In the decimal number 367.9412, name the digit that has each place value.
(a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths
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<b>(a) Tens place:</b> In the number 367.9412, the digit in the tens place is the second digit from the left before the decimal point. Therefore, the digit in the tens place is 6.
<b>(b) Tenths place:</b> The tenths place is the first digit to the right of the decimal point. In 367.9412, the digit in the tenths place is 9.
<b>(c) Thousandths place:</b> The thousandths place is the third digit to the right of the decimal point. In 367.9412, the digit in the thousandths place is 1.
<b>(d) Ones or units place:</b> The ones place is the first digit to the left of the decimal point. In 367.9412, the digit in the ones place is 7.
<b>(e) Hundredths place:</b> The hundredths place is the second digit to the right of the decimal point. In 367.9412, the digit in the hundredths place is 4.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Place Value
Place value refers to the value of a digit based on its position within a number. In a decimal number, each position to the left of the decimal point represents increasing powers of ten, while each position to the right represents decreasing powers of ten. Understanding place value is essential for identifying the significance of each digit in a number.
The decimal system is a base-10 numeral system that uses ten digits (0-9) to represent numbers. It includes both whole numbers and fractions, with the decimal point separating the integer part from the fractional part. This system allows for precise representation of values, making it crucial for understanding how to read and interpret decimal numbers.
Identifying digits by place value involves recognizing which digit corresponds to a specific place in a number. For example, in the number 367.9412, the digit in the tens place is 6, the tenths place is 9, the hundredths place is 4, the ones place is 7, and the thousandths place is 1. This skill is fundamental for accurately naming and working with decimal numbers.