Question

question 73
not yet answered
marked out of 1.00
flag question
which number has the greater value?
select one:
○ a. \\(\frac{1}{3}\\)
○ b. 0.333

question 74
not yet answered
marked out of 1.00
flag question
which number has the greater value?
select one:
○ a. 0.456
○ b. 0.4556

question 75
not yet answered
marked out of 1.00
flag question
which number has the greater value?
select one:
○ a. 35%
○ b. 0.345

Explanation:

Question 73

Step1: Convert fraction to decimal

To compare $\frac{1}{3}$ and $0.333$, we convert $\frac{1}{3}$ to a decimal. $\frac{1}{3}=0.333\cdots$ (where the 3 repeats infinitely).

Step2: Compare the decimals

Now we compare $0.333\cdots$ (which is $\frac{1}{3}$) and $0.333$. Since $0.333\cdots$ is greater than $0.333$ (because the infinite repeating 3 makes it larger than the finite decimal $0.333$), $\frac{1}{3}$ has a greater value.

Step1: Compare the decimals digit by digit

We compare $0.456$ and $0.4556$. Start from the leftmost digit and move right. The tenths place: both are 4. The hundredths place: both are 5. The thousandths place: $0.456$ has 6 and $0.4556$ has 5. Since $6 > 5$, $0.456$ is greater.

Step1: Convert percentage to decimal

To compare $35\%$ and $0.345$, we convert $35\%$ to a decimal. $35\%=\frac{35}{100} = 0.35$.

Step2: Compare the decimals

Now we compare $0.35$ (which is $35\%$) and $0.345$. Since $0.35>0.345$, $35\%$ has a greater value.

Answer:

a. $\frac{1}{3}$

Question 74