Scientific Notation and Standard Form
Write in scientific notation:
32,000,000
3.2 x 107
(12.2 x 107) / (2 x 1016)
6.1 x 10-9
Use properties of real numbers to simplify:
0.5 x 436 x 2
(0.5 x 2) x 436 = 1 x 436 = 436
Write each word phrase as a mathematical expression. Then classify each expression as numerical or algebraic.
triple the difference of twelve and nine
3(12-9)
Numerical
Simplify each expression by combining like terms.
d + 3e2 + 5d - 2e2
(d + 5d) + (3e2 + (- 2e2)) =
6d + e2
Write in scientific notation:
0.000268
2.68 x 10-4
(4.7 x 105) (3.3 x 1013)
1.551 x 1019
Use properties of real numbers to simplify:
(14 x 8) + (14 x 2)
14 (8+2) = 14(10) = 140
Write each word phrase as a mathematical expression. Then classify each expression as numerical or algebraic.
eight times the sum of four squared and one
8(42 + 1)
Numerical
Simplify each expression by combining like terms.
4(s -w) + 5(s + 6w - 2)
Distribute first!
4s - 4w + 5s + 30w - 10
(4s + 5s) +(-4w + 30w) - 10
9s + 26w - 10
Write in standard form:
8.67 x 105
867,000
When we multiply with a common base, we _____________ the exponents.
When we divide with a common base, we _____________ the exponents.
add, subtract
Use properties of real numbers to simplify:
3(97)
3(97) = 3(100-3) = 300 - 9 = 291
Write each word phrase as a mathematical expression. Then classify each expression as numerical or algebraic.
Twice a number squared, plus the product of nine and twenty-four.
2n2 + (9 x 24)
Evaluate each expression when x = 3, y = 7
6x - (5 + y)
6(3) - (5 + 7)
18 - (12) = 6