Working with Decimals Flashcards
1 and 1/5 is equivalent to what?
1 + 1/5 = 1 + .2 which equals 1.2
Decimals are based on powers of what?
powers of 10
- can be helpful to rewrite numbers using powers of 10
ex. 5^7 * 10^6
what is a terminating decimal?
a decimal that ends at a single point
ex. 0.12
multiplying 9 by what moves the decimal over 4 places?
.0001
which is greater?
0.012 or 0.0123?
0.0123 is greater
which is greater?
0.25 or 0.75?
0.75 is greater
- when you are not sure which decimal is greater, always compare each number, the higher number is always greater
ex. with .25 the first number is 2
with .75 the first number is 7 so I know .75 is greater
convert .375 to a fraction?
since .375 is in the thousandths place we can do
375/1000 and reduce to the simplest fraction
convert .25 to a fraction
25/100
convert .4 to a fraction
4/10
what place is this number in .4
tenths
what place is this number in .25
hundredths
what place is this number in .375?
thousandths
convert 6.75 into a fraction ?
when dealing with a number greater than one, deal with the decimal part first so .75 = 75/100 which reduced to 3/4
then take the 6 and multiply it times 4/4 which gives you 24/4 now you can add the two fractions so, 3/4 + 24/4 = 27/4
what is the units digit of 3.5?
3, the units digit is always the digit to the left of the decimal, it is another name for the ones place
which is greater 0.001 or 0.0011?
0.0011
which is greater (0.2)(0.3)(0.05) or 0.0003?
(0.2)(0.3)(0.05)
which is greater 0.45454545 or 0.45454645?
0.45454645
which is greater 30.003 + 3.03 or 33.3
33.3
Which of the following numbers are greater than 0.1 percent of 1/4?
- 00000025
- 0000025
- 000025
- 00025
- 0025
- 025
- 25
- 5
first convert 0.1 to a percent = .1/100 = .001 * .25 = .00025 so the next answer with less zeros will be greater and so will everything greater
answer = .0025 .025 .25 2.5
if 1/3^n < 0.01, then what is the least possible integer value of n?
4 5 33 34 100
answer = 5
