Question

level 158
what fraction and decimal is shown on this 1000 grid? select all that apply.
select multiple answers
a two and twenty two hundredths
b $0.2 + 0.02 + 0.002 = 0.222$
c two hundred twenty two thousandths
d $\frac{200}{1000} + \frac{20}{1000} + \frac{2}{1000} = \frac{222}{1000}$

Explanation:

Step1: Analyze the grid

The grid has 1000 small squares (since it's a 1000 - grid). The colored part (red, yellow, blue) totals 222 squares. So the fraction is $\frac{222}{1000}$ and the decimal is 0.222.

Step2: Evaluate Option A

"Two and twenty - two hundredths" is 2.22, which is not equal to 0.222. So A is incorrect.

Step3: Evaluate Option B

$0.2+0.02 + 0.002=0.222$. This matches the decimal value of the colored part (222 thousandths or 0.222). So B is correct.

Step4: Evaluate Option C

222 thousandths is equivalent to $\frac{222}{1000}$ or 0.222. This matches the value from the grid. So C is correct.

Step5: Evaluate Option D

$\frac{200}{1000}+\frac{20}{1000}+\frac{2}{1000}=\frac{200 + 20+2}{1000}=\frac{222}{1000}$, which is the fraction of the colored part. So D is correct.

Answer:

B. $0.2 + 0.02+0.002 = 0.222$, C. two hundred twenty two thousandths, D. $\frac{200}{1000}+\frac{20}{1000}+\frac{2}{1000}=\frac{222}{1000}$