Saturday, June 16, 2012

Practice problems for first homework of Summer 2012

Change these numbers in Hindu-Arabic to Roman numerals.

648 = ______

15,781 = _____

Change these numbers in Roman numerals to Hindu-Arabic.
__
IXCDXLVII = ____

DCXCIV = ____

Find the approximation of 7/37 to the following number of decimal places and find the exact repeating decimal representation.

7/37 to the nearest tenth = _____
7/37 to the nearest hundredth = _____
7/37 to the nearest thousandth = ____

Repeating decimal representation = _____

Find the prime factorization of 48.

Find all the factors of 48.

Add or subtract these times, given in minutes and seconds.  If the minutes are 60 or more, change the answer to hours:minutes:seconds.

27:25 + 18:58 + 21:44 = __________

17:21 - 9:46 = __________

Answers in the comments.

1 comment:

Prof. Hubbard said...

Change these numbers in Hindu-Arabic to Roman numerals.

648 =
DCXLVIII

===

15,781 =
__
XVDCCLXXXI
===

Change these numbers in Roman numerals to Hindu-Arabic.
__
IXCDXLVII =
9,447
===

DCXCIV =
694
===

Find the approximation of 7/37 to the following number of decimal places and find the exact repeating decimal representation.

7/37 to the nearest tenth =
.2
===

7/37 to the nearest hundredth =
.19
===

7/37 to the nearest thousandth =
.189
===


Repeating decimal representation =
___
.189
===


Find the prime factorization of 48.

48 = 2 x 2 x 2 x 2 x 3
or 48 = 2^4 x 3

===

Find all the factors of 48.

All the factors of 48 in pairs.

1 and 48
2 and 24
3 and 16
4 and 12
6 and 8

======


27:25 + 18:58 + 21:44 =

66:127
We change 127 seconds to 2 minutes, 7 seconds.
68:07
We change 68 minute to 1 hour, 8 minutes.

Final answer: 1:08:07


17:21 - 9:46 = __________


We change 17:21 to 16:81 so we can subtract small from big in both the seconds and the minutes.

16:81 - 9:46 = 7:35