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";
}
echo "$ads";
?>
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Rekenen oefenen met rekenoefeningen: Optellen, aftrekken, vermenigvuldigen,
delen, machtsverheffen, worteltrekken. Alle bewerkingen, op elk niveau.
Rechnen!"; }
echo "$duits";
?>
$t/$n";
}
function Getallen ($a,$h) {
$i = 0 ;
while ($i < $a ) {
$random = ( ( rand(1,70000) ) % $h ) + 1;
$lijst[] = $random ;
$i++;
}
return $lijst ;
}
function Heleneruit ($t,$n) {
$th = $t % $n ;
$gh = intval ( $t / $n ) ;
$lijst = array($gh,$th,$n);
return $lijst ;
}
function Vereenvoudig ($t,$n) {
$priem = array (0,2,3,5,7,9,11,13,17,19,23,29,31,37,41,43,47,53,59);
$i=1;
while ( $i < 18 ) {
$j = 0 ;
while ( $t % $priem[$i] == 0 && $n % $priem[$i] == 0 && $t > $priem[$i-1] ){
$t = $t / $priem[$i];
$n = $n / $priem[$i];
$j++;
}
$i++;
}
$lijst = array($t,$n);
return $lijst ;
}
function Opgave ($methode,$ga,$ta,$na,$gb,$tb,$nb) {
if ( $ta > $na ) { $ttemp = $ta; $ta = $na; $na = $ttemp; }
if ( $ta == $na ) { $na++; }
if ( $tb > $nb ) { $ttemp = $tb; $tb = $nb; $nb = $ttemp; }
if ( $tb == $nb ) { $nb++; }
$vba = Vereenvoudig ($ta,$na);
$ta = $vba[0];
$na = $vba[1];
$vbb = Vereenvoudig ($tb,$nb);
$tb = $vbb[0];
$nb = $vbb[1];
if ( $ga == "0" ) { $ga =""; }
if ( $gb == "0" ) { $gb =""; }
if ( $methode == "+" ) {
$tat = $na * $ga + $ta;
$tbt = $nb * $gb + $tb;
if ( $na == $nb ) { $ng = $na ; $tag = $tat ; $tbg = $tbt ; } else
{ $tag = $tat * $nb;
$tbg = $tbt * $na;
$ng = $na * $nb;
}
$tu = $tag + $tbg;
$nu = $ng;
}
if ( $methode == "-" ) {
if ( ( $ga + $ta / $na ) < ( $gb + $tb / $nb ) ) {
$tempg = $ga; $tempt = $ta; $tempn = $na; $ga = $gb; $ta = $tb; $na = $nb; $gb = $tempg ; $tb = $tempt ; $nb = $tempn ;
}
$tat = $na * $ga + $ta;
$tbt = $nb * $gb + $tb;
if ( $na == $nb ) { $ng = $na ; $tag = $tat ; $tbg = $tbt ; } else
{ $tag = $tat * $nb;
$tbg = $tbt * $na;
$ng = $na * $nb;
}
$tu = $tag - $tbg;
$nu = $ng;
}
if ( $methode == "x" ) {
$tat = $na * $ga + $ta;
$tbt = $nb * $gb + $tb;
$tu = $tat * $tbt;
$nu = $na * $nb;
}
if ( $methode == ":" ) {
$tat = $na * $ga + $ta;
$tbt = $nb * $gb + $tb;
$tu = $tat * $nb;
$nu = $tbt * $na;
}
$heleneruit = Heleneruit ($tu,$nu);
$guh = $heleneruit[0];
if ($guh == 0) {$guh = "";}
$tuh = "$heleneruit[1]";
$nuh = "$heleneruit[2]";
$vereenvoudig = Vereenvoudig ($tuh,$nuh);
$tuv = "$vereenvoudig[0]";
$nuv = "$vereenvoudig[1]";
$guv = $guh;
if ($methode == "+" || $methode == "-" ) {
if ( $ga || $gb) { $he = "$ga$ta/$na $methode $gb$tb/$nb =";
}
if ( $na != $nb ) { $he .= "$tat/$na $methode $tbt/$nb =";
}
$he .= "$tag/$ng $methode $tbg/$ng
= $tu/$nu";
if ( $guh ) { $he .= "= $guh$tuh/$nuh";
}
if ( $tuh != $tuv ) { $he .= "= $guh$tuv/$nuv";
}
if ( $tuh == "0" ) { $he .= "= $guh";
}
}
if ($methode == "x" ) {
if ( $ga || $gb) { $he = "$ga$ta/$na $methode $gb$tb/$nb =";
}
$he .= "$tat/$na $methode $tbt/$nb =";
$he .= "$tat x $tbt/$na x $nb = $tu/$nu";
if ( $guh ) { $he .= "= $guh$tuh/$nuh";
}
if ( $tuh != $tuv ) { $he .= "= $guh$tuv/$nuv";
}
if ( $tuh == "0" ) { $he .= "= $guh";
}
}
if ($methode == ":" ) {
if ( $ga || $gb) { $he = "$ga$ta/$na $methode $gb$tb/$nb =";
}
$he .= "$tat/$na $methode $tbt/$nb =";
$he .= "$tat/$na x $nb/$tbt =";
$he .= "$tat x $nb/$na x $tbt = $tu/$nu";
if ( $guh ) { $he .= "= $guh$tuh/$nuh";
}
if ( $tuh != $tuv ) { $he .= "= $guh$tuv/$nuv";
}
if ( $tuh == "0" ) { $he .= "= $guh";
}
}
$return = array(
"m" => $methode
, "ga" => $ga
, "ta" => $ta
, "na" => $na
, "gb" => $gb
, "tb" => $tb
, "nb" => $nb
, "gu" => $gu
, "tu" => $tu
, "nu" => $nu
, "tat" => $tat
, "tbt" => $tbt
, "ng" => $ng
, "guh" => $guh
, "tuh" => $tuh
, "nuh" => $nuh
, "guv" => $guv
, "tuv" => $tuv
, "nuv" => $nuv
, "he" => $he
);
return $return;
}
?>
Breuken Oefenen: Breuken optellen
";
if ($antwoord == $goedeantwoord) {
echo "Dat is goed, kijk maar:
$he
";
} else {
echo "Het goede antwoord is $goedeantwoord
uitleg:
$he
";
}
}
?>
";
}
echo "$ads";
?>
Bij het breuken optellen moet je eerst de breuken gelijknamig maken!
dan tel je de tellers bij elkaar op.
Als bij de uitkomst de teller groter is dan de noemer, dan moet je er nog
helen uithalen.
Vervolgens kijk je of je de breuk nog
kunt
vereenvoudigen.
Je kunt verder oefenen met moeilijkere opgaven:
- breuken optellen, basisopgaven
- breuken optellen, hogere getallen
- breuken optellen, met helen erbij
Je vindt alle oefenopgaven en alle uitleg via het
overzicht breuken oefenen.
|