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: Task
State the meaning of each of the following expressions and draw a picture that represents it.
$$(3\times5)+4$$
$$3\times(5+4)$$
State the meaning of this expression:
$$3\times5+4$$
How do you know?
State the meaning of each of the following expressions and draw a picture that represents it.
$$(3+5)\times4$$
$$3+(5\times4)$$
State the meaning of this expression:
$$3+5\times4$$
How do you know?


aligns: no