Answer:
11.405
Step-by-step explanation:
When rounding numbers, check the digit to the right of the one you're rounding to:
- If it is 0, 1, 2, 3 or 4 round down
- If it is 5, 6, 7, 8 or 9 round up
If a = 14.6 is rounded to 1 decimal place then:
- minimum value of a = 14.55 (rounds up to 14.6)
- maximum value of a = 14.649999... (rounds down to 14.6)
If b = 3.25 is rounded to 2 decimal places then:
- minimum value of b = 3.245 (rounds up to 3.25)
- maximum value of b = 3.2549999... (rounds down to 3.25)
Therefore, to find the maximum value of a - b, subtract the smallest value of b from the largest value of a:
[tex]\implies \sf a_{max}-b_{min}=14.649999...-3.245=11.405[/tex]
