L4 · Remainders interpreted by context

Learning goal

“I can compute a division with a remainder and decide - from the story - whether the answer rounds up, drops the remainder, or shares it out.”

Remainder — what is left over after equal sharing: in 250 / 9 = 27 r 7, the remainder is 7.

Round up — use one more than the quotient, because the leftovers still need a group: one more van, one more boat.

Left over — the remainder described in story words: 4 cm of ribbon left over after cutting full pieces.

Full groups — groups that are completely filled; a question may ask only about these, and then the remainder is dropped from the answer.

Worked example

23 students are going on a field trip. Each car takes 4 students. How many cars are needed? Step 1: Divide: 23 / 4 = 5 r 3. Five full cars, 3 students left over. Step 2: Read the question again: "how many cars are NEEDED?" The 3 leftover students still need a ride - they cannot be dropped from the answer. Step 3: Round up: 5 + 1 = 6 cars. Say it plainly: the division gives you the quotient and the remainder. The STORY tells you what to do with the remainder. "Needed to carry everyone" always rounds up.

Check yourself — explain it

Why is "5 cars" a wrong answer even though the division is right?

Paired problem — example still visible

178 students, vans that hold 8. How many vans are needed? -> 178 / 8 = 22 r 2, so round up: 23 vans.

Faded completion — last step is yours

"95 / 8 = 11 r 7. For a trip where everyone must go, the answer is ___ groups" -> 12

Ready to practise?

10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.

Start practice →Take the unit quiz