QuestionConvert the following values to decimals: 35 thousandths, 9.235, 805 thousandths, $\frac{8}{1000}$ , $\frac{28}{1000}$ , $7 \frac{528}{1000}$ , $300 \frac{502}{1000}$ . Also, express 0.008, 15.062, 607.409 in words and show 27.346 in expanded notation.

Studdy Solution

STEP 1

Assumptions1. We are given a list of fractions and whole numbers with fractions that we need to convert into decimal numerals. . We are given a list of decimal numerals that we need to convert into words.
3. We are given a decimal numeral that we need to express on a place value chart and in expanded notation.

STEP 2

Let's start by converting the fractions and whole numbers with fractions into decimal numerals.
b. Thirty-five thousandths can be written as a decimal by placing the number35 in the thousandths place.
$0.035$

STEP 3

c. Nine and two hundred thirty-five thousandths can be written as a decimal by placing the number9 in the ones place and the number235 in the thousandths place.
$9.235$

STEP 4

d. Eight hundred and five thousandths can be written as a decimal by placing the number800 in the ones place and the number in the thousandths place.
$800.005$

STEP 5

e. $\frac{8}{1000}$ can be written as a decimal by dividing8 by1000.
$0.008$

STEP 6

f. $\frac{28}{1000}$ can be written as a decimal by dividing28 by1000.
$0.028$

STEP 7

g. $7 \frac{528}{1000}$ can be written as a decimal by placing the number7 in the ones place and dividing528 by1000 to get the decimal part.
$7.528$

STEP 8

h. $300 \frac{502}{1000}$ can be written as a decimal by placing the number300 in the ones place and dividing502 by1000 to get the decimal part.
$300.502$

STEP 9

Now, let's convert the given decimal numerals into words.
a..008 can be written as eight thousandths.
b.15.062 can be written as fifteen and sixty-two thousandths.
c.607.409 can be written as six hundred seven and four hundred nine thousandths.

STEP 10

Finally, let's express the given decimal numeral on a place value chart and in expanded notation.
a.27.346 can be written as follows\begin{tabular}{|c|c|c|c|c|c|} \hlineens & Ones & & Tenths & Hundredths & Thousandths \\ \hline2 &7 & &3 &4 &6 \\ \hline\end{tabular}
$\begin{array}{l} 27.346=(2 \times10)+(7 \times)+\left(3 \times \frac{}{10}\right)+\left(4 \times \frac{}{100}\right)+\left(6 \times \frac{}{1000}\right) \text { or } \\ 27.346=(2 \times10)+(7 \times)+(3 \times0.)+(4 \times0.01)+(6 \times0.001) \end{array}$

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QuestionConvert the following values to decimals: 35 thousandths, 9.235, 805 thousandths, $\frac{8}{1000}$ , $\frac{28}{1000}$ , $7 \frac{528}{1000}$ , $300 \frac{502}{1000}$ . Also, express 0.008, 15.062, 607.409 in words and show 27.346 in expanded notation.

Studdy Solution

STEP 1

STEP 2

Let's start by converting the fractions and whole numbers with fractions into decimal numerals.
b. Thirty-five thousandths can be written as a decimal by placing the number35 in the thousandths place.
$0.035$

STEP 3

c. Nine and two hundred thirty-five thousandths can be written as a decimal by placing the number9 in the ones place and the number235 in the thousandths place.
$9.235$

STEP 4

d. Eight hundred and five thousandths can be written as a decimal by placing the number800 in the ones place and the number in the thousandths place.
$800.005$

STEP 5

e. $\frac{8}{1000}$ can be written as a decimal by dividing8 by1000.
$0.008$

STEP 6

f. $\frac{28}{1000}$ can be written as a decimal by dividing28 by1000.
$0.028$

STEP 7

g. $7 \frac{528}{1000}$ can be written as a decimal by placing the number7 in the ones place and dividing528 by1000 to get the decimal part.
$7.528$

STEP 8

h. $300 \frac{502}{1000}$ can be written as a decimal by placing the number300 in the ones place and dividing502 by1000 to get the decimal part.
$300.502$

STEP 9

Now, let's convert the given decimal numerals into words.
a..008 can be written as eight thousandths.
b.15.062 can be written as fifteen and sixty-two thousandths.
c.607.409 can be written as six hundred seven and four hundred nine thousandths.

STEP 10

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Studdy Solution

STEP 1

STEP 2

Let's start by converting the fractions and whole numbers with fractions into decimal numerals.b. Thirty-five thousandths can be written as a decimal by placing the number35 in the thousandths place.0.0350.0350.035

STEP 3

c. Nine and two hundred thirty-five thousandths can be written as a decimal by placing the number9 in the ones place and the number235 in the thousandths place.9.2359.2359.235

STEP 4

d. Eight hundred and five thousandths can be written as a decimal by placing the number800 in the ones place and the number in the thousandths place.800.005800.005800.005

STEP 5

e. 81000\frac{8}{1000}10008​ can be written as a decimal by dividing8 by1000.0.0080.0080.008

STEP 6

f. 281000\frac{28}{1000}100028​ can be written as a decimal by dividing28 by1000.0.0280.0280.028

STEP 7

g. 752810007 \frac{528}{1000}71000528​ can be written as a decimal by placing the number7 in the ones place and dividing528 by1000 to get the decimal part.7.5287.5287.528

STEP 8

h. 3005021000300 \frac{502}{1000}3001000502​ can be written as a decimal by placing the number300 in the ones place and dividing502 by1000 to get the decimal part.300.502300.502300.502

STEP 9

Now, let's convert the given decimal numerals into words.a..008 can be written as eight thousandths.b.15.062 can be written as fifteen and sixty-two thousandths.c.607.409 can be written as six hundred seven and four hundred nine thousandths.

STEP 10

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Let's start by converting the fractions and whole numbers with fractions into decimal numerals.
b. Thirty-five thousandths can be written as a decimal by placing the number35 in the thousandths place.
$0.035$

c. Nine and two hundred thirty-five thousandths can be written as a decimal by placing the number9 in the ones place and the number235 in the thousandths place.
$9.235$

d. Eight hundred and five thousandths can be written as a decimal by placing the number800 in the ones place and the number in the thousandths place.
$800.005$

e. $\frac{8}{1000}$ can be written as a decimal by dividing8 by1000.
$0.008$

f. $\frac{28}{1000}$ can be written as a decimal by dividing28 by1000.
$0.028$

g. $7 \frac{528}{1000}$ can be written as a decimal by placing the number7 in the ones place and dividing528 by1000 to get the decimal part.
$7.528$

h. $300 \frac{502}{1000}$ can be written as a decimal by placing the number300 in the ones place and dividing502 by1000 to get the decimal part.
$300.502$

Now, let's convert the given decimal numerals into words.
a..008 can be written as eight thousandths.
b.15.062 can be written as fifteen and sixty-two thousandths.
c.607.409 can be written as six hundred seven and four hundred nine thousandths.