Section 5.1 Part 1: Naming Decimals and Converting Decimals to Fractions

Write "seven and four thousand, three hundred twenty-four ten-thousandths" as a decimal. Provide your answer below:

We use the word "and" to represent a decimal point. The words before "and" translate to 7 so we write 7 to the left of the decimal point. 7. The place value indicated by the last word is the ten-thousandths place, so we should mark off four spaces to the right of the decimal point. 7. The words to the right of "and" translate to 4324. Placing the digits of 4324 into the spaces, with the final digit in the last place, and filling in the empty spaces with zeros gives 7.4−−−3−−−2−−−4−−−, so seven and four thousand, three hundred twenty-four ten-thousandths is written 7.4324.

Write −0.676 as a fraction in lowest terms.

−169/250

Write −0.772 as a fraction in lowest terms.

−193/250

Write −0.0416 as a fraction in lowest terms.

−26/625

Write −0.938 as a fraction in lowest terms.

−469/500

Name the decimal: 0.69

sixty nine hunddredths

Write "zero and two hundred sixty-six ten-thousandths" as a decimal.

0.0266

Write as a decimal: fifty-eight thousandths.

0.058

Write "zero and five hundred one thousandths" as a decimal.

0.501

Write "eleven and twenty-one hundredths" as a decimal.

11.21. We use the word "and" to represent a decimal point. The words before "and" translate to 11 so we write 11 to the left of the decimal point. 11. The place value indicated by the last word is the hundredths place, so we should mark off two spaces to the right of the decimal point. 11. The words to the right of "and" translate to 21. Placing the digits of 21 into the spaces, with the final digit in the last place, and filling in the empty spaces with zeros gives 11.2−−−1−−−, so eleven and twenty-one hundredths is written 11.21.

Write "twelve and forty-seven ten-thousandths" as a decimal.

12.0047. We use the word "and" to represent a decimal point. The words before "and" translate to 12 so we write 12 to the left of the decimal point. 12. The place value indicated by the last word is the ten-thousandths place, so we should mark off four spaces to the right of the decimal point. 12. The words to the right of "and" translate to 0047. Placing the digits of 0047 into the spaces, with the final digit in the last place, and filling in the empty spaces with zeros gives 12.0−−−0−−−4−−−7−−−, so twelve and forty-seven ten-thousandths is written 12.0047.

Write as a decimal: thirteen and sixty-eight hundredths.

13.68

Write "negative eleven and twenty-seven thousandths" as a decimal.

We use the word "and" to represent a decimal point. The words before "and" translate to −11 so we write −11 to the left of the decimal point. −11. The place value indicated by the last word is the thousandths place, so we should mark off three spaces to the right of the decimal point.−11.The words to the right of "and" translate to 027. Placing the digits of 027 into the spaces, with the final digit in the last place, and filling in the empty spaces with zeros gives−11.0−−−2−−−7−−−,so negative eleven and twenty-seven thousandths is written −11.027.

Name the decimal: 0.059

fifty-nine thousandths Since the number to the left of the decimal is zero we can omit it. The number to the right of the decimal place is fifty-nine. Since the decimal place of the last digit is thousandths, the name of the decimal is "fifty-nine thousandths."

Name the decimal: 0.4446

four thousand, four hundred forty-six ten-thousandths Since the number to the left of the decimal is zero we can omit it. The number to the right of the decimal place is four thousand, four hundred forty-six. Since the decimal place of the last digit is ten-thousandths, the name of the decimal is "four thousand, four hundred forty-six ten-thousandths." FEEDBACK

Name the decimal: −6.09

neg six and nine hundreths

Name the decimal: −1.0268

negative one and two hundred sixty-eight ten-thousandths We use the word "and" to represent the decimal point. The number to the left of the decimal is negative one and the number to the right of the decimal place is two hundred sixty-eight. Since the decimal place of the last digit is ten-thousandths, the name of the decimal is "negative one and two hundred sixty-eight ten-thousandths."

Name the decimal: 0.009

nine thousandths Since the number to the left of the decimal is zero we can omit it. The number to the right of the decimal place is nine. Since the decimal place of the last digit is thousandths, the name of the decimal is "nine thousandths."