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Mathematics LibreTexts

6.7: Matching Game

  • Page ID
    13649
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    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    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