# Transcript: Dividing Decimal Numbers

Teacher Sarah stands in a studio next to a large touchscreen. She has short brown hair and wears a blue shirt with a print that reads "Homework zone."

A chart appears on the large touchscreen. The columns read "Hundreds, tens, ones, decimal, tenths, hundredths, thousandths."

A caption reads "Teacher Sarah."

Sarah says HI, TVOKIDS.

I'M TEACHER SARAH.

AND TODAY, WE'RE

GOING TO TALK ABOUT

DIVIDING DECIMAL NUMBERS

BY POWERS OF TENTHS,

WHICH MEANS DIVIDING DECIMAL

NUMBERS BY TENTHS,

HUNDREDTHS, AND

THOUSANDTHS.

NOW I LIKE TO USE A

PLACE-VALUE CHART

TO HELP ME KEEP TRACK

OF MY THINKING.

LET'S TRY AN

EXAMPLE TOGETHER.

HERE WE HAVE THE NUMBER

FOUR AND TWO-TENTHS.

She points at the number 4.2, written under the ones, decimal and tenths columns.

She says NOW, SUPPOSE I WANTED TO

TAKE FOUR AND TWO-TENTHS

AND DIVIDE IT BY

ONE-HUNDREDTH.

I'M GOING TO SHOW

YOU A TRICK

THAT'S GOING TO MAKE

THIS REALLY SIMPLE.

ALL WE NEED TO DO

IS TAKE A LOOK AT

THE POWER OF TENTHS THAT

WE ARE DIVIDING BY.

IN THIS CASE IT IS

ONE-HUNDREDTH.

I NOTICE THAT ONE-HUNDREDTH

HAS TWO PLACES

TO THE RIGHT OF

THE DECIMAL.

She points at the number 0.01 and continues

SO, WHAT I'M

GOING TO DO NOW

IS I'M GOING TO

MOVE MY DECIMAL

IN MY FOUR AND

TWO-TENTHS

TWO PLACES OVER

TO THE RIGHT.

In the original number 4.2 she moves the decimal two places to the right and adds a 0 to form the number 420.

She says WHICH GIVES ME

A QUOTIENT

OF FOUR-HUNDRED

AND TWENTY.

NOW, DON'T BE

ALARMED.

THE REASON WHY WE'RE

GETTING A LARGER NUMBER

IS BECAUSE WE'RE

DIVIDING BY A NUMBER

THAT IS LESS THAN ONE.

SO, LET'S TRY ANOTHER

EXAMPLE TOGETHER.

WE'RE GOING TO TAKE OUR

FOUR AND TWO-TENTHS

AND THIS TIME WE'RE

GOING TO DIVIDE IT

BY ONE-THOUSANDTH.

SO, WE'RE GOING TO

DO THE SAME STEP.

TAKE A LOOK AT OUR

POWER OF TEN,

AND COUNT THE

NUMBER OF PLACES

TO THE RIGHT

OF THE ZERO.

She counts on the number 0.001 and says ONE, TWO, THREE.

THIS TELLS US THAT

WE NEED TO MOVE

OUR DECIMAL PLACE THREE

PLACES TO THE RIGHT.

ONE, TWO, THREE,

PUTTING IN THE

ZEROS AS WE MOVE.

She repeats the process but now moves the decimal 3 times, adding two zeroes to form the number 4200.

She says THERE WE HAVE FOUR

AND TWO-TENTHS

DIVIDED BY

ONE-THOUSANDTH

AS FOUR-THOUSAND

AND TWO-HUNDRED.

REMEMBER, WHEN YOU'RE

DIVIDING BY TENTHS,

HUNDREDTHS AND

THOUSANDTHS,

COUNT THE NUMBER OF

PLACES AFTER THE DECIMAL

AND MOVE THE DECIMAL

THAT MANY PLACES

TO THE RIGHT.

SEE YOU NEXT TIME.

A chart appears on the large touchscreen. The columns read "Hundreds, tens, ones, decimal, tenths, hundredths, thousandths."

A caption reads "Teacher Sarah."

Sarah says HI, TVOKIDS.

I'M TEACHER SARAH.

AND TODAY, WE'RE

GOING TO TALK ABOUT

DIVIDING DECIMAL NUMBERS

BY POWERS OF TENTHS,

WHICH MEANS DIVIDING DECIMAL

NUMBERS BY TENTHS,

HUNDREDTHS, AND

THOUSANDTHS.

NOW I LIKE TO USE A

PLACE-VALUE CHART

TO HELP ME KEEP TRACK

OF MY THINKING.

LET'S TRY AN

EXAMPLE TOGETHER.

HERE WE HAVE THE NUMBER

FOUR AND TWO-TENTHS.

She points at the number 4.2, written under the ones, decimal and tenths columns.

She says NOW, SUPPOSE I WANTED TO

TAKE FOUR AND TWO-TENTHS

AND DIVIDE IT BY

ONE-HUNDREDTH.

I'M GOING TO SHOW

YOU A TRICK

THAT'S GOING TO MAKE

THIS REALLY SIMPLE.

ALL WE NEED TO DO

IS TAKE A LOOK AT

THE POWER OF TENTHS THAT

WE ARE DIVIDING BY.

IN THIS CASE IT IS

ONE-HUNDREDTH.

I NOTICE THAT ONE-HUNDREDTH

HAS TWO PLACES

TO THE RIGHT OF

THE DECIMAL.

She points at the number 0.01 and continues

SO, WHAT I'M

GOING TO DO NOW

IS I'M GOING TO

MOVE MY DECIMAL

IN MY FOUR AND

TWO-TENTHS

TWO PLACES OVER

TO THE RIGHT.

In the original number 4.2 she moves the decimal two places to the right and adds a 0 to form the number 420.

She says WHICH GIVES ME

A QUOTIENT

OF FOUR-HUNDRED

AND TWENTY.

NOW, DON'T BE

ALARMED.

THE REASON WHY WE'RE

GETTING A LARGER NUMBER

IS BECAUSE WE'RE

DIVIDING BY A NUMBER

THAT IS LESS THAN ONE.

SO, LET'S TRY ANOTHER

EXAMPLE TOGETHER.

WE'RE GOING TO TAKE OUR

FOUR AND TWO-TENTHS

AND THIS TIME WE'RE

GOING TO DIVIDE IT

BY ONE-THOUSANDTH.

SO, WE'RE GOING TO

DO THE SAME STEP.

TAKE A LOOK AT OUR

POWER OF TEN,

AND COUNT THE

NUMBER OF PLACES

TO THE RIGHT

OF THE ZERO.

She counts on the number 0.001 and says ONE, TWO, THREE.

THIS TELLS US THAT

WE NEED TO MOVE

OUR DECIMAL PLACE THREE

PLACES TO THE RIGHT.

ONE, TWO, THREE,

PUTTING IN THE

ZEROS AS WE MOVE.

She repeats the process but now moves the decimal 3 times, adding two zeroes to form the number 4200.

She says THERE WE HAVE FOUR

AND TWO-TENTHS

DIVIDED BY

ONE-THOUSANDTH

AS FOUR-THOUSAND

AND TWO-HUNDRED.

REMEMBER, WHEN YOU'RE

DIVIDING BY TENTHS,

HUNDREDTHS AND

THOUSANDTHS,

COUNT THE NUMBER OF

PLACES AFTER THE DECIMAL

AND MOVE THE DECIMAL

THAT MANY PLACES

TO THE RIGHT.

SEE YOU NEXT TIME.

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