In the number 0.3645, which of the following does the digit 4 represent? Explain why.
3 is in the tenths place
6 is in the hundredths place
4 is in the thousandths place
5 is in the ten-thousandths place
What are your choices?
Sorry about that but thanks for your help.
a) 4 x 1/10
b) 4 x 1/100
c) 4 x 1/1,000
d) 4 x 1/10,000
e) 4 x 1/100,000
Which one do you think is the correct answer?
Choice C. Thanks.
Right! :-)
To determine which digit the number 4 represents in the decimal number 0.3645, we need to understand the place value system used in decimal notation.
In the decimal system, each digit's position represents a power of 10. The digit to the left of the decimal point represents the whole number part, while the digits to the right represent the fractional part.
Let's break down the number 0.3645 based on its place values:
- The digit to the left of the decimal point is 0, which represents 0 ones (or 0 in the whole number part).
- Moving to the right, the digit after the decimal point is 3, representing 3 tenths (0.3).
- The next digit is 6, representing 6 hundredths (0.06).
- Then, the following digit is 4, representing 4 thousandths (0.004).
- Finally, the last digit is 5, which represents 5 ten-thousandths (0.0005).
In the number 0.3645, the digit 4 represents 4 thousandths.