Basic College Mathematics

Mathematics

Quiz 4 :

Decimals

Quiz 4 :

Decimals

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Write each decimal as a fraction or mixed number in lowest terms. 18.4
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To write the decimal number as fractions or mixed numbers we follow the following steps:
Step 1: The digits to the right of the decimal point are the numerator of the fraction.
Step 2: The denominator is 10 for tenths, 100 for hundredths, 1000 for thousandths, 10,000 for ten-thousandths and so on.
Step 3: If the decimal has a whole number part, it will be written as a mixed number with the same whole number part.
Step 4: After we write a decimal as a fraction or a mixed number make sure the fraction is in lowest term.
Here the given decimal number is img .
The digit to the right of the decimal point img , are the numerator of the fraction. The denominator is img because the rightmost digit is in the tenths place. img Therefore img

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Round each decimal to the place indicated. 725.6089 to the nearest tenth
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To round decimal numbers we follow these steps:
Step 1: Find the place to which the rounding is being done. Draw a cut off line after that place to sow that we are cutting off and dropping the rest of digits.
Step 2: Look only at the first digit we are cutting off.
Step 3: If this digit is 4 or less the part of the number we are keeping stays the same and if the digit is 5 or more we must round the part of the number we are keeping.
Step 4: we can use the img symbol to indicate that the rounded number is now an approximation.
We wish to round here the decimal number img to the nearest tenth.
At first we draw a cut-off line after the tenth place. img We are cutting off the img , it will be dropped.
The first digit cut is 4 or less, so the part we are keeping stays the same. img Therefore we can write img .

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Refer to the article. (a) How many pounds of lawn fertilizer are used each year in the entire metro area (b) Do a division on your calculator to find the number of households in the metro area. (c) Why does it make sense to round your answer to part (b) How would you round it
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Consider that the number 499,501
To round 499,501 to nearest thousand:
Observe the digit, which is in the hundred place. 5 is at hundred place.
If 5 or more at hundred place, add 1000 to 499000 to round the nearest thousands.
Therefore, img Thus the nearest thousands of 499,501 is img .

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Name the digit that has the given place value. 896.503 tenths tens
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Solve each application problem.Round each number as indicated. 499,501 to the nearest thousand
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When the average amount of lawn fertilizer per household was calculated, the answer was probably not exactly 36 pounds. List six different values that are less than 36 that would round to 36. List two values with one decimal place; two values with two decimal places; and two values with three decimal places. (b) List six different values that are greater than 36 that would round to 36. List two values each with one, two, and three decimal places.
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Solve each application problem.Round each number as indicated. $0.0528 to the nearest cent
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Name the digit that has the given place value. 20.73861 tenths ten-thousandths
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Write each decimal in words. 60.007
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Write each decimal as a fraction or mixed number in lowest terms. 0.075
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Write each decimal as a fraction or mixed number in lowest terms. 0.5
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Name the digit that has the given place value. 243.059 tenths hundredths
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img There are 2000 pounds in one ton. (a) Find the number of tons equivalent to 25,529,295 pounds of fertilizer. (b) Does your answer match the figure given in the article If not, what did the author of the article do to get 12,765 tons (c) Is the author's figure accurate Why or why not
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Name the digit that has the given place value. 0.6817 ones tenths
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Solve each application problem.Round each number as indicated. $709.60 to the nearest dollar
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Solve each application problem.Round each number as indicated. 602.4937 to the nearest hundredth
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Simplify each expression in Exercises 5-21. 10 - 0.329
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Name the digit that has the given place value. $5824.39 hundreds hundredths
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Write each decimal in words. 0.0208
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Simplify each expression in Exercises 5-21. 2 img img img
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