2\)
we can write this as;
\((\frac{35.6}{10})^2\)
or
\((\frac{356}{100})^2 = (3.56)^2\) [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 \((35.6 \div 10)^2\) is, 12.6736