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

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