Question

Choose the three numbers that would round to 4.63.

a) 4.6285
b) 4.632
c) 4.6257
d) 4.6285

Answer 1

The three numbers that round to 4.63 are 4.6285, 4.632, and 4.6257, as rounding decisions are made based on the digit in the third decimal place.

Step-by-step explanation:

When rounding numbers to a given number of decimal places, we need to look at the digit following the last digit we want to keep. If this digit is 5 or more, we round up. If it is less than 5, we round down. In the question, we need to identify three numbers that would round to 4.63.

To round to two decimal places (as in 4.63), we check the third decimal place. Here are the steps:

• (a) 4.6285: The third decimal place is '8', so we round up the second decimal place, resulting in 4.63.
• (b) 4.632: The third decimal place is '2', so we do not round up the second decimal, but since it is already a '3', we keep it as is, resulting in 4.63.
• (c) 4.6257: The third decimal place is '5', hence we round up the second decimal place, resulting in 4.63.

Therefore, the three numbers that would round to 4.63 are (a) 4.6285, (b) 4.632, and (c) 4.6257.