Write the following numbers in place value art. Write them in standard form and read them aloud.
a) $409035126$
b) $730005324$
Answer (2)
The numbers are already in standard form: 409,035,126 and 730,005,324.
Place value art involves representing each digit based on its position (hundred millions, ten millions, etc.).
Read the numbers aloud: Four hundred nine million, thirty-five thousand, one hundred twenty-six; Seven hundred thirty million, five thousand, three hundred twenty-four.
The numbers in standard form are 409,035,126 and 730,005,324.
Explanation
Problem Analysis We are given two numbers, 409035126 and 730005324. Our task is to represent these numbers in place value art, write them in standard form, and read them aloud.
Standard Form The standard form of a number is its usual representation. Both numbers are already given in standard form:
a) 409,035,126 b) 730,005,324
Place Value Representation Place value art is a visual representation of the number using blocks or diagrams to represent each digit's value based on its position. Since I cannot create visual art here, I will describe the place value for each digit:
a) 409,035,126:
4 is in the hundred millions place (400,000,000)
0 is in the ten millions place (0)
9 is in the millions place (9,000,000)
0 is in the hundred thousands place (0)
3 is in the ten thousands place (30,000)
5 is in the thousands place (5,000)
1 is in the hundreds place (100)
2 is in the tens place (20)
6 is in the ones place (6)
b) 730,005,324:
7 is in the hundred millions place (700,000,000)
3 is in the ten millions place (30,000,000)
0 is in the millions place (0)
0 is in the hundred thousands place (0)
0 is in the ten thousands place (0)
5 is in the thousands place (5,000)
3 is in the hundreds place (300)
2 is in the tens place (20)
4 is in the ones place (4)
Reading the Numbers Aloud Reading the numbers aloud:
a) 409,035,126: Four hundred nine million, thirty-five thousand, one hundred twenty-six.
b) 730,005,324: Seven hundred thirty million, five thousand, three hundred twenty-four.
Final Answer The numbers in standard form are:
a) 409,035,126 b) 730,005,324
The place values for each digit are described above, and the numbers read aloud are:
a) Four hundred nine million, thirty-five thousand, one hundred twenty-six. b) Seven hundred thirty million, five thousand, three hundred twenty-four.
Examples
Understanding place value is crucial in everyday life. For instance, when dealing with large sums of money, like understanding a company's revenue or a country's budget, knowing the place value of each digit helps in comprehending the magnitude of the amounts involved. Similarly, when reading population statistics or interpreting scientific data, place value ensures accurate understanding and communication of numerical information. This skill is also fundamental in basic arithmetic operations, such as addition, subtraction, multiplication, and division, where the correct alignment of digits based on their place value is essential for obtaining accurate results.
The two numbers in question are in standard form as 409,035,126 and 730,005,324. Their place values have been detailed, and they can be read aloud as 'Four hundred nine million, thirty-five thousand, one hundred twenty-six' and 'Seven hundred thirty million, five thousand, three hundred twenty-four' respectively.
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