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Question
write each expression as a decimal.
- two hundred fifty - one thousandths
- one and eleven hundredths
- eight hundredths
- seventy and fifty - six thousandths
- five hundred and two ten - thousandths
- thirty - six ten - thousandths
Problem 9: two hundred fifty - one thousandths
Step 1: Recall place value
Thousandths place is the third decimal place. So we can write two hundred fifty - one as 251 and since it's thousandths, we divide by 1000.
$\frac{251}{1000}$
Step 2: Convert fraction to decimal
Dividing 251 by 1000, we move the decimal point three places to the left. So $251\div1000 = 0.251$
Step 1: Analyze the parts
"One" is the whole number part, which is 1. "Eleven hundredths" means 11 divided by 100.
$\frac{11}{100}$
Step 2: Convert and combine
$\frac{11}{100}=0.11$. Then we add the whole number part: $1 + 0.11=1.11$
Step 1: Recall place value
Hundredths place is the second decimal place. So eight hundredths is 8 divided by 100.
$\frac{8}{100}$
Step 2: Convert fraction to decimal
Dividing 8 by 100, we move the decimal point two places to the left. So $8\div100 = 0.08$
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0.251