For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

Verified step by step guidance

1. <Identify the digit in the place value you are rounding to.>
2. <Look at the digit immediately to the right of the place value you are rounding to.>
3. <If this digit is 5 or greater, increase the digit in the place value by 1.>
4. <If this digit is less than 5, keep the digit in the place value the same.>
5. <Replace all digits to the right of the place value with zeros if rounding to a whole number, or remove them if rounding to a decimal place.>

Key Concepts

Rounding Rules

Rounding is the process of adjusting the digits of a number to make it simpler while keeping its value close to the original. The basic rule is to look at the digit immediately to the right of the place value you are rounding to. If this digit is 5 or greater, you round up; if it is less than 5, you round down.

Place Value

Place value refers to the value of a digit based on its position within a number. In the decimal system, each position represents a power of ten. For example, in the number 46.249, the digit '2' is in the tenths place, '4' is in the ones place, and '6' is in the tens place, which helps determine how to round the number correctly.

Decimal Representation

Decimal representation is a way of expressing numbers that include a whole number part and a fractional part, separated by a decimal point. Understanding how to read and interpret decimals is crucial for rounding, as it allows you to identify which digits correspond to the specified place values, such as tenths, hundredths, and so on.