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Chapter 5: Problem 2

State the first five place positions to the right of the decimal point in order from left to right.

Short Answer

Expert verified
Tenths, hundredths, thousandths, ten-thousandths, hundred-thousandths.

Step by step solution

01

- Understanding Decimal Place Values

Identify the positions to the right of the decimal point. These positions help determine the accuracy of numbers in calculations.
02

- Identify the First Position

The first position to the right of the decimal point is called the 'tenths' place.
03

- Identify the Second Position

The second position to the right of the decimal point is called the 'hundredths' place.
04

- Identify the Third Position

The third position to the right of the decimal point is called the 'thousandths' place.
05

- Identify the Fourth Position

The fourth position to the right of the decimal point is called the 'ten-thousandths' place.
06

- Identify the Fifth Position

The fifth position to the right of the decimal point is called the 'hundred-thousandths' place.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

tenths place
The first position to the right of the decimal point is known as the 'tenths place', represented by the digit immediately after the decimal. This place indicates how many tenths are in a number. For instance, in the number 3.4, the 4 is in the tenths place, meaning it is four tenths (or 0.4). Understanding the tenths place is crucial because it鈥檚 the foundation of decimal fractions.
hundredths place
The second position to the right of the decimal point is the 'hundredths place'. This indicates the number of hundredths in a value. For example, in the number 5.67, the 6 is in the tenths place, and the 7 in the hundredths place. This means there are seven hundredths (or 0.07) in this number. Each step right of the decimal increases precision and helps in detailed calculations.
thousandths place
Moving another place to the right, the 'thousandths place' is the third position after the decimal point. It tells us how many thousandths are in a number. For instance, in 8.123, the last digit 3 is in the thousandths place, showing there are three thousandths (or 0.003) in the value. As the decimal places move further right, the numbers represent increasingly smaller fractions.
ten-thousandths place
The fourth position to the right of the decimal point is called the 'ten-thousandths place'. This place value indicates the number of ten-thousandths in a figure. For example, in 9.1234, the 4 occupies the ten-thousandths place, representing four ten-thousandths (or 0.0004). Precision increases with each decimal place, making it essential for scientific and financial calculations.
hundred-thousandths place
Finally, the fifth position to the right of the decimal point is the 'hundred-thousandths place'. This place demonstrates the number of hundred-thousandths in a number. For example, in 7.12345, the 5 is in the hundred-thousandths place, meaning five hundred-thousandths (or 0.00005). The more decimal places, the finer the precision of the measurement or calculation.

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Most popular questions from this chapter

Water flows into a pool at a constant rate. The water level is recorded at several 1-hr intervals. a. From the table, how many inches is the water level rising each hour? b. At this rate, what will the water level be at 1: 00 PM.? c. At this rate, what will the water level be at 3.00 p.M.? $$\begin{array}{c|c} \text { Time } & \text { Water Level } \\ \hline 9: 00 \mathrm{A} . \mathrm{M} & 4.2 \mathrm{in} . \\ \hline 10: 00 \mathrm{A} \ldots & 5.9 \mathrm{in} . \\ \hline 11.00 \mathrm{A} \ldots & 7.6 \mathrm{in} . \\ \hline 12.00 \mathrm{em} . & 9.3 \mathrm{in.} \\ \hline \end{array}$$

For Exercises \(85-90,\) refer to the table. The table gives the closing stock prices (in dollars per share) for the first day of trading for the given month. $$\begin{array}{l|c|c|c|c|c} \text { Stock } & \text { January } & \text { February } & \text { March } & \text { April } & \text { May } \\ \hline \text { IBM } & \$ 97.27 & \$ 99.00 & \$ 92.27 & \$ 95.21 & \$ 103.17 \\\ \hline \text { FedEx } & \$ 109.77 & \$ 111.89 & \$ 114.16 & \$ 106.07 & \$ 106.11 \\ \hline \end{array}$$ Between which two consecutive months did the IBM stock increase the most? What was the amount of increase?

For Exercises \(59-66,\) simplify the expressions. $$(0.2)^{3}$$

One megawatt (MW) of wind power produces enough electricity to supply approximately 275 homes. For a recent year, the state of Texas produced \(3352 \mathrm{MW}\) of wind power. (Source: American Wind Energy Association) a. About how many homes can be supplied with electricity using wind power produced in Texas? b. The given table outlines new proposed wind power projects in Texas. If these projects are completed, approximately how many additional homes could be supplied with electricity? $$\begin{array}{l|c} \text { Project } & \text { MW } \\ \hline \text { JD Wind IV } & 79.8 \\ \hline \text { Buffalo Gap, Phase II } & 232.5 \\ \hline \text { Lone Star I (3Q) } & 128 \\ \hline \text { Sand Bluff } & 90 \\ \hline \text { Roscoe } & 209 \\ \hline \text { Barton Chapel } & 120 \\ \hline \text { Stanton Wind Energy Center } & 120 \\ \hline \text { Whirlwind Energy Center } & 59.8 \\ \hline \text { Swcetwater V } & 80.5 \\ \hline \text { Champion } & 126.5 \\ \hline \end{array}$$

Solve the application. Check to see if your answers are reasonable. In baseball, the batting average is found by dividing the number of hits by the number of times a batter was at bat. Babe Ruth had 2873 hits in 8399 times at bat. What was his batting average? Round to the thousandths place.
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