Round off the following numbers:

$1\mathrm{.}237651$ to $4$ sig figs

$13\mathrm{.}4219$ to $2$ sig figs

$0\mathrm{.}77555$ to $3$ sig figs

$114\mathrm{.}1$ to $2$ sig figs

Perform the calculations below and report your answers to the correct number of significant figures.

a$.(3\mathrm{.}12\mathrm{.}4367)-2\mathrm{.}34=$

b$.\frac{81\mathrm{.}9+15\mathrm{.}6}{4\mathrm{.}7}=$

c$.$ To a beaker weighing $263\mathrm{.}2g,$ you add $87\mathrm{.}10g$ of water and $0\mathrm{.}549g$ of sugar. Determine the combined mass of the beaker, water and sugar $($in $g).$

d$.$ The sides of a block of solid copper metal are measured to be $6\mathrm{.}58cm,14\mathrm{.}95cm$ and $0\mathrm{.}82cm($length$,$ width and height$).$ Determine the volume of this block $($in $c{m}^3).$

S$.$I. units are standard units of measurement agreed upon by the scientific community.

a$.$ What are the S$.$I. units that are used to measure the properties of matter below?

Temperature:

Length:

Mass:

Time:

b$.$ Acceleration $(a)$ has the formula: $a=$ velocity$/$time$.$ What is the derived S$.$I. unit for acceleration?

c$.$ Force has the formula: force $=$ mass $x$ acceleration. What is the derived S$.$I. unit for force? $($note $-$ this unit is also known as the Newton$)$

Prefixes can either increase or decrease the size of a unit. Circle the larger unit in each of the pairs below.

kilometer $(km)$ or centimeter $(cm)$ milligram $(mg)$ or hectogram $(hg)$

nanosecond $($ns$)$ or picosecond $($ps$)$ microliter $(L)$ or deciliter $(dL)$

Write the conversion relationships for each of the sets of units given below.

Use the format: $1$ Big Unit $=$ Many Little Units.

$m$ and $hm$

GW and TW $($W is Watts$)$

$dg$ and $Mg$

$L$ and $pL$

ns and fs

$J$ and $kJ$

Consider the conversion relationship $1kg={10}^{3}g.$ Now write it in reverse: $1g=??kg$