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
The value of the digit 7 in the number 17.48 is 10 times the value of the digit 7 in which number?
Problem 2
Sonya is trying to solve for the missing value in the equation 93.6 × _____ = 93,600. Sonya claims that the answer is 100 because there are two zeros at the end of 93,600 and multiplying by ten results in an extra 0 at the end of the number, so multiplying by 100 would results in two zeros at the end of the number.
Explain why Sonya’s reasoning is incorrect.
Find the correct solution. Show or explain your work.


aligns: no