I can find the absolute value of a rational number — an integer, fraction, or decimal — as its distance from zero.Puedo hallar el valor absoluto de un número racional (un entero, una fracción o un decimal) como su distancia desde cero.
MissionMisión · Pixel ArcadeArcade de píxeles · night shiftturno de noche
Clear every level.Supera todos los niveles.
Hard Mode is on and the glitches are loose. Scores jump left and right of the portal, and only a sharp eye for distance will tell the real power-ups from the traps.
El modo difícil está activado y los fallos andan sueltos. Los puntajes saltan a la izquierda y a la derecha del portal, y solo una buena vista para las distancias distinguirá las bonificaciones reales de las trampas.
Word bankBanco de palabras 5 words5 palabrasabsolute value, opposite, magnitude, …valor absoluto, opuesto, magnitud, …
- absolute valuevalor absoluto
- How far a number is from 0. It is never negative.Qué tan lejos está un número del 0. Nunca es negativo.
- oppositeopuesto
- Two numbers the same distance from 0 on opposite sides, like 3 and −3.Dos números a la misma distancia del 0 en lados opuestos, como 3 y −3.
- magnitudemagnitud
- The size of a number: its distance from 0.El tamaño de un número: su distancia al 0.
- rational numbernúmero racional
- A number that can be written as a fraction of two integers, with a bottom number that is not zero.Un número que se puede escribir como una fracción de dos enteros, con un denominador distinto de cero.
- integernúmero entero
- A whole number, its opposite, or 0.Un número entero, su opuesto o el 0.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Absolute Value Error
- A submarine is at -150 meters and a bird is flying at +150 meters. A student says the submarine is closer to sea level because -150 is less than 150. Is the student correct? Explain using absolute value.
- On a level line, the portal is 0. Rio stands at −9 and Sky stands at 6. How many units farther from the portal is Rio than Sky?
- The arcade logs every score change. For each change, write how many points it moves from 0 and write its opposite. Fill in every empty cell.
- Three players are shown on the level line, where 0 is the portal: Nova at −8, Zed at 5 and Kit at −2. Which statement is true?
- Nova is the farthest from the portal.
- Zed is the farthest, because 5 is greater than −8.
- Nova and Zed are the same distance, because the signs cancel.
- Nova is the closest, because negative numbers are less.
- A power meter shows a glitch reading of −3.6 and a boost reading of 2.4. The energy cost is the sum of how far each reading is from 0. What is the total energy cost?
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Compare each absolute value with 5. Sort every card into the right bin.
- Pick a setting, like ocean depth, temperature, or a bank balance. Choose four rational numbers, with at least one fraction or decimal and at least one pair of opposites. Write each absolute value and what it tells in your story. Explain why two numbers can share an absolute value.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Tom compares two score penalties, −8 and −3. Find the step where his thinking first goes wrong.
- Una finds that |−5| = 5 and |5| = 5. Find the step where her conclusion goes wrong.
- Ivo is asked, "Which integers have an absolute value of 7?" Find the step where his thinking goes wrong.
- Ava says, "An absolute value is never negative." Bo says, "|x| is always greater than x." Cy says, "Opposite numbers have the same absolute value." Who is right?
- Ava only
- Ava and Cy
- Bo and Cy
- All three
- What is the best next move?
- Test the numbers between −8 and 8.
- Stop, because absolute value is never negative.
- Try 16 and −16, since two sides double the distance.
- Find another number 8 units from 0.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- Which of these numbers is the farthest from 0?
- −4.25
- −1/2
- −4.5
- 4
- Evaluate |−18| − |7|.
- Four points are shown on the level line: P at −6, Q at 6, R at −3 and S at 2. Which two points have the same absolute value?
- P and R
- Q and S
- R and S
- P and Q
- How many integers have an absolute value less than 3?
- A player's arcade balance is −45 coins, which means the player owes 45 coins. What does the absolute value |−45| tell you?
- −45 is the size of the debt, because the player owes coins.
- 45 is the size of the debt, how far the balance is from 0.
- 45 means the player has 45 coins.
- 0 means the debt cancels out.
- Create your own arcade problem. Write two positions on a level line, one negative and one positive, that have the same absolute value. Add one fraction or decimal position. Explain what absolute value means for each and why it is never negative.