The concept of place value is fundamental in understanding our number system. It allows us to determine the value of each digit based on its position within a number. To find the place value of a specific digit, we need to identify its position relative to other digits in the number.
In the case of 1.00398, let’s break it down digit by digit to determine the place value of each:
1: This digit is in the “ones” place value. It represents a value that is 1 times 1, which is simply 1.
0: This digit is in the “tenths” place value. Its value is 0 times 0.1, which is 0.
0: This digit is in the “hundredths” place value. Its value is also 0 times 0.01, which is still 0.
3: This digit is in the “thousandths” place value. Its value is 3 times 0.001, which equals 0.003.
9: Finally, this digit is in the “ten-thousandths” place value. Its value is 9 times 0.0001, resulting in 0.0009.
Now let’s highlight the answer to the question “What is the place value of 1.00398?” to make it stand out:
The place value of 1.00398 is:
Ones: 1
Tenths: 0
Hundredths: 0
Thousandths: 0.003
Ten-Thousandths: 0.0009
Now, let’s answer some related frequently asked questions:
What does place value mean?
Place value refers to the value of a digit based on its position within a number.
How is place value determined?
Place value is determined by multiplying the digit by the corresponding power of 10 based on its position.
How do you read numbers using place value?
To read numbers using place value, you start from the leftmost digit, identify its place value, and then move on to the next digit while considering its place value.
What is the relationship between place value and decimals?
Place value is crucial for understanding and working with decimal numbers. It helps determine the value of each digit relative to the decimal point.
What are the place values to the right of the decimal point?
To the right of the decimal point, the place values continue in descending order: tenths, hundredths, thousandths, ten-thousandths, and so on.
What is the difference between place value and face value?
Place value refers to the value of a digit based on its position, whereas face value is the actual numerical value represented by a digit regardless of its position.
What is the largest place value?
The largest place value depends on the number of digits in a given number. For example, in a five-digit number, the largest place value would be hundred-thousands.
What happens when place value is ignored?
Ignoring place value can lead to significant errors in calculations and a misunderstanding of the true value of a number.
How do place values affect rounding?
Place values play a crucial role in rounding numbers. When rounding, you look at the digit to the right of the rounding position to determine whether to increase or keep the value.
Why is place value important in mathematics?
Place value is essential in mathematics as it forms the basis for understanding the number system, performing arithmetic operations accurately, and working with decimals and fractions.
Can place value be applied to numbers with more digits?
Absolutely! Place value applies to numbers of any length, allowing us to determine the value of each digit within the number.
What are the different place value positions on the left side of the decimal point?
To the left side of the decimal point, the place values include ones, tens, hundreds, thousands, ten-thousands, and so on, with each place value being ten times greater than the one before it.
In conclusion, the place value of 1.00398 is:
Ones: 1
Tenths: 0
Hundredths: 0
Thousandths: 0.003
Ten-Thousandths: 0.0009