# Transcript: Rounding Numbers

(music plays)

Shahana stands next to a wall touch screen with colourful numbers. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone."

She says HI,

TVO KIDS,

I'M TEACHER

SHAHANA

AND I'M HERE

TODAY TO SHOW YOU

HOW TO ROUND

NUMBERS.

LET'S GET

STARTED WITH

A PROBLEM.

She clicks on a top menu and a word problem appears. It reads "This March my family is planning a road trip to a few cities in the United States. The driving distance from Toronto to our first destination, New York City, is 789 kilometers. From there we want to drive to Washington D.C. which is another 367 kilometers. The final stretch back to Toronto is 793 kilometers. About how many kilometers will end up driving in total to get from Toronto to New York City to Washington D.C. and back?"

She continues NOW BEFORE WE

BEGIN TO

SOLVE

THE PROBLEM,

LET'S HIGHLIGHT

SOME OF

THE KEYWORDS

THAT WE SEE.

THE FIRST

IMPORTANT WORD THAT

I SEE IN THIS

PROBLEM

IS TOTAL.

TOTAL TELLS ME

THAT I HAVE

TO USE

ADDITION IN ORDER

TO ADD UP ALL THE

DISTANCES.

I ALSO SEE

THIS WORD OVER HERE,

ABOUT.

NOW, ABOUT MEANS

THAT THEY

DON'T WANT AN

EXACT NUMBER AS

MY FINAL

ANSWER.

THEY WANT A

NUMBER THAT'S

AROUND THAT,

SO HOW DO WE FIND

OUT WHAT THAT

NUMBER IS?

WELL, WE CAN

USE ROUNDING.

LET'S GIVE IT

A TRY.

THE FIRST STEP

IS TO CALCULATE

YOUR ACTUAL

ANSWERS.

SO IF YOU

NOTICE OVER HERE,

WE ADDED UP ALL OF

THE DISTANCES,

AND GOT A TOTAL

1,949 KILOMETRES,

AND THAT'S

THE ACTUAL

OR EXACT

DISTANCE THAT MY

FAMILY WOULD HAVE

TRAVELLED.

OKAY,

BUT THE

PROBLEM TOLD US

THAT WE SHOULD

FIND OUT ABOUT

HOW MANY

KILOMETRES MY

FAMILY TRAVELLED,

SO THAT'S WHERE

WE NEED

TO ROUND.

THERE ARE THREE

DIFFERENT WAYS

WE COULD

ROUND THE NUMBER.

WE COULD ROUND IT

TO THE NEAREST

TEN, NEAREST

100 OR THE NEAREST

1,000.

LET'S START

BY ROUNDING OUR

NUMBER TO THE

NEAREST TEN.

She clicks and a four-column table appears. The columns read "Thousands, Hundreds, Tens, Ones."

She continues FIRST THING

I'LL DO IS WRITE

IN MY NUMBER INTO

MY PLACE VALUE

CHART

OVER HERE.

1,949.

OKAY, AND WHAT

I'LL DO IS

I'M GOING TO

CIRCLE THE DIGIT

IN THE PLACE

VALUE THAT

I'M

ROUNDING TO.

SO IN THIS

CASE,

WE HAVE

TO ROUND IT

TO THE NEAREST

TEN.

SO I'M

GOING TO CIRCLE

THE DIGIT IN THE

TENS PLACE VALUE.

UNDERLINE THE DIGIT

BESIDE IT AND

WE CAN

REMEMBER A LITTLE

ROUNDING RHYME IN

ORDER TO

HELP

US HERE.

IF THE UNDERLINED

DIGIT IS FIVE

MORE,

RAISE THE SCORE.

WHAT THAT MEANS IS

THAT WE HAVE

TO RAISE THE

CIRCLE DIGIT BY ONE,

WHICH MEANS

THIS WOULD

BECOME

A FIVE.

IF THE UNDERLINED

DIGIT IS FOUR

OR LESS, WE

LET THE CIRCLE

DIGIT REST.

IN

OTHER WORDS,

WE JUST LEAVE

IT AS IS.

IN

THIS CASE,

WE'RE GOING TO RAISE

OUR CIRCLE DIGIT

BY ONE,

SO THE FOUR

BECOMES A FIVE,

AND WE REWRITE

THE NUMBER,

EXCEPT

THIS TIME,

EVERYTHING AFTER

THE CIRCLED

DIGIT

BECOMES A ZERO.

SO IF WE ROUNDED

1,949

KILOMETRES TO

THE NEAREST TEN,

WE'D GET

1,950.

LET'S TRY IT

AGAIN BY ROUNDING

TO THE NEAREST

HUNDRED.

The chart clears.

She continues OKAY, THIS

TIME AGAIN,

I'M GOING TO WRITE

MY NUMBER

INTO THE

PLACE VALUE CHART.

NOW WE'RE ROUNDING

TO THE NEAREST

HUNDRED,

SO I'M GOING TO

CIRCLE THE DIGIT

IN THE HUNDREDS

PLACE VALUE,

UNDERLINE THE

DIGIT BESIDE IT.

FOUR MORE, WE'RE

GOING TO

LET

THIS REST.

SO WE LEAVE IT

JUST AS IT IS,

AND THEN

RE-WRITE THE NUMBER,

EXCEPT EVERYTHING

AFTER THE

CIRCLE DIGIT

BECOMES A ZERO.

SO ROUNDING THAT

NUMBER TO THE

NEAREST HUNDRED

BECOMES 1,900.

AND FINALLY,

ROUNDING TO THE

NEAREST

THOUSAND.

THIS IS PRETTY

EASY SO FAR.

WE'RE GOING TO

PUT OUR NUMBER

INTO THE PLACE

VALUE CHART.

ONCE AGAIN,

CIRCLE THE

DIGIT IN THE PLACE

VALUE THAT YOU'RE

ROUNDING TO,

UNDERLINE THE

DIGIT BESIDE IT.

THE UNDERLINED DIGIT

IS FIVE OR MORE,

SO WE'RE GOING

TO RAISE THE SCORE.

WE'RE GOING TO ADD

ONE OVER HERE,

BECOMES A TWO,

AND EVERYTHING

AFTER IT BECOMES

A ZERO.

A conclusion screen appears.

She continues OKAY,

SO TO SUM UP,

THESE ARE THE NUMBERS

THAT WE ROUNDED.

THIS WAS

OUR ACTUAL ANSWER.

IF YOU

NOTICE,

THE HIGHER

THE PLACE VALUE

THAT YOU

ROUND TO,

THE FURTHER

AWAY YOUR ANSWER

GETS FROM THE

ACTUAL ANSWER.

SO IF THE QUESTION

DOESN'T TELL YOU

WHAT NUMBER TO

ROUND TO, YOU DECIDE.

HOW ABOUT

WE CHOOSE,

FOR

OUR PURPOSES,

LET'S CHOOSE TO

ROUND TO

THE

NEAREST TEN.

SO AS MY

ANSWER,

WHAT I CAN

SAY IS THEN THAT:

A blue caption reads "My family will drive about or approximately 1,950 kilometers in total on the trip."

She continues OKAY, SO THANKS FOR

WATCHING TVO KIDS.

I'M TEACHER

SHAHANA AND THE

NEXT TIME YOU

ROUND,

DON'T FORGET

OUR ROUNDING RHYME:

FIVE OR MORE, RAISE

THE SCORE,

FOUR OR

LESS, LET IT REST.

Shahana stands next to a wall touch screen with colourful numbers. She is in her twenties, with shoulder-length brown hair. She wears a blue T-shirt with a print that reads "Home Work Zone."

She says HI,

TVO KIDS,

I'M TEACHER

SHAHANA

AND I'M HERE

TODAY TO SHOW YOU

HOW TO ROUND

NUMBERS.

LET'S GET

STARTED WITH

A PROBLEM.

She clicks on a top menu and a word problem appears. It reads "This March my family is planning a road trip to a few cities in the United States. The driving distance from Toronto to our first destination, New York City, is 789 kilometers. From there we want to drive to Washington D.C. which is another 367 kilometers. The final stretch back to Toronto is 793 kilometers. About how many kilometers will end up driving in total to get from Toronto to New York City to Washington D.C. and back?"

She continues NOW BEFORE WE

BEGIN TO

SOLVE

THE PROBLEM,

LET'S HIGHLIGHT

SOME OF

THE KEYWORDS

THAT WE SEE.

THE FIRST

IMPORTANT WORD THAT

I SEE IN THIS

PROBLEM

IS TOTAL.

TOTAL TELLS ME

THAT I HAVE

TO USE

ADDITION IN ORDER

TO ADD UP ALL THE

DISTANCES.

I ALSO SEE

THIS WORD OVER HERE,

ABOUT.

NOW, ABOUT MEANS

THAT THEY

DON'T WANT AN

EXACT NUMBER AS

MY FINAL

ANSWER.

THEY WANT A

NUMBER THAT'S

AROUND THAT,

SO HOW DO WE FIND

OUT WHAT THAT

NUMBER IS?

WELL, WE CAN

USE ROUNDING.

LET'S GIVE IT

A TRY.

THE FIRST STEP

IS TO CALCULATE

YOUR ACTUAL

ANSWERS.

SO IF YOU

NOTICE OVER HERE,

WE ADDED UP ALL OF

THE DISTANCES,

AND GOT A TOTAL

1,949 KILOMETRES,

AND THAT'S

THE ACTUAL

OR EXACT

DISTANCE THAT MY

FAMILY WOULD HAVE

TRAVELLED.

OKAY,

BUT THE

PROBLEM TOLD US

THAT WE SHOULD

FIND OUT ABOUT

HOW MANY

KILOMETRES MY

FAMILY TRAVELLED,

SO THAT'S WHERE

WE NEED

TO ROUND.

THERE ARE THREE

DIFFERENT WAYS

WE COULD

ROUND THE NUMBER.

WE COULD ROUND IT

TO THE NEAREST

TEN, NEAREST

100 OR THE NEAREST

1,000.

LET'S START

BY ROUNDING OUR

NUMBER TO THE

NEAREST TEN.

She clicks and a four-column table appears. The columns read "Thousands, Hundreds, Tens, Ones."

She continues FIRST THING

I'LL DO IS WRITE

IN MY NUMBER INTO

MY PLACE VALUE

CHART

OVER HERE.

1,949.

OKAY, AND WHAT

I'LL DO IS

I'M GOING TO

CIRCLE THE DIGIT

IN THE PLACE

VALUE THAT

I'M

ROUNDING TO.

SO IN THIS

CASE,

WE HAVE

TO ROUND IT

TO THE NEAREST

TEN.

SO I'M

GOING TO CIRCLE

THE DIGIT IN THE

TENS PLACE VALUE.

UNDERLINE THE DIGIT

BESIDE IT AND

WE CAN

REMEMBER A LITTLE

ROUNDING RHYME IN

ORDER TO

HELP

US HERE.

IF THE UNDERLINED

DIGIT IS FIVE

MORE,

RAISE THE SCORE.

WHAT THAT MEANS IS

THAT WE HAVE

TO RAISE THE

CIRCLE DIGIT BY ONE,

WHICH MEANS

THIS WOULD

BECOME

A FIVE.

IF THE UNDERLINED

DIGIT IS FOUR

OR LESS, WE

LET THE CIRCLE

DIGIT REST.

IN

OTHER WORDS,

WE JUST LEAVE

IT AS IS.

IN

THIS CASE,

WE'RE GOING TO RAISE

OUR CIRCLE DIGIT

BY ONE,

SO THE FOUR

BECOMES A FIVE,

AND WE REWRITE

THE NUMBER,

EXCEPT

THIS TIME,

EVERYTHING AFTER

THE CIRCLED

DIGIT

BECOMES A ZERO.

SO IF WE ROUNDED

1,949

KILOMETRES TO

THE NEAREST TEN,

WE'D GET

1,950.

LET'S TRY IT

AGAIN BY ROUNDING

TO THE NEAREST

HUNDRED.

The chart clears.

She continues OKAY, THIS

TIME AGAIN,

I'M GOING TO WRITE

MY NUMBER

INTO THE

PLACE VALUE CHART.

NOW WE'RE ROUNDING

TO THE NEAREST

HUNDRED,

SO I'M GOING TO

CIRCLE THE DIGIT

IN THE HUNDREDS

PLACE VALUE,

UNDERLINE THE

DIGIT BESIDE IT.

FOUR MORE, WE'RE

GOING TO

LET

THIS REST.

SO WE LEAVE IT

JUST AS IT IS,

AND THEN

RE-WRITE THE NUMBER,

EXCEPT EVERYTHING

AFTER THE

CIRCLE DIGIT

BECOMES A ZERO.

SO ROUNDING THAT

NUMBER TO THE

NEAREST HUNDRED

BECOMES 1,900.

AND FINALLY,

ROUNDING TO THE

NEAREST

THOUSAND.

THIS IS PRETTY

EASY SO FAR.

WE'RE GOING TO

PUT OUR NUMBER

INTO THE PLACE

VALUE CHART.

ONCE AGAIN,

CIRCLE THE

DIGIT IN THE PLACE

VALUE THAT YOU'RE

ROUNDING TO,

UNDERLINE THE

DIGIT BESIDE IT.

THE UNDERLINED DIGIT

IS FIVE OR MORE,

SO WE'RE GOING

TO RAISE THE SCORE.

WE'RE GOING TO ADD

ONE OVER HERE,

BECOMES A TWO,

AND EVERYTHING

AFTER IT BECOMES

A ZERO.

A conclusion screen appears.

She continues OKAY,

SO TO SUM UP,

THESE ARE THE NUMBERS

THAT WE ROUNDED.

THIS WAS

OUR ACTUAL ANSWER.

IF YOU

NOTICE,

THE HIGHER

THE PLACE VALUE

THAT YOU

ROUND TO,

THE FURTHER

AWAY YOUR ANSWER

GETS FROM THE

ACTUAL ANSWER.

SO IF THE QUESTION

DOESN'T TELL YOU

WHAT NUMBER TO

ROUND TO, YOU DECIDE.

HOW ABOUT

WE CHOOSE,

FOR

OUR PURPOSES,

LET'S CHOOSE TO

ROUND TO

THE

NEAREST TEN.

SO AS MY

ANSWER,

WHAT I CAN

SAY IS THEN THAT:

A blue caption reads "My family will drive about or approximately 1,950 kilometers in total on the trip."

She continues OKAY, SO THANKS FOR

WATCHING TVO KIDS.

I'M TEACHER

SHAHANA AND THE

NEXT TIME YOU

ROUND,

DON'T FORGET

OUR ROUNDING RHYME:

FIVE OR MORE, RAISE

THE SCORE,

FOUR OR

LESS, LET IT REST.

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