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Question
directions: use the place value chart to help you reason. remember: moving left is 10 times as much. moving right is dividing by 10. 1. what is 10 times as much as 905,304? explain using place value (10 times as much).
Step1: Recall place value rule
When multiplying a number by 10, each digit moves one place to the left in the place - value chart.
Step2: Analyze the number 905,304
Let's write the digits of 905,304 with their place values:
- 9 is in the hundred - thousands place ($9\times100000 = 900000$)
- 0 is in the ten - thousands place ($0\times10000=0$)
- 5 is in the thousands place ($5\times1000 = 5000$)
- 3 is in the hundreds place ($3\times100 = 300$)
- 0 is in the tens place ($0\times10 = 0$)
- 4 is in the ones place ($4\times1=4$)
Step3: Multiply by 10
When we multiply 905,304 by 10, each digit moves one place to the left:
- The 9 (hundred - thousands place) moves to the millions place.
- The 0 (ten - thousands place) moves to the hundred - thousands place.
- The 5 (thousands place) moves to the ten - thousands place.
- The 3 (hundreds place) moves to the thousands place.
- The 0 (tens place) moves to the hundreds place.
- The 4 (ones place) moves to the tens place. And a 0 is added in the ones place.
Mathematically, $905304\times10=9053040$
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