I can write and evaluate numbers in exponent form using a base and a power.Puedo escribir y evaluar números en forma exponencial usando una base y una potencia.
MissionMisión · Summit TrailSendero a la cumbre
Every checkpoint gets you higher.Cada punto de control te lleva más alto.
Summit Trail has forks that double, cairns that grow in layers and news that spreads from camp to camp. Powers let you count them all without writing every factor.
El Sendero de la Cumbre tiene bifurcaciones que se duplican, montículos de piedras que crecen por capas y noticias que pasan de campamento en campamento. Las potencias te permiten contarlo todo sin escribir cada factor.
Word bankBanco de palabras 5 words5 palabrasexponent, base, power, …exponente, base, potencia, …
- exponentexponente
- The small raised number that tells how many times the base is used as a factor.El número pequeño elevado que dice cuántas veces se usa la base como factor.
- basebase
- The number that gets multiplied by itself.El número que se multiplica por sí mismo.
- powerpotencia
- A number written with a base and an exponent, like 2³.Un número escrito con una base y un exponente, como 2³.
- evaluateevaluar
- To find the value of an expression.Hallar el valor de una expresión.
- repeated multiplicationmultiplicación repetida
- Multiplying the same factor again and again.Multiplicar el mismo factor una y otra vez.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Predict which is greater, 2⁵ or 2 × 5. Expand 2⁵ as repeated multiplication, evaluate both, and explain why they are different.
- A square sticker has sides of 9 cm. What is its area?
- 18 cm²
- 81 cm²
- 36 cm²
- 81 cm³
- What is the value of 2 × 2 × 2 × 2 × 2?
- 10
- 16
- 32
- 25
- Mina adds 5 + 5 + 5. Rafi multiplies 5 × 5 × 5. Whose total is greater?
- Rafi's, because multiplying three fives grows faster
- Mina's, because adding is faster than multiplying
- They are equal, because both use three fives
- They are equal, because 5 × 5 × 5 is the same as 5 × 3
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- What is the value of 4³?
- 7
- 12
- 43
- 64
- What is the value of 6²?
- 8
- 12
- 36
- 62
- Which expression shows 5³ as repeated multiplication?
- 3 × 3 × 3 × 3 × 3
- 5 × 5 × 5
- 5 × 3
- 5 + 5 + 5
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Fill in the table
- Match each power to its value.
- Spot the Common Mistake
- What is the best next move?
- Multiply 2 × 5.
- Write 5 as a factor 2 times: 5 × 5.
- Write 2 as a factor five times: 2⁵.
- Add 2 + 2 + 2 + 2 + 2.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- What is 2⁵?
- 10
- 16
- 25
- 32
- How big is the file after 5 layers?
- 20 MB
- 40 MB
- 64 MB
- 128 MB
- Why does the file grow so quickly?
- Because 4 MB is already large
- Because 5 is a big exponent
- Because the studio records faster each time
- Because each layer doubles the size instead of adding a fixed amount