← 7th Grade Math
Math 7 U2-L8 Applications with Decimals

Rounding Quotients

A calculator will happily give you a quotient with six decimal places. Nobody can pay that, so you have to know where to stop.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to round a decimal quotient to a stated place, round a shared cost up to the next cent, and explain why up is the right direction for money.

Where Students Get Stuck

๐Ÿšจ Stopping the division too early. To round to the hundredths you have to divide out to the thousandths, because the digit one place past is the one that decides.

Rounding money down. A student who rounds 3.6625 to $3.66 gets the usual rounding right and still comes up a cent short when four people each pay it.

Teaching Suggestion

Make the student multiply the rounded share back by the number of people. Seeing 3.66 x 4 land a cent under the bill is the reason money rounds up, and it works better than being told.

Key Vocabulary

Quotient
The answer to a division problem.
Place Value
The value of a digit because of where it sits in a number, like tenths or hundredths.
Greatest Place Value
The place of the leftmost digit of a number, which is the tens place in 30.64.
Round Up
To raise a number to the next larger value of a place, as with a shared bill.
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Before You Start

The Words

The words this lesson uses. Tap a card to see what it means, then come back to them whenever a question uses one.

Part One

The Questions

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Questions about the story you just read. Pick your answer straight off, or press Find it in the story if you would rather hunt for the sentence first.

Part Two

Vocabulary Check

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The word cards are at the top of this page. Look back at them as often as you need, then answer.

When you finish: write the answers out in your own words — not copied word for word from the choices. Saying it your own way is the part that proves you understood it. Then use Print Answer Sheet for a one-page record of what was answered and scored.
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