Question9. Using hundreds, tens, and ones, what are three different ways the number 352 can be represented other than the way shown at the right?
Studdy Solution
STEP 1
What is this asking?
We need to find three different ways to show the number 352 using groups of hundreds, tens, and ones, besides the standard way.
Watch out!
Don't just rearrange the digits!
We're talking about hundreds, tens, and ones, so think groups of blocks.
STEP 2
1. Regroup a Hundred
2. Regroup a Ten
3. Regroup Again!
STEP 3
Alright, let's **regroup** one of the hundreds in 352 into tens!
We know one hundred is the same as ten tens.
STEP 4
So, instead of **3 hundreds**, we'll have **2 hundreds**.
And since we're adding ten tens to the existing **5 tens**, we'll have a total of .
That gives us **15 tens**!
The ones stay the same, so that's **2 ones**.
Our first representation is **2 hundreds, 15 tens, and 2 ones**.
STEP 5
Now, let's play with the tens!
We'll **regroup** one of the tens in 352 into ones.
Remember, one ten is the same as ten ones.
STEP 6
Starting with our original number, we have **3 hundreds** and **5 tens**.
Since we're **regrouping** one ten into ones, we'll have **4 tens** left.
We add those ten ones to the **2 ones** we already had, giving us **12 ones**.
So, our second representation is **3 hundreds, 4 tens, and 12 ones**. .
Perfect!
STEP 7
Let's get creative and **regroup** both a hundred *and* a ten!
STEP 8
We'll start with the **3 hundreds** and **regroup** one into tens, giving us **2 hundreds** and **15 tens** (just like in our first way).
Now, let's **regroup** one of those **15 tens** into ones.
That leaves us with **14 tens**.
Adding those ten ones to our original **2 ones** gives us **12 ones**.
So, our third representation is **2 hundreds, 14 tens, and 12 ones**. .
Awesome!
STEP 9
Three other ways to represent 352 are: 2 hundreds, 15 tens, 2 ones; 3 hundreds, 4 tens, 12 ones; and 2 hundreds, 14 tens, 12 ones.
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