Divide. Round the answer to the indicated place value. Use the rounded quotient to check. 2 . 4

step 1 For exercise 72, we have 246 going into 2 ,788. 246 goes into 278 one time with the difference o

Divide. Round the answer to the indicated place value. Use...

Key Concepts

Division of Decimals

This concept involves performing division when one or both numbers are decimals. It requires aligning decimal points and, if necessary, converting the divisor into a whole number through multiplication by a power of 10, while doing the corresponding adjustment to the dividend. Mastery of this method ensures accurate computation and understanding of quotient values in decimal form.

Rounding Decimal Numbers

Rounding decimal numbers is the process of adjusting the number to a specified degree of precision, which makes the number simpler to work with or comprehend. It involves looking at the digit immediately after the targeted place value and deciding whether to round up or down based on the value of that digit, ensuring the rounded number accurately represents the original value within the given precision.

Place Value (Thousandths)

Understanding place value is fundamental in identifying the position of digits in a decimal number, including the thousandths place which is the third digit to the right of the decimal point. Knowing place values enables one to appropriately round numbers, compare magnitudes, and apply the correct level of precision in various mathematical operations.

Using Rounded Quotient for Verification

This technique involves computing the quotient using the normal division process and then rounding it to the required place value to check the accuracy of the result. By comparing the rounded quotient with recalculations or estimates, one can verify that the division and rounding operations have been executed correctly, thereby providing a useful error-check mechanism.

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