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02-NEM6 WBAns 8/8/05 3:21 PM Page 11
CHAPTER 2
1 Goal
Exploring Greater Numbers Compare numbers to one million.
A bumblebee can flap its wings about 200 times per second. A dragonfly can flap its wings about 38 times per second. 1. Predict how many times a dragonfly flaps its wings in 1000 s. Suggested answer: about 40 000 times I rounded 38 to 40 to estimate. 40 x 1000 = 40 000
At-Home Help A million is a number that is 1000 thousands. 1 000 000 To estimate an answer to a problem, use numbers that are close to the values in the problem that are easier to work with. For example, if a problem involves comparing times in weeks to years, use about 50 weeks in a year.
2. About how many hours would it take for a dragonfly to flap its wings 1 000 000 times? Show your work. Suggested answer: A dragonfly would have to flap its wings for about 25 000 s. 1 000 000 ÷ 40 = 25 000 60 s x 60 min = 3600 s in an hour I’ll round 3600 s to 4000 s to estimate. 25 000 ÷ 4000 = about 6 A dragonfly would take about 6 h to flap it’s wings 1 000 000 times. 3. a) About how many times can a bumblebee flap its wings in 1000 min? Suggested answer: In 1 min the bee flaps its wings about 200 x 60 = 12 000 times. So, in 1000 min the bee flaps its wings about 12 000 000 times.
b) How many 1000 thousands is your answer in part a)? twelve 1000 thousands
Reading and Writing Numbers Read, write, and describe numbers greater than 100 000.
1. Write each number in standard and expanded form. a)
Millions Hundreds
Tens
Thousands Ones
Hundreds
Tens
Ones Ones
Hundreds
Tens
Ones
At-Home Help To read and write large numbers, we group the digits in periods. A period is a group of hundreds, tens, and ones. For example, the place value chart below shows three periods.
204 010 200 000 + 4000 + 10
Hundreds
b)
Millions Hundreds
Tens
Thousands Ones
Hundreds
Tens
third period
second period
Millions
Thousands
Tens
Ones
Hundreds
Tens
first period Ones Ones
Hundreds
Tens
Ones
Ones Ones
Hundreds
Tens
Ones
The number modelled above is 384 400 in standard form.
1 329 027 1 000 000 + 300 000 + 20 000 + 9000 + 20 + 7 2. Write each number as a numeral in standard form.
In expanded form, the number is 300 000 80 000 4000 400. The number in words is three hundred eighty-four thousand four hundred.
a) four hundred forty thousand twenty-six 440 026 b) twenty-two thousand eight 22 008 c) seven hundred thirty-one thousand three hundred five 731 305 3. Write the words for each number. a) 304 000 three hundred four thousand b) 21 000
twenty-one thousand
c) 12 600 twelve thousand six hundred 4. The sun in our solar system takes about 240 million years to orbit once around the centre of the Milky Way galaxy. Write that number of years in standard form. 240 000 000
