Math Test 1 Flashcards
Exponent Form
W^5
Expanded form
3^3 = 3x3x3
Solve
2(19-17)^3 - 3(-7+9)^2
2(2)^3 -3(2)^2
2(8)-3(4)
16-12
4
Solve
-7(-1) + (-3)(4
_________________
-2)(5) + (-6)(-8)
7+(-12)
________
-10+48
= -5
___
38
LCM
36, 21, 45
- 45
7x3. 9 x 5
6 x 6. 3x3
2x3 2x3
- 45
2x2x3x3x5x7= 1260
Adding fractions
- 3
_ + _
6 8
Find the LCM
24
Leave that on the bottom M x 6 = 24? 4 M x 8 = 24? 3
Put on top. Add then simplify
Subtracting
Do the same process as adding
Adding and subtracting mixed numbers
Remain the same process as adding and subtracting normal fractions. Then add or subtract the big numbers and leave it in the front
Adding and subtracting mixed numbers with a bigger numerator than denominator as the answer
Once you’ve solved the problem and you have a bigger numerator you then take that small fraction and split it into two with the numerators being the two numbers that equaled that big one number. Add and simplify that. As for the box number on the left, add one to that for your new final answer
Multiplying fractions
Multiply straight across and simplify
Dividing fractions
Flip the second fraction and change it to multiplication
Word problems
- Let statement
- Write the equation
- Work
- Answer with units
Adding and subtracting decimals
Always make sure the decimal points line up!!!
Right side of a decimal
Tenths, hundredths, thousandths, ten thousandths, hundred thousands, millionths
Left side of a decimal
Ones, tens, hundreds, thousands, 10 thousands, 100 thousands, millions
Convert decimal to fraction
0.897
Divide by however many numbers are right of the decimal.
Numbers = zeros
897
____
1000
Convert into a fractions
0.18
100
= 9
—
50
Rounding to the nearest 10
10,374
10,370
-
Rounding to the nearest 10
981.376
980.000
-
Percent to decimal
45%
Divide by 100
45/100 = .45
Percent to decimal
9%
9/100 = .09
To get rid of a ____ we, ____
Percent, divide by 100
Convert to a percent
.55
.55x100 = 55%
Convert to a percent
.04
.04x100 = 4%
Convert to decimal
.2%
2/100 = .002
Convert to a decimal
653%
6.53%
Fraction to a percent
Divide the top number by the bottom number
Product property
X^a • X^b
X^a+b
Dividing powers
X^a
____
X^b
X^a-b
Power property
(X^a)^b
X^a•b
Precision
The smallest unit with which the measurement is made (position of last SD)
