fraction: $\frac{5016}{10000}$ decimal: 0.5016
say: five thousand sixteen ten - thousandths
$\begin{array}{|c|c|c|c|c|}\hline\text{ones}&\text{tenths}&\text{hundredths}&\text{thousandths}&\text{ten - thousandths}\\ \hline 0&5&0&1&6\\ \hline\end{array}$
here are some other examples.
$\begin{array}{|c|c|c|}\hline\text{fraction}&\text{decimal}&\text{words}\\ \hline\frac{924}{1000}&0.924&\text{nine hundred twenty - four thousandths}\\ \hline 5\frac{7}{10}&5.7&\text{five and seven tenths}\\ \hline\end{array}$
show all work on this page. no calculators.
write each fraction as a decimal.
$\begin{array}{|c|c|c|c|}\hline 1)\frac{31}{100}&2)\frac{9}{100}&3)\frac{4}{10000}&4)\frac{35}{1000}\\ \hline 5)\frac{1654}{10000}&6)\frac{1}{10}&7)\frac{6}{1000}&8)\frac{3}{10}\\ \hline\end{array}$
write each expression as a decimal.
$\begin{array}{|c|c|}\hline 9)\text{two hundred fifty - one thousandths}&10)\text{one and eleven hundredths}\\ \hline 11)\text{eight hundredths}&12)\text{seventy and fifty - six thousandths}\\ \hline 13)\text{five hundred and two ten - thousandths}&14)\text{thirty - six ten - thousandths}\\ \hline\end{array}$

Question

Accepted Answer

### 1) $\boldsymbol{\frac{31}{100}}$
# Explanation:
## Step1: Recall fraction to decimal conversion (denominator 100)
A fraction with denominator 100 can be written as a decimal by placing the numerator in the hundredths place. So, $\frac{31}{100}$ means 31 hundredths.
## Step2: Write as decimal
$31\div100 = 0.31$
# Answer:
$0.31$

### 2) $\boldsymbol{\frac{9}{100}}$
# Explanation:
## Step1: Fraction to decimal (denominator 100)
For a fraction with denominator 100, the decimal has the numerator in the hundredths place. $\frac{9}{100}$ is 9 hundredths.
## Step2: Convert to decimal
$9\div100 = 0.09$
# Answer:
$0.09$

### 3) $\boldsymbol{\frac{4}{10,000}}$
# Explanation:
## Step1: Fraction to decimal (denominator 10,000)
A fraction with denominator 10,000 means the numerator is in the ten - thousandths place. We can also think of dividing 4 by 10,000.
## Step2: Perform the division
$4\div10000 = 0.0004$
# Answer:
$0.0004$

### 4) $\boldsymbol{\frac{35}{1,000}}$
# Explanation:
## Step1: Fraction to decimal (denominator 1,000)
A fraction with denominator 1,000 can be converted to a decimal by placing the numerator in the thousandths place. We can also do the division $35\div1000$.
## Step2: Do the division
$35\div1000 = 0.035$
# Answer:
$0.035$

### 5) $\boldsymbol{\frac{1.654}{10,000}}$
# Explanation:
## Step1: Dividing by 10,000
When we divide a number by 10,000, we move the decimal point 4 places to the left.
## Step2: Move the decimal
For 1.654, moving the decimal point 4 places to the left gives 0.0001654.
# Answer:
$0.0001654$

### 6) $\boldsymbol{\frac{1}{10}}$
# Explanation:
## Step1: Fraction to decimal (denominator 10)
A fraction with denominator 10 can be written as a decimal by placing the numerator in the tenths place. So, $\frac{1}{10}$ is 1 tenth.
## Step2: Write as decimal
$1\div10 = 0.1$
# Answer:
$0.1$

### 7) $\boldsymbol{\frac{6}{1,000}}$
# Explanation:
## Step1: Fraction to decimal (denominator 1,000)
A fraction with denominator 1,000 means the numerator is in the thousandths place. We can also calculate $6\div1000$.
## Step2: Calculate the division
$6\div1000 = 0.006$
# Answer:
$0.006$

### 8) $\boldsymbol{\frac{3}{10}}$
# Explanation:
## Step1: Fraction to decimal (denominator 10)
A fraction with denominator 10 is equivalent to a decimal where the numerator is in the tenths place. So, $\frac{3}{10}$ is 3 tenths.
## Step2: Write as decimal
$3\div10 = 0.3$
# Answer:
$0.3$

### 9) two hundred fifty - one thousandths
# Explanation:
## Step1: Understand place value
Thousandths place means the denominator is 1000. So two hundred fifty - one thousandths is $\frac{251}{1000}$.
## Step2: Convert to decimal
$251\div1000 = 0.251$
# Answer:
$0.251$

### 10) one and eleven hundredths
# Explanation:
## Step1: Break down the number
"One" is the whole number part (1). "Eleven hundredths" is $\frac{11}{100}=0.11$.
## Step2: Combine the parts
Adding the whole number and the decimal part: $1 + 0.11=1.11$
# Answer:
$1.11$

### 11) eight hundredths
# Explanation:
## Step1: Understand the fraction
Eight hundredths is $\frac{8}{100}$.
## Step2: Convert to decimal
$8\div100 = 0.08$
# Answer:
$0.08$

### 12) seventy and fifty - six thousandths
# Explanation:
## Step1: Break down the number
"Seventy" is the whole number part (70). "Fifty - six thousandths" is $\frac{56}{1000}=0.056$.
## Step2: Combine the parts
Adding the whole number and the decimal part: $70+0.056 = 70.056$
# Answer:
$70.056$

### 13) five hundred and two ten - thousandths
# Explanation:
## Step1: Break down the number
"Five hundred" is the whole number part (500). "Two ten - thousandths" is $\frac{2}{10000}=0.0002$.
## Step2: Combine the parts
Adding the whole number and the decimal part: $500+0.0002 = 500.0002$
# Answer:
$500.0002$

### 14) thirty - six ten - thousandths
# Explanation:
## Step1: Understand the fraction
Thirty - six ten - thousandths is $\frac{36}{10000}$.
## Step2: Convert to decimal
$36\div10000 = 0.0036$
# Answer:
$0.0036$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

1) $\boldsymbol{\frac{31}{100}}$

Step1: Recall fraction to decimal conversion (denominator 100)

Step2: Write as decimal

Step1: Fraction to decimal (denominator 100)

Step2: Convert to decimal

Step1: Fraction to decimal (denominator 10,000)

Step2: Perform the division

Answer:

2) $\boldsymbol{\frac{9}{100}}$