Problem Analysis:
The task involves multiplying numbers by 10, 100, and 1,000. The goal is to write the answers in the boxes provided and then identify which number has been multiplied by each of these factors (10, 100, or 1,000).
Step-by-Step Solution:
####
Part 1: Write the Answers in the Boxes
We are given a set of numbers and need to multiply them by 10, 100, and 1,000. Let's calculate each result step by step.
1.
Multiply by 10:
- $ 32 \times 10 = 320 $
- $ 268 \times 10 = 2,680 $
- $ 732 \times 10 = 7,320 $
- $ 952 \times 10 = 9,520 $
- $ 6,205 \times 10 = 62,050 $
- $ 8,253 \times 10 = 82,530 $
2.
Multiply by 100:
- $ 32 \times 100 = 3,200 $
- $ 268 \times 100 = 26,800 $
- $ 732 \times 100 = 73,200 $
- $ 952 \times 100 = 95,200 $
- $ 6,205 \times 100 = 620,500 $
- $ 8,253 \times 100 = 825,300 $
3.
Multiply by 1,000:
- $ 32 \times 1,000 = 32,000 $
- $ 268 \times 1,000 = 268,000 $
- $ 732 \times 1,000 = 732,000 $
- $ 952 \times 1,000 = 952,000 $
- $ 6,205 \times 1,000 = 6,205,000 $
- $ 8,253 \times 1,000 = 8,253,000 $
####
Part 2: Find the Number That Has Been Multiplied by Each Factor
We are given a list of results and need to determine which original number was multiplied by 10, 100, or 1,000 to produce each result.
1.
Find the number that has been multiplied by 10:
- $ 320 \rightarrow 32 \times 10 $
- $ 2,680 \rightarrow 268 \times 10 $
- $ 7,320 \rightarrow 732 \times 10 $
- $ 9,520 \rightarrow 952 \times 10 $
- $ 62,050 \rightarrow 6,205 \times 10 $
- $ 82,530 \rightarrow 8,253 \times 10 $
2.
Find the number that has been multiplied by 100:
- $ 3,200 \rightarrow 32 \times 100 $
- $ 26,800 \rightarrow 268 \times 100 $
- $ 73,200 \rightarrow 732 \times 100 $
- $ 95,200 \rightarrow 952 \times 100 $
- $ 620,500 \rightarrow 6,205 \times 100 $
- $ 825,300 \rightarrow 8,253 \times 100 $
3.
Find the number that has been multiplied by 1,000:
- $ 32,000 \rightarrow 32 \times 1,000 $
- $ 268,000 \rightarrow 268 \times 1,000 $
- $ 732,000 \rightarrow 732 \times 1,000 $
- $ 952,000 \rightarrow 952 \times 1,000 $
- $ 6,205,000 \rightarrow 6,205 \times 1,000 $
- $ 8,253,000 \rightarrow 8,253 \times 1,000 $
Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Multiplied by 10:} \\
320, 2,680, 7,320, 9,520, 62,050, 82,530 \\
\text{Multiplied by 100:} \\
3,200, 26,800, 73,200, 95,200, 620,500, 825,300 \\
\text{Multiplied by 1,000:} \\
32,000, 268,000, 732,000, 952,000, 6,205,000, 8,253,000
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiply by 10 100 and 1000 worksheet.