# How do you evaluate 1.2g if g=77?

Dec 26, 2016

#### Answer:

A slightly different approach and not using a calculator
92.4

#### Explanation:

If it is the decimal that is giving you trouble try this approach.

Let get rid of the decimal for the first part of the solution then put it back afterwards.

1.2 is the same as $12 \times \frac{1}{10}$

So instead of $1.2 \times g$ we have $12 \times g \times \frac{1}{10}$

We are told that $g$ is worth 77 so this becomes

color(green)(12xxcolor(red)(g)xx1/10" "->" "12xxcolor(red)(77)xx1/10

12 can be split into 10+2

$\text{ } \textcolor{g r e e n}{10 \times 77 = 770}$
" "color(green)(color(white)(1)2xx77=ul(154) larr" add")
$\text{ } \textcolor{g r e e n}{924}$

So now we have:

color(green)([12xxcolor(red)(77)]xx1/10" "->" "[924]xx1/10

$\text{ } \textcolor{g r e e n}{92.4}$