Round Decimals to Any Place Including Hundredths and Thousandths

Students extend rounding to hundredths and thousandths places and can round a decimal to any specified place. They apply rounding in context and explain their reasoning using place value language.

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Grade 5 · Rounding Decimals · question 1 of 3

0 of 20

20 rungs. A star at the top.

Round 1.234 to the nearest hundredth.

How it is taught

0:00 of 5:22

Round by looking at the next smaller place.

Five or more bumps the digit you keep.

Read it: Which mark is nearer?

4.6 sits between 4 and 5. The middle of the line is 4.5, and 4.6 is past it, so 4.6 rounds to 5.

Find the marks on either side of the number.
Find the middle mark between them: for 4 and 5 it is 4.5.
Past the middle, round up to the higher mark; short of it, round down.

Rounding asks which mark a number is nearer, and the middle is exactly as near to both.

4.3 is short of 4.5, so it is nearer 4 and rounds down, not up.

Any place works this way: the gap between the marks is cut into 10 steps, and the middle mark decides.

Find the middle between the marks; a number past it rounds up, and a number short of it rounds down.

Always rounding up, and saying 4.3 rounds to 5.

4.3 is short of the middle at 4.5, so it is nearer 4. It rounds down to 4.

Round 1.17 to the nearest tenth. — 1.2. 1.17 sits past the middle at 1.15, so it is nearer 1.2 than 1.1.

Round 3.847 to the nearest hundredth

Let's round three point eight four seven to the nearest hundredth.

Here is our number — three point eight four seven.

The hundredths place is the four. That's where we want to round.

To decide, we peek at the digit just to the right — the thousandths place.

It's a seven. Seven is five or more, so we round up.

Grade 5 · Rounding to hundredths and thousandths

The four rounds up to five.

Everything after the hundredths place drops away.

On the number line, three point eight four seven sits between 3.84 and 3.85 — closer to 3.85.

Three point eight four seven rounded to the nearest hundredth is three point eight five.

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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