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Fractions and decimals represent the same thing but are written out differently. For example, the fraction for *five and seven tenths* would look like: 5 ^{7}⁄_{10}. The decimal for *five and seven tenths* would look like: 5.7. If the number is *ten and four one-hundredths* then the fraction would look like

10 ^{4}⁄_{100}. As a decimal it would look like 10.04.

1.

For the fraction sentence below, find the correct decimal that will match up.

Forty-six and one tenth + Eleven and two tenths

Forty-six and one tenth + Eleven and two tenths

46.1 + 11.2

46.01 + 11.02

46.001 + 11.002

46.1/10 + 11.2/10

Forty-six tells us we have 4 tens and 6 units. The 4 tens must go two digits to the left of the decimal. The 6 units need to go one digit to the left of the decimal. The one tenth needs to go one digit to the right of the decimal. Now looking at Eleven we know we have 1 ten which needs to go two digits to the right of the decimal and 1 unit which needs to go one digit to the left of the decimal. Two tenths tell us that we must go one digit to the right of the decimal. Finally, we are adding the two numbers. Knowing the position of each number we then get 46.1 + 11.2

2.

For the fraction sentence below, find the correct decimal that will match up.

Twelve + Fifteen and four thousandths

Twelve + Fifteen and four thousandths

12 + 15.0004

12 + 15.4/1000

12 + 15.4000

12 + 15.004

Twelve tells us we have 1 ten and 2 units. The 1 ten must go two digits to the left of the decimal. The 2 units need to go one digit to the left of the decimal. The number Fifteen tells us we have 1 ten and 5 units. Here the 1 ten goes two digits to the left of the decimal and the 5 units goes digit to the left of the decimal. The four thousands tell us the number must go three digits to the right of the decimal. Note that we are adding the two numbers. Knowing the position of each number we then get 12 + 15.004

3.

For the fraction sentence below, find the correct decimal that will match up.

Three and eight tenths + five and four tenths + twenty-nine and one hundredth

Three and eight tenths + five and four tenths + twenty-nine and one hundredth

3.8 + 5.4 + 29.1

3.8 + 5.4 + 29.01

3.8 + 5.04 + 29.001

3.8/10 + 5.4/10 + 29.1/100

Three tells us we have 3 units and must go one digit to the left of the decimal. The 8 tenths must go one digit to the right of the decimal. The number five tells us we have 5 units and the number will go one digit to the left of the decimal. The 4 tenths will then go one digit to the right of the decimal. Our final number is twenty-nine which tells us we have 2 tens that will go two digits to the left of the decimal, 9 units that will go one digit to the left of the decimal and one hundredth that will need to go two digits to the right of the decimal. Next we need to note that all numbers are being added. Knowing the position of each number we then get 3/8 + 5/4 + 29.01

4.

For the fraction sentence below, find the correct decimal that will match up.

Seventy-Four and three tenths - Sixty-four and three tenths

Seventy-Four and three tenths - Sixty-four and three tenths

74.3 - 64.3

74.03 + 64.03

74.003 - 64.003

74.3 + 64.3

Seventy-four tells us we have 7 tens and 4 units. The 7 tens must go two digits to the left of the decimal. The 4 units need to go one digit to the left of the decimal. The three tenths need to go one digit to the right of the decimal. Now looking at Sixty-four we have 6 tens which will go two digits to the left of the decimal and 4 units which will go one digit to the left of the decimal. The three tenths tell us the number must go one digit to the right of the decimal. Finally, we are subtracting the two numbers. Knowing the position of each number we then get 74.3 - 64.3

5.

For the fraction sentence below, find the correct decimal that will match up.

Fifty-nine and six one thousandths

Fifty-nine and six one thousandths

59.6000

59.6/1000

59.0006

59.006

Fifty-nine is the same as 5 tens and 9 units. As we have 5 ten, the number goes two digits to the left of a decimal. The 9 units then is placed one digit to the left of the decimal. The number six one thousandths tells us it must go three digits to the right of the decimal. Knowing the position of each number we then get 59.006

6.

For the fraction sentence below, find the correct decimal that will match up.

One thousand Five Hundred Sixty-four and two hundredths

One thousand Five Hundred Sixty-four and two hundredths

1,564.002

1,564.0002

1,564.2/100

1,564.02

This number tells us we have 1 thousand which goes four digits to the left of a decimal. We also have 5 hundreds which goes three digits to the left of a decimal. Sixty tells us we have 6 tens which goes two digits to the left of a decimal and 4 units tells us the number goes one digit to the left of a decimal. Finally, we have 2 hundredths which tells us the number goes two digits to the right of a decimal. Knowing the placement of each number we then get 1,564.02

7.

For the fraction sentence below, find the correct decimal that will match up.

Seventy-three and three thousandths + Thirteen and two tenths - Eighty and Eight hundredths

Seventy-three and three thousandths + Thirteen and two tenths - Eighty and Eight hundredths

73.003 + 13.2 + 80.08

73.3/100 + 13.2/10 + 80.08/100

73.003 + 13.2 - 80.08

73.03 + 13.2 + 80.008

Seventy-three tells us we have 7 tens that will go two digits to the left of a decimal and 3 units that will go one digit to the left of a decimal. We also have three thousandths that tell us the number must go three digits to the right of the decimal. Next the number thirteen tells us we have one ten that will go two digits to the left of the decimal and 3 units that will go one digit to the left of the decimal. The two tenths tell us the number will go one digit to the right of the decimal. With the number eighty we know we have 8 tens which will go two digits to the left of the decimal and 0 units will go one digit to the left of the decimal. The 8 hundredths will go two digits to the right of the decimal. We must then take note that this problem has us doing addition and subtraction. Knowing the position of each number we then get 73.003 + 13.2 - 80.08

8.

For the fraction sentence below, find the correct decimal that will match up.

Eighty-two and five one hundredths

Eighty-two and five one hundredths

82.05

82.500

82.5/100

82.005

Eighty-two tells us we have 8 tens and 2 units. The 8 tens must go two digits to the left of the decimal. The 2 units need to go one digit to the left of the decimal. The five hundredths tell us the number must go two digits to the right of the decimal. Knowing the position of each number we then get 82.05

9.

For the fraction sentence below, find the correct decimal that will match up.

One hundred and three tenths

One hundred and three tenths

100.03

100.3

100.3/10

100.003

Numbers stated as 'units', 'tens', 'hundreds' and 'thousands' are listed to the left of a decimal while numbers listed as 'tenths', 'hundredths' and 'thousandths' are listed to the right of a decimal. One hundred lets us know the number goes three digits to the left of the decimal or 100. Three tenths lets us know that the number goes one digit to the right of the decimal or .3

10.

For the fraction sentence below, find the correct decimal that will match up.

Sixty-Seven and eight tenths - Twenty-four and seven one hundredths

Sixty-Seven and eight tenths - Twenty-four and seven one hundredths

67.8 + 24.7

67.08 - 24.007

67.8 - 24.07

67.8/10 - 24.7/100

Sixty-Seven tells us we have 6 tens and 7 units. The 6 tens must go two digits to the left of the decimal. The 7 units need to go one digit to the left of the decimal. The eight tenths need to go one digit to the right of the decimal. Now looking at Twenty-four we have 2 tens which will go two digits to the left of the decimal and 4 units which will go one digit to the left of the decimal. The seven hundredths tell us the number must go two digits to the right of the decimal. Finally, we are subtracting the two numbers. Knowing the position of each number we then get 67.8 - 24.07