standard_description: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.) For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
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: no