Choose an efficient operation strategy

Efficient operation strategy is the mathematical judgment of selecting and sequencing addition, subtraction, multiplication, or division for whole numbers, decimals, fractions, and integers by interpreting the quantities and relationships involved. It includes using properties, compatible numbers, equivalent forms, estimation, and the order of operations to simplify computation or check reasonableness, rather than relying on isolated keywords in a problem. This understanding supports flexible work with numerical expressions and later algebraic reasoning, without extending to advanced symbolic optimization or generalized algebraic methods.

Detailed Explanation: Choose an efficient operation strategy

Choose an operation by asking what is happening to the quantities—not by looking for a single “keyword.”

Example: A teacher has $6$ boxes with $24$ pencils in each box. She gives $35$ pencils to students. How many pencils remain?

Decide what the first operation should be.
There are $6$ equal groups of $24$ pencils, so find the total with multiplication:

6 \times 24

Compute efficiently using place value.
Break $24$ into $20+4$ :

6 \times 24=6(20+4)=120+24=144

Decide what to do with the total.
The teacher gives away $35$ pencils, so subtract:

144-35=109

Check that the answer is reasonable.
Since $6 \times 24$ is about $6 \times 20=120$ , and $35$ are removed, an answer near $85$ – $110$ makes sense. The exact answer is:

\boxed{109\text{ pencils}}

The efficient strategy was multiply first to combine equal groups, then subtract what was given away.

Learn by doing: Choose an efficient operation strategy

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Order of Operations - Add, Subtract, Multiply no Parentheses (5 Numbers)

Earned ?

Choose an efficient operation strategy

Detailed Explanation: Choose an efficient operation strategy

Learn by doing: Choose an efficient operation strategy

Practice with unlimited practice problems

Practice:

Order of Operations - Add, Subtract, Multiply no Parentheses (5 Numbers)