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 and the digit immediately to its right.
2. For part (a), locate the hundredths place, which is the second digit to the right of the decimal point.
3. For part (b), locate the tenths place, which is the first digit to the right of the decimal point.
4. For part (c), locate the ones or units place, which is the first digit to the left of the decimal point.
5. For part (d), locate the tens place, which is the second digit to the left of the decimal point.

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 that if the digit to the right of the rounding place is 5 or greater, you round up; if it is less than 5, you round down. Understanding these rules is essential for accurately rounding numbers to specified place values.

Place Value System

The place value system assigns a value to each digit in a number based on its position. In the number 46.249, for example, the digit 4 is in the tens place, 6 in the units place, 2 in the tenths place, 4 in the hundredths place, and 9 in the thousandths place. Recognizing these positions is crucial for determining which digit to round when asked for a specific place value.

Decimal Representation

Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. In the number 46.249, the digits after the decimal point represent fractions of ten. Understanding how to interpret and manipulate decimal numbers is vital for performing rounding operations correctly.