decimals

Decimals

I can add, subtract multiply and divide decimals with a standard algorithm.

Standard

6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimal numbers using a standard algorithmic approach.

Decimal Addition

• First stack the numbers and line up the decimal points.

• Second add numbers from right to left.

• Follow addition rules for carrying over by place value.

• Check your work

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Decimal Subtraction

• Stack the numbers larger number on top.

• Align the decimal points.

• If a number has fewer decimal places extend it with zeros

• Subtract the top bottom number from the top number from right to left.

• Borrow and reduce as needed to solve the problem.

• Check your work make sure your decimals line up

Decimal Multiplication

• Start by stacking your numbers largest number on top.

• You do not need to align the decimal points in multiplication

• Follow standard multiplication steps

• Multiply the ones place with the top number

• multiply the tens place to the top number

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Multiplication

• Remember for every place value on the bottom number you should have a new row to add together

• Also use zero as spacers when starting the new row Example the third row should have 2 zeros since it represents the 100's place

• When you have multiplied all of the bottom digits against the top number add the products.

• count how many decimal places were in the original numbers and from the right count to the left and place the new decimal point.

• Check your work

Decimal Division

• Set up your division problem for long division

• Ignore the decimal places for now

• going from left to right divide the dividend by the divisor and solve to get the quotient

• Count how many decimal places were in the original problem

• counting from right to left place the decimal point to the left of the number of places in your quotient