Multiplying decimals

Multiplying Decimals

Step 1: Turn into Fractions

Remember Place Value!

When you change a decimal to a fraction, remember your place values!

0.5 and 0.05 do not mean the same thing!

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Place Value Chart

Multiple Choice

Turn this decimal into a group of fractions

0.456

• $$\frac{4}{10}+\frac{5}{100}+\frac{6}{1000}$$

• $$\frac{456}{10}$$

• $$\frac{45}{10}+\frac{6}{10000}$$

• $$\frac{4}{100}+\frac{5}{100}+\frac{6}{100}$$

Multiple Choice

Turn this decimal into a group of fractions

0.837

• $$\frac{83}{10}+7$$

• $$\frac{837}{1}$$

• $$\frac{8}{10}+\frac{3}{100}+\frac{7}{1000}$$

• $$\frac{8}{100}+\frac{3}{1000}+\frac{7}{10}$$

Math Response

Write this decimal as a fraction

0.6

Type answer here

Correct Answer: \frac{6}{10}

Deg^°

Rad

Math Response

Write this decimal as a group of fractions

0.45

Type answer here

Correct Answer: \frac{4}{10}+\frac{5}{100}

Deg^°

Rad

Math Response

Write this decimal as a group of fractions

0.193

Type answer here

Correct Answer: \frac{1}{10}+\frac{9}{100}+\frac{3}{1000}

Deg^°

Rad

Multiply fractions

Turn into fractions

Put it together

Multiple Choice

$$0.3\ \cdot\ 0.5$$

• 1.5

• $$\frac{15}{100}$$

• $$\frac{15}{10}$$

• $$\frac{5}{100}$$

Multiple Choice

$$0.5\ \cdot\ 0.5$$

• $$\frac{1}{5}$$

• $$\frac{2}{5}$$

• $$\frac{25}{100}$$

• $$\frac{5}{100}$$

Match

Match the problems to their answers

• $$0.6\ \cdot\ 0.5$$

• $$0.3\cdot0.2$$

• $$0.2\cdot0.5$$

• $$0.8\cdot0.2$$

• $$0.3\cdot0.4$$

• $$\frac{30}{100}$$

• $$0.06$$

• $$\frac{1}{10}$$

• $$\frac{16}{100}$$

• $$0.12$$

4.312 x 0.2

Convert to Fractions
Use a generic rectangle or the Shortcut Method

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Multi-Digit Decimals

Convert to Fractions

Shortcut Method

Replace this with a header

​Replace with sub-header

Multiple Choice

$$5.2\cdot1.3$$

• 6.32

• 6.76

• 3.12

• 5.45