standard_description: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
problem_activity: Problem 1
a.   Solve.
$$0.03 \times 10$$
= ___________
$$0.106 \times 10$$
= ___________
$$54.8 \times 10$$
= ___________
b.   What do you notice about Part (a)? What do you wonder?
Problem 2
a.   Solve.
$$0.09 \times 10 =$$
___________
$$0.09 \times 100=$$
___________
$$0.09 \times 1,000= $$
___________
b.   What do you notice about Part (a)? What do you wonder?
c.   Solve.
$$70.6 \times 10=$$
___________
$$70.6 \times 10^2 =$$
___________
$$70.6 \times 10^3 =$$
___________
d.    What do you notice about Part (c)? What do you wonder?
e.   Use your conclusions from Parts (b) and (d) to find the solutions below.
$$23.48 \times 10,000 =$$
___________
$$6.059 \times 10^3 =$$
___________
Problem 3
The value of the 8 in 83.16 is how many times the value of the 8 in 7.8?


aligns: yes