Question

1. practice 2 use number sense explain why the numerical expression 3 less than 16 is written as 16 - 3 and not 3 - 16.
2. practice 7 identify structure circle the numerical expression that is four times as large as 52 - 9.

52 - (9 × 4) (52 - 9) + 4 (52 - 9) × 4 (52 - 9) ÷ 4

1. ? building on the essential question how do i compare numerical expressions without calculating them?

Explanation:

9.

Step1: Understand "less than" meaning

In math, "a less than b" means we start with b and subtract a.

Step2: Apply to given numbers

For "3 less than 16", we start with 16 and subtract 3, so it's 16 - 3. If we did 3 - 16, it would mean 16 less than 3 which is incorrect for the given statement.

Step1: Identify the operation for "four - times as large"

To find a number that is four - times as large as another number (or expression), we multiply the number (or expression) by 4.

Step2: Analyze the given expression

The given expression is 52 - 9. To get an expression that is four - times as large as 52 - 9, we multiply the whole expression (52 - 9) by 4, which is (52 - 9)×4.

Step1: Look at the structure

Compare the number of terms, types of operations (addition, subtraction, multiplication, division), and the order of operations in the expressions. For example, if one expression has a multiplication by a large number and the other has only addition of small numbers, the former is likely larger.

Step2: Consider the values involved

If the numbers in one expression are generally larger than those in another, and the operations are similar, the expression with larger numbers is likely larger. Also, consider the role of parentheses. If an expression has a part grouped in parentheses that is being multiplied or divided, it can change the overall value significantly compared to an expression without such grouping.

Answer:

The expression "3 less than 16" is written as 16 - 3 because in the phrase "a less than b", we start with b and subtract a.

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