standard_description: Interpret multiplication as scaling (resizing), by:
- Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.
- Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
problem_activity: Problem 1
Arthur needs to sew 8 buttons onto his jacket. For each button, he’ll need
$$5\over 12$$
feet of thread. What is the total amount of thread, in inches, Arthur needs to sew on all 8 buttons?
Problem 2
A chef makes 37 servings of soup. Each serving is
$$2\frac {1}{4}$$
cups. How much soup, in cups, did the chef make in total?


aligns: no