6.7: Matching Game

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In this section, you’ll find numbers described in various ways: as fractions, as points on a number line, as decimals, and in a picture. Your job is to match these up in a way that makes sense.

Note: there may be more than one fraction to match a given decimal, or more than one picture to match a given point on the number line. So be ready to justify your answers.

Fractions

(a) $\frac{1}{5}$	(b) $\frac{1}{3}$	(c) $\frac{2}{3}$
(d) $\frac{9}{8}$	(e) $\frac{15}{16}$	(f) $\frac{25}{100}$
(g) $\frac{3}{4}$	(h) $\frac{33}{100}$	(i) $\frac{3}{25}$
(j) $\frac{1}{4}$	(k) $\frac{6}{5}$	( $\ell$ ) $\frac{2}{5}$
(m) $\frac{4}{100}$	(n) $\frac{2}{10}$	(o) $\frac{1}{2}$

Points on a number line

$15sixteenths.png$ Point 1	$33hundredths.png$ Point 2
$nineeighths-300x35.png$ Point 3	$one25th.png$ Point 4
$onefifth.png$ Point 5	$onethird.png$ Point 6
$onehalf.png$ Point 7	$twofifths.png$ Point 8
$sixfifths-300x33.png$ Point 9	$onefifth.png$ Point 10
$threefourths.png$ Point 11	$twothirds.png$ Point 12
$three25ths.png$ Point 13

Decimals

(i) 1.20	(ii) $0. \bar{6}$	(iii) 0.33
(iv) 0.25	(v) 0.5	(vi) 0.200
(vii) 0.75	(viii) $0. \bar{3}$	(ix) 0.2
(x) 1.125	(xi) 0.12	(xii) 0.04
(xiii) 0.40	(xiv) 0.50	(xv) 0.9375

Pictures

$twothirdsgrid-300x300.png$ Picture A	$1516thsgrid-300x300.png$ Picture B
$halfgrida-300x300.png$ Picture C	$twofifthsgrid-300x300.png$ Picture D
$quartergridc-300x300.png$ Picture E	$3fourthsgrida-300x300.png$ Picture F
$onefifthgridb-300x300.png$ Picture G	$325thsgridb-300x300.png$ Picture H
$halfgridb-300x300.png$ Picture I	$onefifthgrida-300x300.png$ Picture J
$quartergridb-300x300.png$ Picture K	$onethirdgrid-300x300.png$ Picture L
$quartergrida-300x300.png$ Picture M	$3fourthsgridb-300x300.png$ Picture N
$325thsgrida-300x300.png$ Picture O	$33hundredthsgrid-300x300.png$ Picture P
$1point2grid-300x250.png$ Picture Q	$9eighthsgrid-300x253.png$ Picture R

(a) \(\frac{1}{5}\)	(b) \(\frac{1}{3}\)	(c) \(\frac{2}{3}\)
(d) \(\frac{9}{8}\)	(e) \(\frac{15}{16}\)	(f) \(\frac{25}{100}\)
(g) \(\frac{3}{4}\)	(h) \(\frac{33}{100}\)	(i) \(\frac{3}{25}\)
(j) \(\frac{1}{4}\)	(k) \(\frac{6}{5}\)	( $\ell$ ) \(\frac{2}{5}\)
(m) \(\frac{4}{100}\)	(n) \(\frac{2}{10}\)	(o) \(\frac{1}{2}\)

(i) 1.20	(ii) \(0. \bar{6}\)	(iii) 0.33
(iv) 0.25	(v) 0.5	(vi) 0.200
(vii) 0.75	(viii) \(0. \bar{3}\)	(ix) 0.2
(x) 1.125	(xi) 0.12	(xii) 0.04
(xiii) 0.40	(xiv) 0.50	(xv) 0.9375