Lesson 5

1. Find the product of each number and \(\frac{1}{100}\).

   122.1

   11.8

   1350.1

   1.704

2. What happens to the decimal point of the original number when you multiply it by \(\frac{1}{100}\)? Why do you think that is? Explain your reasoning.

Which expression has the same value as \((0.06) \boldcdot (0.154)\)? Select all that apply.

\(6 \boldcdot \frac{1}{100} \boldcdot 154 \boldcdot \frac{1}{1,000}\)

\(6 \boldsymbol  \boldcdot 154 \boldcdot \frac{1}{100,000}\)

\(6 \boldcdot (0.1) \boldcdot 154 \boldcdot (0.01)\)

\(6 \boldsymbol  \boldcdot 154 \boldcdot (0.00001)\)

0.00924

Calculate the value of each expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning.

1. \((0.01)\boldcdot (0.02)\)
2. \((0.3) \boldcdot (0.2)\)
3. \((1.2) \boldcdot 5\)
4. \((0.9) \boldcdot (1.1)\)
5. \((1.5)\boldcdot 2\)

Write three numerical expressions that are equivalent to \((0.0004) \boldcdot (0.005)\).

Calculate each sum.

Calculate each difference. Show your reasoning.

On the grid, draw a quadrilateral that is not a rectangle that has an area of 18 square units. Show how you know the area is 18 square units.