Ten
Representing Numbers
Place Value
Rounding
Estimating
100

How many tens are in 10 000?

1000

100

Write this number in standard form:

two hundred thirty thousand seventy

230 070

100

What is the value of the underlined digit?

34 980

Place: hundreds

Value: nine hundred / 900

100

What is the rule for rounding?

1-4 rounds down to the last 0

5-9 rounds up to the next 0

100

If a library has 3456 books and 1234 books are checked out, approximately how many books remain in the library?

3456 - 1234 = 2222

Rounding to the nearest...

Tens: 3460 - 1230 = 2230

Hundreds: 3500 - 1200 = 2300

Thousands: 3000 - 1000 = 2000



200

How many hundreds are in 1 000 000?

10 000

200

Write this number in standard form:

20 000 + 3000 + 300 + 70 + 4

23 374

200

What is the place value of the underlined digit?

7 676 767

Place: millions

Value: seven million / 7 000 000

200

Round this number to the nearest thousand:

525 600

525 000

200

If there are 795 houses in a neighbourhood and the average family size is 6 people, estimate how many people live in the neighbourhood.

795 --> rounds up to 800

800 x 6 = 4800

About four thousand eight hundred people live in the neighbourhood

300

If you hit your reading goal of 100 pages every week, how many weeks will it take for you to read 4000 pages?

4000 ÷ 100 = ?

40XX ÷ 1XX = ?

40 ÷ 1 = 40

It would take 40 weeks to read 4000 pages.

300

Write this number in word form:

237 004

two hundred thirty-seven thousand four

300

Which digit is in the hundreds place:

2 345 089

:-) hehe

300

Round this number to the nearest ten thousand:

4 891 760

4 890 000

300

In 2021, the population of Winnipeg was 834,678. Experts predict that by the end of 2025, our population will reach 854,100. Estimate how much our population has grown since 2021.

854 100 - 834 678 = ??

Estimations if we round to the nearest...

Tens: 854 100 - 834 680 = 19 420

Hundreds: 854 100 - 834 700 = 19 400

Thousands: 854 000 - 835 000 = 19 000

Ten Thousands: 850 000 - 830 000 = 20 000

Hundred Thousands: 900 000 - 800 000 = 100 000

**BONUS POINTS: Which benchmark gives the most accurate estimate, and why?





Real answer: 19 422


400

Morah Halley probably eats about 300 pickles every year. How many pickles will she have eaten by the time she turns 30?

300 x 30 = ?

300 x 30 = ? --> three 0s total

and we know that 3 x 3 = 9

so...

300 x 30 = 9000

Morah Halley will have eaten 9000 pickles by the time she turns 30

400

Write this number in expanded form:

237 074

200 000 + 3000 + 70 + 4

400

Which digit is in the hundred thousands place:

1 234 568

2

400

Tell me three numbers that could be rounded to:

8 700

?????

(lots of different answers!)

400

a) Make two 6-digit numbers using the following digits -- the GREATEST possible 6 digit number and the LEAST:

3, 4, 5, 6, 1, 8

b) Estimate the sum of the two numbers

c) Estimate the difference between the two numbers

a) Greatest: 865 431 Least: 134 568

b) 865 431 + 134 568 = 999 999

Rounding to the nearest...

Tens: 865 430 + 134 570 = 1 000 000

Hundreds: 865 400 + 134 600 = 1 000 000

Thousands: 865 000 + 135 000 = 1 000 000

Ten Thousands: 870 000 + 140 000 = 1 010 000

Hundred Thousands:
900 000 + 100 000 = 1 000 000

b) 865 431 - 134 568 = 730 863

Rounding to the nearest...

Tens: 865 430 - 134 570 = 730 860

Hundreds: 865 400 - 134 600 = 730 800

Thousands: 865 000 - 135 000 = 730 000

Ten Thousands: 870 000 - 140 000 = 730 000

Hundred Thousands:
900 000 - 100 000 = 800 000

500

Morah Halley and Morah Lilia say the word "OY" to each other about 250 times a day. How many days would it take for Morah Lilia and Morah Halley to say "OY" 500 000 times?

500 000 ÷ 250 = ?

500 00X ÷ 25X = ?

50 000 ÷ 25 = 2000
        2 000       
25| 50 000
    - 50.            
        0

500

Order the following numbers from least to greatest:

a) 700 000 + 3000 + 200 + 4

b) three hundred twenty thousand forty

c) 732 004

d) 70 000 + 3000 + 300 + 20 + 4

a) 703 204         b) 320 040         

c) 732 004         d) 73 324

Ordered least to greatest:

73 324, 320 040, 703 204, 732 004

500

Two part question:

a) What number has 7 tens, 8 ten thousands, 3 hundreds, 4 thousands, and 9 millions?

b) How many tens fit into this number? Write the answer in words.
ex) three hundred twenty (320) tens fit into three thousand two hundred (3200)

a) 9 084 370

b) 9 084 370 ÷ 10 = ?

9 084 37X ÷ 1X = ?

908 437 ÷ 1 = 908 437

nine hundred eight thousand four hundred thirty-seven tens fit into nine million eighty-four thousand three hundred seventy

500

Tell me three numbers that could be rounded to:

8 730 980

?????

(lots of different answers!)

500

Morah Halley is selling tickets to her fabulous grand art exhibition and everyone in the WORLD wants to come (because she is SO cool, obviously). 

On the first day, she sold 36 824 tickets.
On the second day, she sold 42 598 tickets.

a) Did Morah Halley sell more tickets on the first day or the second day? Estimate how many more.

b) Estimate how many tickets were sold in total

c) Estimate how many tickets Morah Halley would need to sell on the third day to have sold 100 000 tickets all together.

a) 42 598 > 36 824

42 598 - 36 824 = 5774

Rounding to the nearest...

Tens: 42 600 - 36 820 = 5780

Hundreds: 42 600 - 36 800 = 5800

Thousands: 43 000 - 37 000 = 6000

Ten Thousands: 40 000 - 40 000 = 0

b) 42 598 + 36 824 = 79 422

Rounding to the nearest...

Tens: 42 600 + 36 820 = 79 420

Hundreds: 42 600 + 36 800 = 79 400

Thousands: 43 000 + 37 000 = 80 000

Ten Thousands: 40 000 + 40 000 = 80 000

c) 100 000 - 79 422 = 20 578

Using our estimates from rounding to...

Tens: 100 000 - 79 420 = 20 580

Hundreds: 100 000 - 79 400 = 20 600

Thousands: 100 000 - 80 000 = 20 000

Ten Thousands: 100 000 - 80 000 = 20 000

M
e
n
u