Science to Standard
What is 7.45 * 106 in Standard Form?
What is: 7,450,000
How solved: Move decimal 6 places to the right
How is 89,000 written in Scientific Notation?
What is: 8.9 * 104
How solved: Move decimal to make 8.9, count decimal places (4).
A tree is 9.0 × 102 inches tall. A building is 1.5 × 104 inches tall.
How many times taller is the building than the tree, rounded to the nearest whole number?
What is: 17
Solution: 1.5*104 / 9*102
1.5*104 =15,000
9*102=900
15,000/900=16.66 = rounded up 17
(1.26*102)(1.5*102)
What is: 18,900 or 1.89*104
Solved:
Step 1: 1.26*1.5=1.89
Step 2: E2+E2=E4
(-2x3)4 =
16x12
Solution: (-2x3)4
Step 1: -24=-2*-2*-2*-2=16
Step 2: x3*x4 = 3*4=x12
What is 1.25 * 10-4 in Standard Form?
What is: 0.000125
How Solved: Move decimal 4 places to the left
How is 0.00027 written in Scientific Notation?
What is: 2.7 * 10-4
How solved: Move decimal to make 2.7, count decimal places (4) moved.
Earth has a mass of about 6 × 1024 kg. The Sun has a mass of about 2 × 1030 kg.
How many times larger is the mass of the Sun than the mass of Earth, rounded to the nearest whole number?
What is: 333,333
Solution: 2*1030 / 6*1024
Step 1: 2/6=0.333333Step 2: E30-E24=6
Scientific Form: 3.33333*106(2*103)(3*102)
What is: 600,000 or 6*105
Solution: (2*103)(3*102)
Step 1: 2*3 = 6
Step 2: E3+E2=E5
Solution: 6*105
8x8 / 4x3
X8-x3=x5
2x5
What is 9.25 * 108 in Standard Form?
What is: 925,000,000
How Solved: Move decimal 8 places to the right
How is 46,500,000 written in Scientific Notation?
What is: 4.65 * 107
How solved: Move decimal place to make 4.65, count the decimal spaces (7).
Hurricane Sandy cost about 6.5 × 1010 dollars in damages. Hurricane Katrina cost about 1.08 × 1014 dollars in damages.
How many times more did Hurricane Katrina cost than Hurricane Sandy, written in Scientific Form?
What is: 1.66*103
How Solved: 1.08*1014 / 6.5*1010
Step 1: 1.08/6.5=0.166
Step 2: E14-E10=E4
Step 3: 0.166*104 (Not Correct Scientific Notation)
Step 4: Move decimal to 1.66 and subtract 1 from E4 = 1.66*103
(1.3*104)(2.4*102)
What is: 3.12*106 or 3,120,000
Step 1: 1.3*2.4=3.12
Step 2: E4+E2=E6
5x3
Solution: 55/11 = 5
E5-2=E3
What is 3.456 * 1011 in Standard Form?
What is: 345,600,000,000
How solved: Move the decimal 11 places to the right
How is 0.00000356 written using Scientific Notation?
What is: 3.56 * 10-6
How Solved: Decimal moved to make number 3.56, count the decimal places (6)
The circumference of Earth is approximately 2.49 x 104 miles.
If Philip traveled around the circumference of Earth 20 times, what would be the approximate number of miles (written in Scientific Notation) he traveled?
Step 1: 2.49*104= 24,900
Step 2: 24,900*20=498000
Step 3: 4.98*105
(5*103)(6.27*104)
What is: 3.135*108 or 313,500,000
(4x2y3)4
256x8y12
Solution: 44=256
X2*4=x8
y3*4=y12
What is 5.83 * 10-7 in Standard Form?
What is: 0.000000583
How solved: Move decimal 7 places to the left.
How is 9,705,300,000,000 written in Scientific Notation?
How solved: Move decimal to make 9.7053, count the decimal places moved (12)
The average size of an atom is 1 × 10-10 meter. The average size of a plant cell is 1.2 × 10-5 meter.
About how many times smaller is the average atom than the average plant cell?
What is: 120,000 or 1.2*105
How solved: 1.2*10-5 / 1*10-10
Step 1: 1.2/1=1.2
Step 2: E-5-E-10= (-5--10=5)=E5
Step 3: 1.2*105 or 120,000
(8.5*104)(5.5*105)
What is: 4.675*1010
Solution: 8.5*5.5=46.75
E4+E5=E9 move decimal 1 place to the left E1+E9=E10
Bonus:
Which way does the decimal move if it is -?
Answer:
When writing in Standard Form the decimal goes to the left if it is a - Exponent.