Detailed Solutions to Practice #2

Detailed Solutions to Practice #2

If you had difficulty with any of the items in this practice, read the detailed solutions given on this page. You can either scroll through all the solutions or select the specific one you wish to view. (click on the one you want to view)

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Write each of the following numerically.
Item 1a: five and five hundredths is 5.05
In this solution we demonstrate how this is determined using the steps outlined in the unit.

Look at the ending of the statement. See if it indicates there will be a decimal.
The statement ends in hundredths, so there is a decimal in this number.
Look to see if there is an 'and' in the statement. If there is an 'and', then there is a whole number to the left of the decimal. Write this number out and add a decimal on the end. If there is no 'and', move on to step 3.
The The statement in front of the 'and' is five. We write this as: 5.
Now note the ending, which represents the decimal place in which the decimal will end. Mark out some blanks for each place that will be filled to the right of the decimal.

The statement ends in hundredths. This means that the last place occupied will be two places to the right of the decimal.

Look at the number that appears after the decimal, and write it out so that the last digit appears in the last place marked off in step 3.

The number that appears after the decimal is five. This means that the number 5 is placed after the decimal. It is in the hundredths place.

If there are any spaces between the decimal and the number to the right of the decimal, add zeros as place holders.

In the diagram above, we can see that the tenths place is still empty. This means we need to add a zero as a place holder.
After adding the correct number of place holders, we find the number five and five hundredths written as a number is shown on the right.	5.05

Item 1b: sixteen ten thousandths is .0016.
In this solution we demonstrate how this is determined using the steps outlined in the unit.

Look at the ending of the statement. See if it indicates there will be a decimal.
The statement ends in thousandths, so there is a decimal in this number.
Look to see if there is an 'and' in the statement. If there is an 'and', then there is a whole number to the left of the decimal. Write this number out and add a decimal on the end. If there is no 'and', move on to step 3.
Notice that in the statement sixteen ten thousandths there is no and. This means that there is no whole number to the left of the decimal, so we move on to step 3.
Now note the ending, which represents the decimal place in which the decimal will end. Mark out some blanks for each place that will be filled to the right of the decimal.

The ending here is ten thousandths. This means that the last place is four places to the right of the decimal.
Look at the number that appears after the decimal, and write it out so that the last digit appears in the last place marked off in step 3.

The number given is sixteen. We write this out so that the 6 is in the ten thousandths place.

If there are any spaces between the decimal and the number to the right of the decimal, add zeros as place holders.

If we look at the diagram above, we see that we will need two place holders between the decimal point and the 16. After adding these in, we get the number shown on the right

.0016

Write out each decimal in words.
Item 2a: 2.06 is written out as two and six hundredths
In this solution we demonstrate how this is determined using the steps outlined in the unit.
1. Look to see if there is a number to the left of the decimal, if so write it out. If there is no number to the left of the decimal, skip to step 3.
  There is a number to the left of the decimal. It is 2. This is written out as: two
2. Write an 'and' for the decimal point.
  After adding the 'and' we have: two and
3. Look at the number to the right of the decimal, and write it out. Do not yet include the place value.
  In 2.06, the number to the right of the decimal is 6. This is written: six
4. Determine the place value of the last digit to the right of the decimal. Write the place value.
  
  The last digit in 2.06 is the 6. It is two places to the right of the decimal in the hundredths place.
  
  If we put together the statements from steps 2 and 3 with the place value, we have:
  two and six hundredths
Item 2b: 0.007 is written as seven thousandths.
In this solution we demonstrate how this is determined using the steps outlined in the unit.
1. Look to see if there is a number to the left of the decimal; if so write it out. If there is no number to the left of the decimal, skip to step 3.
  There is no number to the right of the decimal, so we can skip to step 3.
1. Look at the number to the right of the decimal, and write it out. Do not yet include the place value.
  In 0.007, the number to the right of the decimal is 7. This is written: seven
2. Determine the place value of the last digit to the right of the decimal. Write the place value.
  
  The last digit in 0.007 is a 7. It is three places to the right of the decimal in the thousandths place
  
  If we put together the statement from step 3 with the place value, we have:
  seven thousandths
IMPORTANT: If you feel comfortable with the material in this unit, move on to the next unit. If, after reviewing this section, you still feel uncomfortable with this material, you may need more help than is provided in this book. Contact your professor for additional resources on this topic.