Gibbs Kelly
09/03/2024 · High School
Represent the following problem by drawing disks in the place value chart 1. To solve \( 30 \times 60 \), think \( \begin{array}{l}(3 \text { tens } \times 6) \times 10= \\ 30 \times(6 \times 10)= \\ 30 \times 60=\end{array} \)
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Tutor-Verified Answer
Step-by-step Solution
To represent the multiplication problem \( 30 \times 60 \) using disks in a place value chart, you would follow these steps:
1. **Draw the tens place for 30**: Since 30 has 3 tens, you would draw 3 disks representing tens.
2. **Draw the tens place for 60**: Similarly, since 60 has 6 tens, you would draw 6 disks representing tens.
3. **Multiply the tens**: You would then multiply the number of disks representing tens from each number. In this case, you would multiply 3 tens by 6 tens.
4. **Draw the result**: To represent the product, you would draw the total number of disks that result from the multiplication.
Here's how you could draw it:
```
Tens place for 30:
3 disks (each disk represents 10)
10
10
10
Tens place for 60:
6 disks (each disk represents 10)
10
10
10
10
10
Multiplication:
3 disks (from 30) × 6 disks (from 60) = 18 disks
(Each disk represents 10, so 18 disks represent 180)
Result:
180 disks (each disk represents 10, so this is 1800)
```
So, in the place value chart, you would have 18 disks representing the product of \( 30 \times 60 \), which is 1800.
Quick Answer
To represent \( 30 \times 60 \) with disks, draw 3 disks for 30's tens and 6 disks for 60's tens. Multiply them to get 18 disks, which equals 1800.
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