Question

Answer the following.(a) A certain solution has a hydrogen ion concentration of 0.0000354 moles per liter. Write this number in scientific notation(b) A black rhinoceros can weigh up to 6.4 x 10^3 pounds. Write this number in standard notation.(a) moles per liter(b) pounds

Answer 1

0.0000354 moles per liter. Write this number in scientific notation:

1. Move the decimal point until there is only one non-zero digit to the left of the decimal point:

`3.54`

2. Count the number of places you moved the decimal point:

5 places

If you moved the decimal to the left the exponent will be positive

If you moved the decimal to the right the exponent will be negative

In the given number you moved the decimal to the right 5 places, then the exponent is -5

`0.0000354=3.54*10^(-5)`

Then, 0.0000354 moles per liter is equal to 3.54x10^-5 moles per liter

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6.4 x 10^3 pounds. Write this number in standard notation:

Multiply the decimal number (6.4) by 10 raised to 3:

`6.4\cdot10^3=6.4\cdot1000=6400`

Then, 6.4 x 10^3 pounds is equal to 6400 pounds