Question

Write the number 5, point, 3, times, 10, to the power 45.3×10
4
in standard form.

Answer 1

First evaluate the exponent:
45.3 × 10^4 = 45.3 × 10000 = 453000.

So the number is 5.3 × 10^453000.

Writing this in ordinary (standard) decimal form means moving the decimal point 453000 places to the right. That gives the integer

53 followed by 452,999 zeros.

(Equivalently, 5.3 × 10^453000 = 53 × 10^452999, an integer with 453,001 digits.)