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# Multiplying Decimals - PowerPoint PPT Presentation

Multiplying Decimals. What happened to my line?!?!?!?!??!. Multiplying Fractions:. Is the product ALWAYS smaller than the fractions (factors)? Meaning, is this true for all fractions?. Multiplying Fractions:.

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### Multiplying Decimals

What happened to my line?!?!?!?!??!

Is the product ALWAYS smaller than the fractions (factors)? Meaning, is this true for all fractions?

Is the product ALWAYS smaller than the fractions (factors)? Meaning, is this true for all fractions?It depends on the factors!

Do NOT line up the decimals!

The decimal places are growing and growing!

• We are multiplying hundredths times tenths:

• So, the answer must be in thousandths!

hundredths

times

tenths =

thousandths!

The other multiplication stuff works like it always did.

Multiplying Decimals:

If the factors (fractions OR decimals) are LESS than 1 then the product will be smaller!

Multiplying Decimals:

If one of the factors (fractions OR decimals) is greater than 1 than the product will be bigger than one of the fractions/decimals? If BOTH are bigger than 1 than the product will be bigger!!

• Trick:

• Count up the place values after the decimal point in the problem.

• If there are 3 place values after the decimal points in the factors then your answer needs to be in the thousandths place…needs 3 decimal places.

0.07 • 0.2 answer?

23

• 14

• 1.4

• 0.14

• 0.014

• 0.0014

• 0.27

0

5 • 0.028 answer?

23

• 14

• 1.4

• 0.14

• 0.014

• 0.0014

• 0.27

0

4.8 • 3.25 answer?

Non-Response Grid

0.08 • 0.205 answer?

Non-Response Grid

Evaluate answer?ab for a = 1.06 and b = .002

Non-Response Grid

Evaluate answer?a(b+ c) for a = 4.1, b = 1.2 and c = .03

Non-Response Grid

EXIT SLIP: answer?Text in your answer…Without multiplying…will 11.7 • 5 be closer to 55 or 60? Explain your reasoning.