# 2.2.1: Practice with Significant Figures

$$\newcommand{\vecs}{\overset { \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\newcommand{\inner}{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\newcommand{\inner}{\langle #1, #2 \rangle}$$ $$\newcommand{\Span}{\mathrm{span}}$$

Exercise $$\PageIndex{1}$$

Tell the number of significant figures in each measurement.

(a) 5060 L

(b) 340 g

(c) 3 cm

(d) 30.04 mg

(e) 0.00440 kg

(f) 640.0 mL

(a) 3

(b) 2

(c) 1

(d) 4

(e) 3

(f) 4

Exercise $$\PageIndex{1}$$

Round each number to two significant digits.

(a) 4.825

(b) 0.0568

(c) 5624.8

(a) 4.8

(b) 0.057

(c) 5600

Round each number to the tens place.

(d) 118.8

(e) 49.3

(f) 3582

(d) 120

(e) 50

(f) 3580

Exercise $$\PageIndex{1}$$

Provide the answer to each multiplication or division problem with correct significant digits.

(a) 3.4 X 27.8

(b) 6600/2.25

(c) 73.82 X 60.2

(a) 95

(b) 2900

(c) 4440

Provide the answer to each addition or subtraction problem with correct significant digits.

(d) 4560 + 12

(e) 11.27 - 5.881

(f) 44.26 + 5.74

(d) 4570

(e) 5.39

(f) 50.00

Provide the answer to each mixed operations problem with correct significant digits.

(g) 22.82 + (2.21 X 3.04)

(h) (112.52 - 64.388) X 0.23100

(i) 65.70 / (0.755 + 3.145)