Place Value Of 7 In 4.6763

Understanding Decimal Place Values

Decimal numbers are based on powers of ten. Each digit after the decimal point represents a fractional value, such as tenths, hundredths, thousandths, and so on. For example, in the number 4.6763:

• The 6 is in the tenths place, so its value is 6 × 0.1 = 0.6
• The 7 is in the hundredths place, so its value is 7 × 0.01 = 0.07
• The 6 is in the thousandths place, so its value is 6 × 0.001 = 0.006
• The 3 is in the ten thousandths place, so its value is 3 × 0.0001 = 0.0003

Understanding the place value of each digit helps with rounding, comparing numbers, and performing arithmetic with decimals. It's especially important in fields like science, finance, and engineering.