Transcript Enrichment Whole Numbers

ENRICHMENT FOR
WHOLE NUMBERS
Alcorn
A small city has seven schools. The number of students attending the schools are
shown in the table below.
All together
means you
A. How many school age children are there in the city all together?
add.
B. If the population of the elementary, middle, and high school age children
represent about 1/3 of the total population of the city, estimate the total population
of the city to the nearest hundred. Express your answer using a number multiplied
by a power of ten.
C. Comparing the number of elementary school students to the number of high
school students, would you conclude that the population of this city is increasing or
decreasing?
Write the numbers on
your paper and find the
sum. Be sure to line
them up properly. What
did you get? Check your
answer on the next
slide.
School
Population
Everest Elementary
1,240
Mountain Elementary
1,410
Valley Elementary
1,330
Meadow Middle School
1,985
Pine Middle School
2,115
Oak View High School
2,095
Maple High School
2,215
2 22
1,240
1,410
1,330
1,985
2,115
2,095
+2,215
12,390
Did you get it
right?
In the ones column 0, 0, 0, 5, 5, 5, and 5 has a sum of 20. Carry the 2 to the
tens column and write the 0 below.
Then, in the tens column 4, 1, 3, 8, 1, 9, 1, and the 2 you carried over has a
sum of 29. Carry the 2 to the hundreds column and write the 9 below.
Next, in the hundreds column 2, 4, 3, 9, 1, 0, 2, and the 2 you carried over has
a sum of 23. Carry the 2 to the thousands column and write the 3 below.
Finally, in the thousands column 1, 1, 1, 1, 2, 2, 2, and the 2 you carried over
has a sum of 12. Instead of carrying the 1, write 12 down below the line. The
comma goes between the 3 and 2.
B. If the population of the elementary, middle, and high school age children represent
about 1/3 of the total population of the city, estimate the total population of the city to
the nearest hundred. Express your answer using a number multiplied by a power of ten.
9 is bigger than 5,
so bump the 3 up
one!
12,390
3 is in the
hundreds
place.
You have to round (estimate) the answer to
question A First. Find the hundreds place. Look
to the right. Five and up move it up. Four and
below, let it go. What do you think the answer
is? Write it down.
Any easy way to think of this
is to ask yourself, “Is 390
closer to 300 or 400?”
The 3 is in
the hundreds
place and
immediately
to the right is
a 9. So,
bump the 3
up to 4. The
answer was
12,400
students.
Did you get it
right?
B. If the population of the elementary, middle, and high school age children
represent about 1/3 of the total population of the city, estimate the total population
of the city to the nearest hundred. Express your answer using a number multiplied
by a power of ten.
Next, you need to
understand that we’ll
have to multiply the
estimate you just came
up with by 3 to find out
the total population.
That’s because only 1/3 of
the population is
represented by the kids.
1/3 + 1/3 + 1/3 is 3/3 or 1
whole.
1
12,400
X
3
37,200
people
Did you get it
right?
Write your numbers
down. Be sure to put
the three on the
bottom and line the
numbers up. Find the
product. What did
you get?
B. If the population of the elementary, middle, and high school age children represent about
1/3 of the total population of the city, estimate the total population of the city to the nearest
hundred. Express your answer using a number multiplied by a power of ten.
37,200
Did you write 372?
372 is the
base
number
2 is an
exponent
2
372 x 10
In order to write your answer
using the power of ten you
must first write down the base
number. Remember you are
using 37,200. Write the base
number down now.
Next, count the zeroes.
Did you get 2?
Did you get it right?
Finally, write the base number X
10 with the number of zeroes as
an exponent next to the 10.
C. Comparing the number of elementary school students to the number of high
school students, would you conclude that the population of this city is increasing or
decreasing?
Finally, we’re on part C. When
you compare numbers you
figure out which one is bigger
and which one is smaller. In
order to do that we must find
out how many elementary
students there are in all. We
must add.
Line up the three
numbers correctly
and find the sum.
What did you get?
1,240
1,410
+1,330
3,980
Did you get it
right?
School
Population
Everest
Elementary
1,240
Mountain
Elementary
1,410
Valley
Elementary
1,330
Meadow
Middle School
1,985
Pine Middle
School
2,115
Oak View High
School
2,095
Maple High
School
2,215
C. Comparing the number of elementary school students to the number of high
school students, would you conclude that the population of this city is increasing or
decreasing?
Now you have to find the sum of
the high school students. Be
sure to line the numbers up
correctly.
Now, compare your two numbers. Which
one is smaller? Is the elementary smaller,
or is the high school smaller?
1 1
2,095
+2,215
4,310
Did you
get it
right?
School
Population
Everest
Elementary
1,240
Mountain
Elementary
1,410
Valley
Elementary
1,330
Meadow
Middle School
1,985
Pine Middle
School
2,115
Oak View High
School
2,095
Maple High
School
2,215
C. Comparing the number of elementary school students to the number of high
school students, would you conclude that the population of this city is increasing or
decreasing?
Did you get it right?
Getting Smaller
4 thousand is more
than 3 thousand, so
there are more high
school students.
Getting Bigger
3,980 elementary versus 4,310 high school
students? What did you say?
Lastly, you need to decide if the population of the city is increasing or decreasing….
Well, if there are less young people that would mean…..The population is getting smaller. The
“big” vocabulary word for this is decreasing