Working with Decimals

Question 1

1 and 1/5 is equivalent to what?

Answer 1

1 + 1/5 = 1 + .2 which equals 1.2

Question 2

Decimals are based on powers of what?

Answer 2

powers of 10

• can be helpful to rewrite numbers using powers of 10
  ex. 5^7 * 10^6

Question 3

what is a terminating decimal?

Answer 3

a decimal that ends at a single point

ex. 0.12

Question 4

multiplying 9 by what moves the decimal over 4 places?

Answer 4

.0001

Question 5

which is greater?

0.012 or 0.0123?

Answer 5

0.0123 is greater

Question 6

which is greater?

0.25 or 0.75?

Answer 6

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

Question 7

convert .375 to a fraction?

Answer 7

since .375 is in the thousandths place we can do

375/1000 and reduce to the simplest fraction

Question 8

convert .25 to a fraction

Answer 8

25/100

Question 9

convert .4 to a fraction

Answer 9

4/10

Question 10

what place is this number in .4

Answer 10

tenths

Question 11

what place is this number in .25

Answer 11

hundredths

Question 12

what place is this number in .375?

Answer 12

thousandths

Question 13

convert 6.75 into a fraction ?

Answer 13

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

Question 14

what is the units digit of 3.5?

Answer 14

3, the units digit is always the digit to the left of the decimal, it is another name for the ones place

Question 15

which is greater 0.001 or 0.0011?

Answer 15

0.0011

Question 16

which is greater (0.2)(0.3)(0.05) or 0.0003?

Answer 16

(0.2)(0.3)(0.05)

Question 17

which is greater 0.45454545 or 0.45454645?

Answer 17

0.45454645

Question 18

which is greater 30.003 + 3.03 or 33.3

Answer 18

33.3

Question 19

Which of the following numbers are greater than 0.1 percent of 1/4?

0. 00000025
1. 0000025
2. 000025
3. 00025
4. 0025
5. 025
6. 25
7. 5

Answer 19

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

Question 20

if 1/3^n < 0.01, then what is the least possible integer value of n?

4
5
33
34
100

Answer 20

answer = 5