L4 · Rounding to various places, including tenths

Learning goal

“I can round whole numbers and decimals to a chosen place - including the tenths place - by looking at the digit next door, and explain why the rounded number is a good 'about' answer.”

Round — to replace a number with a nearby number that is easier to use (like the nearest ten or hundred).

Nearest — closest in value. The nearest hundred to 4,382 is 4,400.

Halfway point — the exact middle between two choices (350 is halfway between 300 and 400). Halfway numbers round UP.

Worked example

Round 4,382 to the nearest hundred. The two choices are 4,300 and 4,400. The halfway point is 4,350. Look at the TENS digit (the digit right after the place you are rounding to): it is 8. 4,382 is past the halfway point, so it rounds UP to 4,400. The rule that never fails: find the place, look next door. 5 or more - round up. 4 or less - round down (the digit stays, and everything after becomes zeros).

Check yourself — explain it

To round 4,382 to the nearest hundred, I look at the tens digit because...

Paired problem — example still visible

Round 6,247 to the nearest hundred -> tens digit 4 -> round down -> 6,200

Faded completion — last step is yours

"Round 91,560 to the nearest thousand: choices 91,000 and 92,000; the hundreds digit is ___, so it rounds to ___." -> 5; 92,000

Ready to practise?

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

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