145.75+(2.3 x 10^-1) using number of significant figures
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When you add numbers, you keep the rightmost significant figures. In this case, you are adding two numbers with two significant digits to the right of the decimal (so, everything is correct to the hundreds place).
When you multiply numbers you only keep as many significant digits as whichever has the smallest number of significant digits. For example, if you were multiplying these two numbers you'd only keep two significant digits. But that's not what you're doing.
So, the correct answer is 145.75 + 0.23 = 145.98, which is the same as 1.4598 x 102 .
Explanation:
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