Answer:
Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
• For any non-zero integer a, a–m 1
m a
=
• Laws of exponents are
(a) am × an = am+n
(b) am ÷ an = am–n
(c) (am)
n = amn
(d) am × bm = (ab)
m
(e) a° = 1, where a ≠ 0
(f)
m m
m
a a
b b
=
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.
Step-by-step explanation:
Example 1 : Multiplicative inverse of 27 is
(a) 2–7 (b) 72 (c) – 27 (d) – 27
Solution : The Correct answer is (a).
Example 2 : The human body has about 100 billion cells. This number
can be written in exponential form as
(a) 10–11 (b) 1011 (c) 109 (d) 10–9
Solution : The correct answer is (b).
In examples 3 to 5, fill in the blanks to make the statements true.
Example 3 :
4
4 5 (– 4) ______ 4
× =
Solution : 54
Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =
Solution : 6–6
Example 5 : The distance between earth and sun is 150 million
kilometres which can be written in exponential form as
_______.
Solution : 1.5 × 108 km
In examples 6 and 7, state whether the statements are true (T) or false (F):
Example 6 : Very small numbers can be expressed in standard form
using positive exponents.
Solution : False.
Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4
Solution : False.
Step-by-step explanation:
Find length
__
AB
A:-6
B: 8
To find the distance between those two points you would need to
do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.
Answer:
14 = AB
Step-by-step explanation:
When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers
or you can set up the expression---
| -6-8 |
which equals
| -14 |
or
14
because 14 is the same as | -14 |
PLEASE HELP WILL MARK BRAINLIEST
Paul graphs the equation y = 24.
Where does his graph intersect the y-axis?
(0,1)
(1,0)
(0,0)
(2,0)
(0,0)
Step-by-step I took the test
Identify the domain of the function shown in the graph.
Answer:
C. x is all real numbers.
Step-by-step explanation:
Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.
Anyone? Got an ideas
Evaluate 3x when x = -8.
x = -8
3x = 3 · (-8) = -24
.......
Yea also all of this
Answer:
yea I cant really do this over a screen
Answer:
16) photo
Step-by-step explanation:
- parallel lines never meet (a, b, c have no points in common)
- perpendicular lines meet other lines at one point, forming two angles of 90 °
Use partial products and the distributive property to calculate the product. Use paper to show your work.
300\times 41.9300×41.9
Answer:
22054.36
Step-by-step explanation:
x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z
Answer:
418
Step-by-step explanation:
please make me brainlist
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
