Estimations
723,230,856
Rewrite this number as a single digit estimate multiplied by a power of ten.
7 x 108
350 = 3.5 x 101
350 = 3.5 x 102
OR
35 = 3.5 x 101
A scientist discovers a colony of bacteria that grows from 250 individual organisms to 2,500 organisms in one day. Express the total population after one day in scientific notation.
2.5 x 103
Compare 1 x 103 and 1 x 10-2. How many times greater is 1 x 103 than 1 x 10-2?
105 times greater
OR
100,000
Elsie
0.0057
Rewrite this number as a single digit estimate multiplied by a power of ten.
6 x 10-3
2.3 x 104 = 230,000
2.3 x 105 = 230,000
OR
2.3 x 104 = 23,000
The distance from Earth to the Sun is approximately 93,000,000 miles. A student wants to represent this distance in scientific notation for an astronomy project. Help the student convert this number.
9.3 x 107
A bacteria population starts at 5 × 102 and grows to 5 × 104. How many times greater is the final population compared to the initial population?
102 times greater
OR
100 times greater
What month was I born?
May
4 x 103
This is a number that was rewritten as a single digit estimate multiplied by a power of ten. Give an example of a standard form number that could be rewritten to look like the estimation above.
*answers may include any number that rounds to 4,000*
0.00456 = 4.56 x 102
0.00456 = 4.56 x 10-3
OR
456 = 4.56 x 102
A researcher is studying a protein that has a mass of 0.0000567 grams. Express this mass in scientific notation to help record the precise measurement in the lab notebook.
5.67 x 10-5
The distance light travels in 1 second is 3 × 108 meters. The distance an ant walks in one second is 5 × 10-3 meters. How many times greater is the distance light travels compared to the distance the ant walks?
1011 times greater
OR
100,000,000,000
Who was my 8th grade math teacher?
Mrs. Regina Wright
8 x 10-4
This is a number that was rewritten as a single digit estimate multiplied by a power of ten. Give an example of a standard form number that could be rewritten to look like the estimation above.
*Answers may include any number that rounds to 0.0008*
7.89 x 10-3 = 0.000789
7.89 x 10-3 = 0.00789
OR
7.89 x 10-4 = 0.000789
A new computer hard drive can store 4,560,000,000 bytes of data. The marketing team wants to express this capacity in scientific notation for a product brochure. Help them convert the number.
4.56 x 109
In a chemical reaction, the initial concentration is 2 × 10-5 moles/liter. After the reaction, the concentration becomes 4 × 10-3 moles/liter. How many times greater is the final concentration compared to the initial concentration?
2 x 102 times greater
OR
200 times greater
What was my least favorite subject in school?
ELA
234,567 is rewritten as a single digit estimate multiplied by a power of ten. It is rewritten as 2 x 10n. What would be the value of n that would make this statement true?
n = 5
5,600,000 = 5.6 x 103
5,600,000 = 5.6 x 106
OR
5,600 = 5.6 x 103
If one light-year is 5.88 × 10¹² miles, and a student needs to write all of their answers in standard form, what should the student write as their answer?
5,880,000,000,000
A microchip's transistor size shrinks from 1 × 10-4 meters to 2 × 10-6 meters. How many times less is the final transistor size compared to the initial size?
5 x 101 times less
OR
50 times less
What job did I want to have when I graduated high school?
Pharmacist