<\/span><\/h2>\nWhen dealing with decimals, each digit holds a specific place value, depending on its position relative to the decimal point. Let’s break down how to find the place value in a decimal:<\/p>\n
Step 1:<\/b> Identify the decimal point in the given number. The decimal point separates the whole number part from the fractional part.<\/p>\n
Step 2:<\/b> Starting from the right of the decimal point, assign each digit a place value based on its position. The place values begin with tenths, hundredths, thousandths, and so on, increasing by a factor of 10 for each subsequent position to the right.<\/p>\n
Step 3:<\/b> Count the number of digits to determine the place value. For example, the first digit to the right of the decimal point represents tenths, the second digit represents hundredths, the third digit represents thousandths, and so forth.<\/p>\n
Step 4:<\/b> Once you have identified the place value of each digit, you can easily determine the value of the decimal by multiplying each digit by its corresponding place value.<\/p>\n
Let’s illustrate this process with an example. Consider the decimal number 3.1459:<\/p>\n
1 is in the tenths place (10\u207b\u00b9)
\n4 is in the hundredths place (10\u207b\u00b2)
\n5 is in the thousandths place (10\u207b\u00b3)
\n9 is in the ten-thousandths place (10\u207b\u2074)<\/p>\n
To find the value of this decimal, we multiply each digit by its corresponding place value and sum up the results:<\/p>\n
3 \u00d7 10\u2070 (since it is to the left of the decimal point) = 3
\n1 \u00d7 10\u207b\u00b9 (tenths place) = 0.1
\n4 \u00d7 10\u207b\u00b2 (hundredths place) = 0.04
\n5 \u00d7 10\u207b\u00b3 (thousandths place) = 0.005
\n9 \u00d7 10\u207b\u2074 (ten-thousandths place) = 0.0009<\/p>\n
Adding these values together gives us the total value of the decimal: 3 + 0.1 + 0.04 + 0.005 + 0.0009 = 3.1459.<\/p>\n