write each decimal in expanded form, in word form and as a fraction.
4.1967
assuming you can round....
4 1/5
four and one fifths
To write the given decimal, 4.1967, in expanded form, word form, and as a fraction, follow these steps:
1. Expanded Form:
Multiply each digit by its place value:
4.1967 can be expanded as:
4 x 10^0 + 1 x 10^-1 + 9 x 10^-2 + 6 x 10^-3 + 7 x 10^-4
2. Word Form:
Write the given decimal in words:
4.1967 can be written as "four and one thousand nine hundred sixty-seven ten thousandths."
3. Fraction Form:
To convert the decimal to a fraction, count the number of decimal places and use that as the denominator in the fraction. In this case, there are 4 decimal places.
Multiply the decimal by a power of 10 to remove the decimal point and make it a whole number. To do this, multiply both the numerator and denominator by 10,000 (10^4):
4.1967 = 4.1967/1 = 41967/10,000
Therefore, the decimal 4.1967 can be written in expanded form as 4 x 10^0 + 1 x 10^-1 + 9 x 10^-2 + 6 x 10^-3 + 7 x 10^-4. In word form, it is "four and one thousand nine hundred sixty-seven ten thousandths." In fraction form, it is 41967/10,000.