M8.A.1.1
CONVERT DECIMAL TO PERCENT
*When converting TO percent, the decimal goes two places TOWARDS the percent
sign.
Example- 0.123 = 12.3%
1) 0.5 = 50%
6) 0.009 =___________
2) 0.96 = 96%
7) 0.3333 = ___________
3) 0.07 = 7%
8) 0.889 =___________
4) 1.25 = 125%
9) 0.05 =___________
5) 0.975 = 97.5%
10) 1.957 =___________
CONVERT PERCENT TO DECIMAL
*When converting AWAY FROM percent (to decimal), the decimal goes two places
AWAY FROM the percent sign.
Example- 95.42% = 0.9542
1) 4.49% = .049
6) 25.123% = ___________
2) 75% = .75
7) 99.456% =___________
3) 35.2% = .352
8) 0.07% =___________
4) 125.5% = 1.255
9) 4.5% =___________
5) 0.56% = .0056
10) 68.9% =___________
CONVERT FRACTION TO DECIMAL
*Simply divide the numerator BY the denominator. (Using a calculator is easy)
Example- 1 / 8 = 0.125
1) 3 / 4 = 0.75
6) 13 / 69 =___________
2) 51 / 100 = 0.51
7) 11 / 20 =___________
3) 2 / 5 = 0.4
8) 8 / 9 =___________
4) 1 / 6 = 0.16
9) 27 / 50 =___________
5) 7 / 10 = 0.7
10) 13 / 10 =___________
CONVERT DECIMAL TO FRACTION (and reduce)
*Read the decimal as a fraction and reduce
Example- 0.25 = ?
Read this as TWENTY FIVE ONE HUNDREDTHS.
Then write as 25 / 100 and reduce to 1 / 4
1) 0.17 = 17 / 100
6) 0.09 =___________
2) 0.5 = 1 / 2
7) 0.1001 =___________
3) 0.125 = 1 / 8
8) 0.077 =___________
4) 0.85 = 17 / 20
9) 0.99 =___________
5) 1.2 = 1 1/5
10) 0.001 =___________
CHANGE TO SCIENTIFIC NOTATION
Step 1 - Immediately place the decimal after the first non-zero number from the left.
Step 2 - Place “× 10” after this number
Step 3 -The power on the 10 is determined by how many places you moved the decimal
from the original place.
Step 4 - If the original number was greater than 1 then the sign of the power is positive.
If the original number was less than 1 then the sign of the power is negative.
Example 1- 123,456.789 = 1.23456789 × 105
Example 2- 0.0000321 = 3.21 × 10-5
1) 8,000,000 =_________________
6) 392 =____________________
2) 5,378 =____________________
7) 456.0008 =_______________
3) 0.004 =____________________
8) 0.000009 =_______________
4) 0.0004508 =________________
9) 657,009 =________________
5) 10,005.2 =__________________
10) 0.02395605 =_____________
CHANGE TO STANDARD NOTATION
*If the power on the 10 is positive move the decimal to the right (making the number
greater than 1). If the power is negative move the decimal to the left (making the number
less than 1).
Example- 1.23456 × 105 = 123,456
or
6.0 × 10-7 = 0.0000006
1) 4.0 × 105 =__________________
6) 8.0 × 10-7 =_________________
2) 1.006 × 104 =________________
7) 7.999 × 102 =_______________
3) 9.5 × 10-4 =_________________
8) 1.2345567 × 10-1 =___________
4) 8.18345 × 107 =______________
9) 5.4534 × 101 =_______________
5) 2.889 × 10-3 =_______________
10) 3.54243523 × 106 =__________