Q. How do you write 5.38×104 in standard form?_____
Move Decimal Point: To write the number 5.38×104 in standard form, we need to move the decimal point 4 places to the right, because the exponent on 10 is 4. This is because multiplying by 104 is the same as multiplying by 10 four times, which shifts the decimal point four places to the right.
Add Zeros if Needed: We start with 5.38 and move the decimal point 4 places to the right. This gives us 53800. If there are not enough digits to move the decimal point the required number of places, we add zeros to fill in the gaps.
Final Standard Form: After moving the decimal point, we have the number in standard form: 53800. There is no need to write the trailing zeros after the decimal point since they do not affect the value of the number.