Certainly! Let's break down the explanation for each number and determine the place value and the actual value of the digit 3 within that number.
### Example: Determining the Place Value and Actual Value of 3
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a. Number: [tex]\(21 \underline{3} 245\)[/tex]
- Place Value: Identify the place where the digit 3 is located. In this number, the digit 3 is in the thousands place.
- Value Calculation: The value is [tex]\(3 \times 1000 = 3000\)[/tex].
So, the place value of 3 is thousands, and the value is 3000.
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b. Number: [tex]\(4 \underline{3} 19500\)[/tex]
- Place Value: Identify the place where the digit 3 is located. In this number, the digit 3 is in the hundred thousands place.
- Value Calculation: The value is [tex]\(3 \times 100000 = 300000\)[/tex].
So, the place value of 3 is hundred thousands, and the value is 300000.
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c. Number: [tex]\(108 \underline{3} 0004\)[/tex]
- Place Value: Identify the place where the digit 3 is located. In this number, the digit 3 is in the ten thousands place.
- Value Calculation: The value is [tex]\(3 \times 10000 = 30000\)[/tex].
So, the place value of 3 is ten thousands, and the value is 30000.
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d. Number: [tex]\(3120215\)[/tex]
- Place Value: Identify the place where the digit 3 is located. In this number, the digit 3 is in the millions place.
- Value Calculation: The value is [tex]\(3 \times 1000000 = 3000000\)[/tex].
So, the place value of 3 is millions, and the value is 3000000.
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e. Number: [tex]\(32143516\)[/tex]
- Place Value: Identify the place where the digit 3 is located. In this number, the digit 3 is in the ten millions place.
- Value Calculation: The value is [tex]\(3 \times 10000000 = 30000000\)[/tex].
So, the place value of 3 is ten millions, and the value is 30000000.
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In summary, we identified the place value and calculated the actual value of the digit 3 in each number given:
a. [tex]\(21 \underline{3} 245\)[/tex] → place value: thousands, value: [tex]\(3000\)[/tex]
b. [tex]\(4 \underline{3} 19500\)[/tex] → place value: hundred thousands, value: [tex]\(300000\)[/tex]
c. [tex]\(108 \underline{3} 0004\)[/tex] → place value: ten thousands, value: [tex]\(30000\)[/tex]
d. [tex]\(3120215\)[/tex] → place value: millions, value: [tex]\(3000000\)[/tex]
e. [tex]\(32143516\)[/tex] → place value: ten millions, value: [tex]\(30000000\)[/tex]
