three and five hundredths using both base-ten numerals and expanded form.
To express the number three and five hundredths using both base-ten numerals and expanded form, here's how you can do it:
Base-Ten Numerals:
The base-ten numeral representation of three and five hundredths is 3.05. This means that there are 3 whole units, 0 tenths, and 5 hundredths.
Expanded Form:
Expanded form breaks down a number into its individual place values. For three and five hundredths:
3.05 = (3 × 1) + (0 × 0.1) + (5 × 0.01)
In expanded form, you multiply each digit by the corresponding place value. In this case, the whole number 3 is multiplied by 1, the digit 0 in the tenths place is multiplied by 0.1, and the digit 5 in the hundredths place is multiplied by 0.01.
Simplifying the equation, you get:
3.05 = 3 + 0 + 0.05
Therefore, you can represent three and five hundredths in expanded form as the sum of 3 + 0 + 0.05.