Question

A =14.6 rounded to 1 DP
b= 3.25 rounded to 2 DP
Find the maximum of a - b

Answer 1

11.405

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:

`\implies \sf a_(max)-b_(min)=14.649999...-3.245=11.405`