Section 1
Decimal Notation and Rounding
a. A ____________ fraction is a fraction whose denominator is a power of 10 .b. The first three place values to the right of the decimal point are the __________ place, the _____________ place, and the ___________ place.
State the first five place values to the right of the decimal point in order from left to right.
Expand the powers of 10 or $\frac{1}{10}$.$$10^{2}$$
Expand the powers of 10 or $\frac{1}{10}$.$$10^{3}$$
Expand the powers of 10 or $\frac{1}{10}$.$$10^{4}$$
Expand the powers of 10 or $\frac{1}{10}$.$$10^{5}$$
Expand the powers of 10 or $\frac{1}{10}$.$$\left(\frac{1}{10}\right)^{2}$$
Expand the powers of 10 or $\frac{1}{10}$.$$\left(\frac{1}{10}\right)^{3}$$
Expand the powers of 10 or $\frac{1}{10}$.$$\left(\frac{1}{10}\right)^{4}$$
Expand the powers of 10 or $\frac{1}{10}$.$$\left(\frac{1}{10}\right)^{5}$$
Identify the place value of each underlined digit.$$3.983$$
Identify the place value of each underlined digit.$$34.82$$
Identify the place value of each underlined digit.$$440.39$$
Identify the place value of each underlined digit.$$248.94$$
Identify the place value of each underlined digit.$$4 \underline{89.02}$$
Identify the place value of each underlined digit.$$4.09284$$
Identify the place value of each underlined digit.$$-9.28345$$
Identify the place value of each underlined digit.$$-0.321$$
Identify the place value of each underlined digit.$$0.489$$
Identify the place value of each underlined digit.$$5 \underline{8} .211$$
Identify the place value of each underlined digit.$$-9 \underline{3} .834$$
Identify the place value of each underlined digit.$$-5.00000 \underline{1}$$
Write the word name for each decimal fraction.$$\frac{9}{10}$$
Write the word name for each decimal fraction.$$\frac{7}{10}$$
Write the word name for each decimal fraction.$$\frac{23}{100}$$
Write the word name for each decimal fraction.$$\begin{array}{l}19 \\\hline 100\end{array}$$
Write the word name for each decimal fraction.$$-\frac{33}{1000}$$
Write the word name for each decimal fraction.$$-\frac{51}{1000}$$
Write the word name for each decimal fraction.$$\frac{407}{10,000}$$
Write the word name for each decimal fraction.$$\frac{20}{10,000}$$
Write the word name for each decimal fraction.$$3.24$$
Write the word name for each decimal fraction.$$4.26$$
Write the word name for each decimal fraction.$$-5.9$$
Write the word name for each decimal fraction.$$-3.4$$
$$52.3$$
Write the word name for each decimal fraction.$$21.5$$
Write the word name for each decimal fraction.$$6.219$$
Write the word name for each decimal fraction.$$7.338$$
Write the word name for the decimal.Negative eight thousand, four hundred seventy-two and fourteen thousandths
Write the word name for the decimal.Negative sixty thousand, twenty-five and four hundred one ten-thousandths
Write the word name for the decimal.Seven hundred and seven hundredths
Write the word name for the decimal.Nine thousand and nine thousandths
Write the word name for the decimal.Negative two million, four hundred sixty-nine thousand and five hundred six thousandths
Write the word name for the decimal.Negative eighty-two million, six hundred fourteen and ninety-seven ten-thousandths
Write the decimal as a proper fraction or as a mixed number and simplify.$$3.7$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$1.9$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$2.8$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$4.2$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$0.25$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$0.75$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-0.55$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-0.45$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$20.812$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$32.905$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-15.0005$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-4.0015$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$8.4$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$2.5$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$3.14$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$5.65$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-23.5$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$-14.6$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$11.91$$
Write the decimal as a proper fraction or as a mixed number and simplify.$$21.33$$
Fill in the blank with $<$ or $>$.$$6.312 \square 6.321$$
Fill in the blank with $<$ or $>$.$$8.503 \square 8.530$$
Fill in the blank with $<$ or $>$.$$11.21 \square 11.2099$$
Fill in the blank with $<$ or $>$.$$10.51 \square 10.5098$$
Fill in the blank with $<$ or $>$.$$-0.762 \square-0.76$$
Fill in the blank with $<$ or $>$.$$-0.1291 \square-0.129$$
Fill in the blank with $<$ or $>$.$$-51.72 \square-51.721$$
Fill in the blank with $<$ or $>$.$$-49.06 \square-49.062$$
Which number is between 3.12 and 3.13 ? Circle all that apply.a. 3.127b. 3.129c. 3.134d. 3.139
Which number is between 42.73 and $42.86 ?$ Circle all that apply.a. 42.81b. 42.64c. 42.79d. 42.85
The batting averages for five baseball legends are given in the table. Rank the players' batting averages from lowest to highest. (Source: Baseball Almanac)$$\begin{array}{l|c}\hline \text { Player } & \text { Average } \\\hline \text { Joe Jackson } & 0.3558 \\\hline \text { Ty Cobb } & 0.3664 \\\hline \text { Lefty O'Doul } & 0.3493 \\\hline \text { Ted Williams } & 0.3444 \\\hline \text { Roger Hornsby } & 0.3585 \\\hline\end{array}$$
The average speed, in miles per hour (mph), of the Daytona 500 for selected years is given in the table. Rank the speeds from slowest to fastest. (Source: NASCAR)$$\begin{array}{l|l|c}\hline \text { Year } & \text { Driver } & \text { Speed (mph) } \\\hline 1989 & \text { Darrell Waltrip } & 148.466 \\\hline 1991 & \text { Ernie Irvan } & 148.148 \\\hline 1997 & \text { Jeff Gordon } & 148.295 \\\hline 2007 & \text { Kevin Harvick } & 149.333 \\\hline\end{array}$$
The numbers given all have equivalent value. However, suppose they represent measured values from a scale. Explain the difference in the interpretation of these numbers.$$\begin{array}{llll}0.25, & 0.250, & 0.2500, & 0.25000\end{array}$$
Which number properly represents 3.499999 rounded to the thousandths place?a. 3.500b. 3.5c. 3.500000d. 3.499
Which value is rounded to the nearest tenth, 7.1 or $7.10 ?$
Which value is rounded to the nearest hundredth, 34.50 or $34.5 ?$
Round the decimals to the indicated place values.$$49.943 ; \text { tenths }$$
Round the decimals to the indicated place values.$$\text { 12.7483; tenths }$$
Round the decimals to the indicated place values.$$33.416 \text { ; hundredths }$$
Round the decimals to the indicated place values.$$4.359 ; \text { hundredths }$$
Round the decimals to the indicated place values.$$-9.0955 ; \text { thousandths }$$
Round the decimals to the indicated place values.$$-2.9592 ; \text { thousandths }$$
Round the decimals to the indicated place values.$$21.0239 ; \text { tenths }$$
Round the decimals to the indicated place values.$$16.804 \text { ; hundredths }$$
Round the decimals to the indicated place values.$$6.9995 \text { ; thousandths }$$
Round the decimals to the indicated place values.$$\text { 21.9997; thousandths }$$
Round the decimals to the indicated place values.$$0.0079499 \text { ; ten-thousandths }$$
Round the decimals to the indicated place values.$$0.00084985 \text { ; ten-thousandths }$$
A snail moves at a rate of about 0.00362005 miles per hour. Round the decimal value to the ten-thousandths place.
Round the number to the indicated place value.$$\begin{array}{l|l|l|l|l|l|l}\hline & \text { Number } & \text { Hundreds } & \text { Tens } & \text { Tenths } & \text { Hundredths } & \text { Thousandths } \\\hline \text { 94. } & 349.2395 & & & & & \\\hline \text { 95. } & 971.0948 & & & & & \\\hline \text { 96. } & 79.0046 & & & & & \\\hline \text { 97. } & 21.9754 & & & & & \\\hline\end{array}$$
What is the least number with three places to the right of the decimal that can be created with the digits $2,9,$ and $7 ?$ Assume that the digits cannot be repeated.
What is the greatest number with three places to the right of the decimal that can be created from the digits $2,9,$ and $7 ?$ Assume that the digits cannot be repeated.