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.   How many do you see? How do you see them?
[IMG]
b.   Instead of writing
$$10 \times 10$$
, we can write
$$10^2$$
, which we read “ten to the
power
of two.” The two is the
exponent
and tells us how many times we multiply 10 by itself. How would you represent the number of the smallest spokes in the image above as a power of 10?
Problem 2
a.   Write each of the following as a product of tens and in standard form.
$$10^4$$
$$10^6$$
b.   Write each of the following as a power of 10.
10 × 10 × 10 × 10 × 10
1,000,000,000
Problem 3
a.   Solve.
10 × 10,000 = ______
1,000 × 1,000 = ______
1,000,000 × 100 = ______
b.   How were powers of 10 useful in solving Part (a)?


aligns: yes