Estimate percents of numbers
key notes :
πΉ What is Percent?
Percent (%) means βper 100β.
Example: 25% = 25 out of 100.
πΉ Estimating Percents:
Estimating means finding an approximate value instead of the exact one.
Helpful when you want a quick answer without a calculator.
πΉ Easy Percent Conversions:
10% β divide by 10
50% β divide by 2
25% β divide by 4
1% β divide by 100
Example: 10% of 260 β 260 Γ· 10 = 26 β
πΉ Steps to Estimate Percent of a Number:
Round the number to a friendly number. π’
Use easy percents like 10%, 25%, 50%. β¨
Multiply or divide to get the estimated answer. π‘
πΉ Example:
Find ~20% of 78
Round 78 β 80
10% of 80 β 8
20% β 8 Γ 2 = 16 π―
πΉ Tips & Tricks:
Break tricky percentages into smaller parts:
30% = 10% + 10% + 10%
18% β 20% (for estimation)
Always check if your answer makes sense:
50% of 100 β ~50 β , 50% of 10 β ~5 β
πΉ Visual Emoji Aid:
π 50% of 8 apples = 4 apples
π° 25% of 12 slices = 3 slices
π 10% of 30 balls = 3 balls
πΉ Why Estimation is Useful:
Quick shopping calculations π
Checking homework answers βοΈ
Making decisions fast π
Learn with an example
Which is the most accurate way to estimate 26% of 45?
- 3/4Γ44
- 1/4Γ44
- 2/3Γ44
- 1/3Γ44
The most accurate way to estimate 26% of 45 is 1/4Γ44.Here is why:
Replace 26% with the nearest common fraction.
26% of 45 —->1/4Γ45
Replace 45 with a number that is compatible with 4.
1/4Γ45—–>1/4Γ44
The most accurate way to estimate 26% of 45 is to multiply 1/4*44.
Compare your estimate to the exact answer:
Estimate:26% of 45β1/4Γ44=11
Exact answer :26% of 45=0.26Γ45=11.7
Which is the most accurate way to estimate 33% of 98?
- 2/3Γ99
- 1/4Γ96
- 1/3Γ99
- 3/4Γ96
The most accurate way to estimate 33% of 98 is 1/3Γ99.Here is why:
Replace 33% with the nearest common fraction.
33% of 98 —->1/3Γ98
Replace 98 with a number that is compatible with 3.
1/3Γ98—–>1/3Γ99
The most accurate way to estimate 33% of 98 is to multiply 1/3*99.
Compare your estimate to the exact answer:
Estimate:33% of 98β1/3Γ99=33
Exact answer :33% of 98=0.33Γ98=32.34
Which is the most accurate way to estimate 67% of 82?
- 1/3Γ81
- 2/3Γ81
- 3/4Γ81
- 1/2Γ81
The most accurate way to estimate 67% of 82 is 2/3Γ81.Here is why:
Replace 67% with the nearest common fraction.
67% of 82 —->2/3Γ82
Replace 82 with a number that is compatible with 3.
2/3Γ82—–>2/3Γ81
The most accurate way to estimate 67% of 82 is to multiply 2/3*81.
Compare your estimate to the exact answer:
Estimate:67% of 82β2/3Γ81=54
Exact answer :67% of 82=0.67Γ82=54.94
let’s practice!

