Which is larger, the pink or the blue area?
What fraction of the square is coloured in green?
Busca fracciones fuera del instituto y hazles una foto. Publícala en tu carpeta de Classdojo. Al final de esta página podrás ver el álbum de fotos que hemos recogido.
Get equivalent fractions is useful to compare them. For example, to know who's bigger, 3/5 or 2/3, we can find equivalent fractions with the same denominator. That denominator can be the LCM of the denominators or any common multiple of them:
3/5 and 2/3 are equivalents to 9/15 and 10/15 respectively. As 10/15 > 9/15, 2/3 > 3/5.
Later we will use the same procedure of getting a common denominator to add or subtract fractions.
4. Put the following fractions in order with the smallest first:
5. Halla la fracción irreducible de 520/156 y 45/75
🔄Flipped classroom
Review with the help of the following links addition, subtraction, multiplication and division of fractions. You can find also combined operations and have to apply BEDMAS rule.
They are the same than with integers, for example (2/3)³ = (2/3) · (2/3) · (2/3) = (2·2·2)/(3·3·3) = 2³/3³ = 8/27.
Foto: Planetary Suite by Steve Gildea
El peso en kg de los planetas de nuestro sistema solar es el siguiente: Mercurio (330200000000000000000000 kg), Venus (4869000000000000000000000 kg), Tierra (5974000000000000000000000 kg), Marte (641910000000000000000000 kg), Júpiter (1899000000000000000000000000 kg), Saturno (568800000000000000000000000 kg), Urano (86860000000000000000000000 kg) y Neptuno (102400000000000000000000000 kg). Ordena los planetas desde el más ligero al más pesado.
El peso de los planetas en kg expresado en notación científica es: Mercurio 3.302×10^23; Venus 4.869 × 10^24; Tierra 5.9736×10^24; Marte 6.4185 × 10^23; Júpiter 1.899×10^27; Saturno 5.688·10^26; Urano 8.686×10^25; Neptuno 1.024×10^26; Por lo tanto, ordenados, de menor a mayor, quedan así:
Mercurio < Marte < Venus < Tierra < Urano < Neptuno < Saturno < Júpiter
Scientific notation in two calculators, where E+19 or e19 means ·10¹⁹
Place value: the number 57.483 means 5 tens + 7 units + 4 tenths + 8 hundredths + 3 thousandths, that is, 5 · 10 + 7 · 1 + 4 · 1/10 + 8 · 1/100 + 3 · 1/1000 = 57 483/1 000
You can also convert a fraction into a decimal by dividing its terms, for example, 5/4 = 1.25 because 5 ÷ 4 = 1.25.
There are some special numbers that cannot be expressed as fractions. Some examples are:
π (pi number) = 3.141592653589793238462643383279502884197169399375105820974...
√2 = 1.414213562373095048801688724209698078569671875376948073176...
Special non-periodical decimals: 1.2345678910111213141516171819202122...
They are called irrational numbers (números irracionales).
Have a look a this video to see how to truncate and round a number.
En la vida cotidiana usamos estos procedimientos según nos convenga. El redondeo es más preciso, pero exige un pequeño esfuerzo. El truncamiento es más rápido y suficiente como aproximación en muchas ocasiones. Las tiendas saben que somos perezosos y solemos truncar incluso, inconscientemente y aprovechan esa circunstancia para la publicidad.
5. Observa la siguiente foto de un catálogo de unos conocidos grandes almacenes. ¿Cuánto valen el patinete y la diana juntos, si redondeamos a las decenas? ¿Cuánto parece que valen si truncamos en el mismo sitio?
Significant figures: those digits that carry meaning contributing to the precision of a number. Look how these numbers are rounded to one or two significant figures:
One SF:
33 → 30; 0.42 → 0.40; 5 470 → 5 000; 89.45 → 90.00;
998 → 1000; 1.89 → 2; 7.837 → 8.000; 0.000 056 → 0.000 060
Two SF:
123 → 120; 5.67008 → 5.70000; 34 699 → 35 000; 0.005 → 0.005
John Neper, quien popularizó el uso del punto decimal en el siglo XVI, aunque se dice que fue inventado por Pitiscus.
Before starting the new unit, lets play a Math bingo.
Who's bigger, 3/5 or 2/3?
Two fractions are equivalent if they have the same value, but with different expressions. For example, 1/2 and 2/4 are equivalent.
To quickly check if two fractions are equivalent, we can do crossing multiplication:
What fraction of the star on the right is shaded yellow?