Transcript Percent and Estimation

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Objective
Estimate by using equivalent fractions,
decimals, and percents
Vocabulary
Compatible numbers
Two numbers that are easy to divide mentally
Math
Symbols
Approximately equal to

Example 1 Estimate Percents of Numbers
Example 2 Estimate Percents of Numbers
Example 3 Estimate Percents of Numbers
Example 4 Estimate Percents
Example 5 Estimate Percents
Example 6 Estimate Percents
Example 7 Estimate Percent of an Area
Estimate 48% of 70.
Write the problem
48% of 70
Round 48% to 50%
50%  70
70 is a compatible number (easy
to figure)
35
50% represents half of
something
Half of 70 is 35
Answer:  35
1/7
Estimate 51% of 60.
Answer:  30
1/7
Estimate 75% of 98.
Write the problem
75% of 98
Round 75% to either 70% or 80%
70%  100
Round 98 to 100
7000
7
100
Multiply the non-zero digits 7  1
70
Remove the % and divide by 100
Bring down the 3 zeros
Cancel zeros
Answer:  70
2/7
Estimate 25% of 33.
Answer:  8
2/7
Estimate 12% of 81.
Write the problem
12% of 81
Round 12% to 10%
10%  80
Round 81 to 80
800
8
100
Multiply the non-zero digits 1  8
Bring down the 2 zeros
Remove the % and divide by 100
Cancel zeros
Answer:  8
3/7
Estimate 37% of 17.
Answer:  8
3/7
Estimate the percent 12 out of 47.
What % is 12 out of 47
Write the problem
10
50
Round 12 to 10 and put in
numerator
1
5
Round 47 to 50 and put in
denominator
0.20
Answer:  20%
Cancel out zeros
Divide numerator by
denominator
Multiply by 100 and put %
4/7
Estimate the percent 15 out of 76.
Answer:  20%
4/7
Estimate the percent 19 out of 31.
What % is 19 out of 31
20
30
0.666 . . .
Answer:  66.6%
Write the problem
Round 19 to 20 and put in
numerator
Round 31 to 30 and put in
denominator
Cancel out zeros
Divide numerator by
denominator
Multiply by 100 and put %
5/7
Estimate the percent 14 out of 47.
Answer:  20%
5/7
Estimate the percent 41 out of 200.
What % is 41 out of 200
Write the problem
40
200
Round 41 to 40 and put in
numerator
0.20
200 is compatible with 40
so put in denominator
Answer:  20%
Cancel out zeros
Divide numerator by
denominator
Multiply by 100 and put %
6/7
Estimate the percent 11 out of 100.
Answer:  10%
6/7
ART An artist creates a design on a grid. Estimate
the percent of the grid that has been painted so far.
4+1+
Estimate how many squares
are shaded
4 mostly shaded
2 partly shaded to make 1
7/7
ART An artist creates a design on a grid. Estimate
the percent of the grid that has been painted so far.
4+1+1
6
2 partly shaded to make 1
Add the shaded and put in
numerator
7/7
ART An artist creates a design on a grid. Estimate
the percent of the grid that has been painted so far.
4+1+1
6
20
0.30
Count the total number of
squares and put in
denominator
Divide numerator by
denominator
7/7
ART An artist creates a design on a grid. Estimate
the percent of the grid that has been painted so far.
4+1+1
6
20
0.30
30%
Multiply by 100 and add %
Answer:  30% shaded
7/7
*
ART An artist creates a design on a grid. Estimate
the percent of the grid that has been painted so far.
Answer:  35% shaded
7/7
Assignment
Lesson 5:5 Percent and Estimation
11 - 34 All