Computing with Decimals. Adding and Subtracting Decimals.

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Presentation transcript:

Computing with Decimals

Adding and Subtracting Decimals

Line up the decimal points

Line up the decimal points

Fill in with zeros

Fill in with zeros

Add or subtract normally

Add or subtract normally

Place the decimal point under the other decimal points

Place the decimal point under the other decimal points

Line up the decimal points. 12 − 2.46

Line up the decimal points. 12 − has a decimal point hidden behind it.

Line up the decimal points. 12 − − 2.46

Fill in with zeros. 12 − − 2.46

Fill in with zeros. 12 − − 2.46

Add or subtract normally. 12 − − 2.46

Add or subtract normally. 12 − −

Place the decimal point under the other decimal points. 12 − −

Place the decimal point under the other decimal points. 12 − −

Line up the decimal points − 7.93

Line up the decimal points − −7.93

Fill in with zeros − −7.93

Fill in with zeros − −7.93

Add or subtract normally 15.2 − −7.93

Add or subtract normally 15.2 − −

Place the decimal point under the other decimal points − −

Place the decimal point under the other decimal points − −

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points – 13

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points. 35 – 4.5

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points. 9 – 3.65

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points. 8.4 – 2.13

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points

 Line up the decimal points.  Fill in with zeros.  Add or subtract normally.  Place the decimal point under the other decimal points. 12 – 0.68

Multiplying Decimals

Remove any extra zeros x x x x x x x x 6.3

Remove any extra zeros x x x x x x x x 0.09

Find the number that has the most digits NOT INCLUDING zeros on the front..54 x digits

Find the number that has the most digits NOT INCLUDING zeros on the front..064 x digits3 digits

Find the number that has the most digits NOT INCLUDING zeros on the front. 340 x.5 3 digits1 digit

Find the number that has the most digits NOT INCLUDING zeros on the front x digits2 digits

Find the number that has the most digits NOT INCLUDING zeros on the front..7 x digit3 digits

Find the number that has the most digits NOT INCLUDING zeros on the front..003 x digit2 digits

Find the number that has the most digits NOT INCLUDING zeros on the front. 500 x digits2 digits

Remove any extra zeros x 0.2

Remove any extra zeros x 0.2

Find the number that has the most digits NOT INCLUDING zeros on the front x 0.2

Find the number that has the most digits NOT INCLUDING zeros on the front x digits

Find the number that has the most digits NOT INCLUDING zeros on the front x digits1 digit

Put that number on top lining up the right side of the problem x digits1 digit

Put that number on top lining up the right side of the problem..4 7 x.2

Multiply normally..4 7 x.2

Multiply normally..4 7 x.2 9 4

Count the total number of decimal places in the problem..4 7 x.2 9 4

Count the total number of decimal places in the problem..4 7 x decimal places

Count the total number of decimal places in the problem..4 7 x decimal places +1 decimal place

Count the total number of decimal places in the problem..4 7 x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer..4 7 x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer..4 7 x decimal places +1 decimal place 3 decimal places 1 decimal place

Put that many decimal places in the answer..4 7 x decimal places +1 decimal place 3 decimal places 2 decimal places

Put that many decimal places in the answer..4 7 x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer..4 7 x

Remove any extra zeros x 0.004

Remove any extra zeros x 0.004

Find the number that has the most digits NOT INCLUDING zeros on the front x 0.004

Find the number that has the most digits NOT INCLUDING zeros on the front x digits

Find the number that has the most digits NOT INCLUDING zeros on the front x digits1 digit

Put that number on top lining up the right side of the problem x digits1 digit

Put that number on top lining up the right side of the problem x

Multiply normally x

Multiply normally x

Count the total number of decimal places in the problem x

Count the total number of decimal places in the problem x decimal places

Count the total number of decimal places in the problem x decimal places +3 decimal places

Count the total number of decimal places in the problem x decimal places +3 decimal places 5 decimal places

Put that many decimal places in the answer x decimal places +3 decimal places 5 decimal places

Put that many decimal places in the answer x decimal places +3 decimal places 5 decimal places 1 decimal place

Put that many decimal places in the answer x decimal places +3 decimal places 5 decimal places 2 decimal places

Put that many decimal places in the answer x decimal places +3 decimal place 5 decimal places 3 decimal places

Put that many decimal places in the answer x decimal places +3 decimal place 5 decimal places 4 decimal places

Put that many decimal places in the answer x decimal places +3 decimal place 5 decimal places

Put that many decimal places in the answer x

Remove any extra zeros x 1.98

Remove any extra zeros x 1.98

Find the number that has the most digits NOT INCLUDING zeros on the front x 1.98

Find the number that has the most digits NOT INCLUDING zeros on the front x digits

Find the number that has the most digits NOT INCLUDING zeros on the front x digits3 digits

Put that number on top lining up the right side of the problem x digits3 digits

Put that number on top lining up the right side of the problem x 3. 4

Multiply normally x 3. 4

Multiply normally x

Multiply normally x

Multiply normally x

Count the total number of decimal places in the problem x

Count the total number of decimal places in the problem x decimal places

Count the total number of decimal places in the problem x decimal places +1 decimal place

Count the total number of decimal places in the problem x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer x decimal places +1 decimal place 3 decimal places 1 decimal place

Put that many decimal places in the answer x decimal places +1 decimal place 3 decimal places 2 decimal places

Put that many decimal places in the answer x decimal places +1 decimal place 3 decimal places

Put that many decimal places in the answer x

 Remove any extra zeros.  Find the number that has the most digits NOT INCLUDING zeros on the front.  Put that number on top lining up the right side of the problem.  Multiply normally.  Count the total decimal places in the problem.  Put that many decimal places in the answer.