standard_description: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
problem_activity: Problem 1
Mrs. Fowler knew that the perimeter of the soccer field was
$${{1\over6}}$$
mile. She walked
$$2{{{1\over6}}}$$
miles in total. How many times did she walk around the field? Show or explain your work.
Problem 2
Convert the following mixed numbers to fractions greater than 1. Show or explain your work.
a.
$${3{1\over2}}$$
b.
$${4{1\over4}}$$
c.
$${5{3\over5}}$$
Problem 3
Ben wrote the mixed number
$$7\frac{1}{3}$$
as a fraction. Here is his work:
| $$7\frac{1}{3}= 7 + \frac{1}{3}$$ | (Step 1) |
|-----------------------------------|----------|
|   $$=\frac{7}{1}+\frac{1}{3}$$    | (Step 2) |
|   $$=\frac{21}{3}+\frac{1}{3}$$   | (Step 3) |
|         $${={22\over3}}$$         | (Step 4) |
Explain what Ben did in each step.


aligns: no