Math / Numbers & Operations

Question(3) 团用自 00 $\qquad$ 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? $\qquad$ Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number we get after taking 3 little cubes away from 32, shown with base ten blocks, and explain how to do it using block trades. Watch out! We can't just take away 3 cubes right away, because we only see two single cubes!

STEP 2

1. Set up the blocks
2. Make the trade
3. Take away the cubes
4. Find the final value

STEP 3

Alright, let's visualize this!
We've got $\text{32}$ , which means we have 3 long blocks (those tens are awesome!) and 2 little cubes.
So, we start with $\text{3} \cdot \text{10} + \text{2} \cdot \text{1} = \text{30} + \text{2} = \text{32}$ .

STEP 4

Houston, we have a problem!
We need to take away 3 cubes, but we only have 2.
Time for a trade!
We can trade one of our long blocks (worth 10) for 10 little cubes.

STEP 5

Now, we have 2 long blocks left and $\text{10} + \text{2} = \text{12}$ little cubes.
We still have a total of $\text{2} \cdot \text{10} + \text{12} \cdot \text{1} = \text{20} + \text{12} = \text{32}$ .
See? The value hasn't changed, we've just rearranged things!

STEP 6

Okay, now we can take away those 3 little cubes!
We had 12 little cubes, and we're taking away 3, which leaves us with $\text{12} - \text{3} = \text{9}$ little cubes.

STEP 7

Remember, we still have those 2 long blocks, so we have $\text{2} \cdot \text{10} + \text{9} \cdot \text{1} = \text{20} + \text{9}$ .

STEP 8

Let's put it all together.
We have $\text{20} + \text{9} = \text{29}$ .
Boom!

STEP 9

After taking away 3 cubes, we're left with 29!

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Question(3) 团用自 00 $\qquad$ 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? $\qquad$ Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number we get after taking 3 little cubes away from 32, shown with base ten blocks, and explain how to do it using block trades. Watch out! We can't just take away 3 cubes right away, because we only see two single cubes!

STEP 2

1. Set up the blocks
2. Make the trade
3. Take away the cubes
4. Find the final value

STEP 3

Alright, let's visualize this!
We've got $\text{32}$ , which means we have 3 long blocks (those tens are awesome!) and 2 little cubes.
So, we start with $\text{3} \cdot \text{10} + \text{2} \cdot \text{1} = \text{30} + \text{2} = \text{32}$ .

STEP 4

Houston, we have a problem!
We need to take away 3 cubes, but we only have 2.
Time for a trade!
We can trade one of our long blocks (worth 10) for 10 little cubes.

STEP 5

Now, we have 2 long blocks left and $\text{10} + \text{2} = \text{12}$ little cubes.
We still have a total of $\text{2} \cdot \text{10} + \text{12} \cdot \text{1} = \text{20} + \text{12} = \text{32}$ .
See? The value hasn't changed, we've just rearranged things!

STEP 6

Okay, now we can take away those 3 little cubes!
We had 12 little cubes, and we're taking away 3, which leaves us with $\text{12} - \text{3} = \text{9}$ little cubes.

STEP 7

Remember, we still have those 2 long blocks, so we have $\text{2} \cdot \text{10} + \text{9} \cdot \text{1} = \text{20} + \text{9}$ .

STEP 8

Let's put it all together.
We have $\text{20} + \text{9} = \text{29}$ .
Boom!

STEP 9

After taking away 3 cubes, we're left with 29!

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Question(3) 团用自 00 \qquad 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? \qquad Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

Studdy Solution

STEP 1

What is this asking? We need to figure out what number we get after taking 3 little cubes away from 32, shown with base ten blocks, and explain how to do it using block trades. Watch out! We can't just take away 3 cubes right away, because we only *see* two single cubes!

STEP 2

1. Set up the blocks2. Make the trade3. Take away the cubes4. Find the final value

STEP 3

Alright, let's **visualize** this!We've got 32\text{32}32, which means we have **3 long blocks** (those tens are awesome!) and **2 little cubes**.So, we start with 3⋅10+2⋅1=30+2=32\text{3} \cdot \text{10} + \text{2} \cdot \text{1} = \text{30} + \text{2} = \text{32}3⋅10+2⋅1=30+2=32.

STEP 4

Houston, we have a problem!We need to take away 3 cubes, but we only *have* 2.Time for a trade!We can trade *one* of our long blocks (worth 10) for 10 little cubes.

STEP 5

STEP 6

Okay, *now* we can take away those 3 little cubes!We had 12 little cubes, and we're taking away 3, which leaves us with 12−3=9\text{12} - \text{3} = \text{9}12−3=9 little cubes.

STEP 7

Remember, we still have those **2 long blocks**, so we have 2⋅10+9⋅1=20+9\text{2} \cdot \text{10} + \text{9} \cdot \text{1} = \text{20} + \text{9}2⋅10+9⋅1=20+9.

STEP 8

Let's put it all together.We have 20+9=29\text{20} + \text{9} = \text{29}20+9=29.Boom!

STEP 9

After taking away 3 cubes, we're left with 29!

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question(3) 团用自 00 $\qquad$ 32 Usa dibujos abreviados de bloques para mostrar cómo puedes quitar 3 cubos. Pista: Intercambia 1 largo por 10 cubos. ¿Cuál es el valor de los bloques que quedan? $\qquad$ Cuéntale a alguien en casa cómo hacer intercambios entre largos y cubos de base 10.

What is this asking? We need to figure out what number we get after taking 3 little cubes away from 32, shown with base ten blocks, and explain how to do it using block trades. Watch out! We can't just take away 3 cubes right away, because we only see two single cubes!

1. Set up the blocks
2. Make the trade
3. Take away the cubes
4. Find the final value

Alright, let's visualize this!
We've got $\text{32}$ , which means we have 3 long blocks (those tens are awesome!) and 2 little cubes.
So, we start with $\text{3} \cdot \text{10} + \text{2} \cdot \text{1} = \text{30} + \text{2} = \text{32}$ .

Houston, we have a problem!
We need to take away 3 cubes, but we only have 2.
Time for a trade!
We can trade one of our long blocks (worth 10) for 10 little cubes.

Okay, now we can take away those 3 little cubes!
We had 12 little cubes, and we're taking away 3, which leaves us with $\text{12} - \text{3} = \text{9}$ little cubes.

Remember, we still have those 2 long blocks, so we have $\text{2} \cdot \text{10} + \text{9} \cdot \text{1} = \text{20} + \text{9}$ .

Let's put it all together.
We have $\text{20} + \text{9} = \text{29}$ .
Boom!