If 0.000005257=A×10^n where A is between 1 and 10 and n is an integer, write down the values of A and n,
5.257 * 10^-6
This is standard scientific notation.
A=5.26,n=26 but please i need the workings please
To find A and n we need to move the decimal place of the number 0.000005257 to the right until we get a number between 1 and 10.
We start by moving the decimal point 1 place to the right:
0.000005257 x 10 = 0.00005257
This number is still not between 1 and 10, so we move the decimal point one more place to the right:
0.000005257 x 100 = 0.0005257
This number is still not between 1 and 10, so we move the decimal point one more place to the right:
0.000005257 x 1000 = 0.005257
This number is between 1 and 10, with A = 5.257. To get n, we count the number of places we moved the decimal point to the right. We moved it 4 places, so n = -4.
Therefore, 0.000005257 = 5.257 × 10^-6 in scientific notation.
To find the values of A and n, we need to understand scientific notation. Scientific notation represents a number as the product of a coefficient (A) and a power of 10 (10^n). In this case, we have the number 0.000005257 represented in scientific notation.
To determine A and n, we can follow these steps:
Step 1: Count the number of decimal places after the leading zero. In this case, there are six decimal places.
Step 2: Move the decimal point six places to the right to get a number between 1 and 10. This gives us 5.257.
Step 3: Since we moved the decimal point six places to the right, we need to have a negative exponent for 10. The exponent should equal the number of decimal places moved. Therefore, n = -6.
So, when 0.000005257 is written in scientific notation, it can be expressed as A × 10^n, where A = 5.257 and n = -6.