Final answer:
The number equal to (4×100) + (1×10) + (3×1) + (6×1/10) is 413.6. The calculation involves simple arithmetic and understanding of multiplying and dividing by powers of ten. This is a middle school level mathematics problem.
Step-by-step explanation:
The question asks us to find the number that is equal to (4×100) + (1×10) + (3×1) + (6×1/10). To solve this, we calculate each part separately: 4×100 is 400; 1×10 is 10; 3×1 is 3; and 6×1/10 is 0.6. Adding these together gives us 400 + 10 + 3 + 0.6 which equals 413.6.
When dividing or multiplying by powers of 10, remember that moving the decimal point to the left divides the number by ten each time, while moving it to the right multiplies it by ten for each move. Hence, 1.9436 can be represented as 19436×10-4 or 1.9436×100 to showcase its relation to powers of ten.
If we apply the same logic to multiply by powers of ten as shown above, multiplying two numbers in scientific notation, such as (4.506×104) * (1.003×102), would simply mean you add the exponents of their powers of ten. The answer would have an exponent of 106 (4+2), and you would multiply 4.506 by 1.003 for the coefficient.