2.789 in word form and in expanded form
2 answers:
Answer:
The answers are Two and seventy hundred eighty-nine thousandths and 2.0+0.7+0.78+0.789
Step-by-step explanation:
In order to express the decimal number in its word form and in its expanded form, we have to know some notation about the position of every number.
In word form, you have to write the number in words. Every number position has a notation, both the whole number part as the decimal part.
I have attached two images that show some notations and examples about writting decimal numbers.
In expanded form, you have to separate the number in additions.
So, in this case:
Word form:
2.789= Two and seventy hundred eighty-nine thousandths
Expanded form:
2.789=2.0+0.7+0.78+0.789
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Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
