Learn Decimals with Plainmath's In-Depth Explanations and Real-World Examples

Find the solution of the equation rounded to two decimals.
$8.36-0.95x-9.97$

Round 2093.33 to the nearest hundredth.

Find the solution of the equation rounded to two decimals.
$3.02x+1.48-10.92$

To solve:
The equation $x^2-1.800x+0.810=0$ using quadratic formula and a calculator, rounding to three decimals.

Bethany needs to borrow $\$10,000.$ She can borrow the money at $5.5\mathrm{\%}$ simple interest for 4 yr or she can borrow at $5\mathrm{\%}$ with interest compounded continuously for 4 yr.
a) How much total interest would Bethany pay at $5.5\mathrm{\%}$ simple interest?
b) How much total interest would Bethany pay at $5$ interest compounded continuously?
c) Which option results in less total interest?

Susan's brother is 5 years more than as old as Susan. The product of their ages in years is 315. How old is Susan?

When multiplying decimals, how do you know where to place the decimal point? Think about this as you do parts (a) through (d) below. a. Write two equations for multiplying 0.3 by 0.16. One equation should express the factors and product using decimals, and one using fractions. b. In part (a), you multiplied tenths by hundredths to get thousandths. Do you always get thousandths if you multiply tenths by hundredths? Why or why not? What do you get if you multiply tenths by tenths? Hundredths by hundredths? Use several examples to justify your answers. c. When a multiplication problem is written using decimals, there is a relationship between the number of decimal places in the parts (or factors) of the problem and the number of decimal places in the answer (or product). Describe this relationship. d. Describe a shortcut for locating the decimal point in the answer to a problem involving decimal multiplication.

Multiply the decimal fractions.
$3.594\times 0.219$

Find three decimals that make the number sentence true. 1.75>____

What are the real numbers?

Is subtraction of decimals associative? If not, give a counterexample.

Find the solution of the equation rounded to two decimals. 1) ${\displaystyle 3.02x+1.48=10.92}$ 2) ${\displaystyle 8.36-0.95x=9.97}$ 3) ${\displaystyle 2.15x-4.63=x+1.19}$

To add: ${\displaystyle 200.49+16.82+103.002}$

Find the value of x for the provided equation ${\displaystyle 0.09(x+200)=0.08x+22.}$

What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

Ariel's bedroom is 170in long, 135in wide, and 8.3 ft high. Her bedroom has two windows that measure 15 sq.ft. each and a door that measures 20 sq.ft. Ariel and her daughter, Melody, are going to paint Ariel's bedroom. It is given that 1 gallon of paint covers 150 sq.ft.How many gallons of paint are needed to paint the four walls and the ceiling of Ariel's bedroom with one coat of paint? Round your final answer to two decimals places.

Lodine - 131, a radioactive substance that is effective in localing brain tumors, a half-life of only eight days. A hospital purchased 22 grams of the substance but had to wail five days before it could be used. How much of the substance was left after five days?

from the list ${\displaystyle 0,14,\frac{2}{3},\pi ,\surd 7,-\frac{11}{14},2.34,-19,\frac{55}{8},-\sqrt{17},3.21,}$ and -2.6, identify each of the following.

Rewrite the following as an equivalent logarithmic equation. ${\displaystyle e^3=20.0855}$ An equivalent logarithmic for $e^3=20.0855$ is ?