Problem 56 Estimate each quotient by first ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 56

Estimate each quotient by first rounding to the nearest ten. Show your work. $$ 1263 \div 29 $$

Short Answer

Expert verified

42.

Step by step solution

Round the Dividend

First, round the dividend (1263) to the nearest ten. Since the digit in the unit place (3) is less than 5, round down. So, 1263 becomes 1260.

Round the Divisor

Next, round the divisor (29) to the nearest ten. Since the digit in the unit place (9) is 5 or greater, round up. So, 29 becomes 30.

Divide the Rounded Numbers

Now, divide the rounded numbers. We have 1260 divided by 30. \[ 1260 \div 30 = 42 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Rounding Numbers

Rounding numbers makes calculations easier. When you round, you replace a number with another number that is close to it. For this problem, we round to the nearest ten.
This method simplifies the numbers we work with, making mental calculations faster and reducing the chance of mistakes.
Here鈥檚 a simple way to remember rounding rules:

If the digit in the place you are rounding to is less than 5, round down.
If the digit is 5 or greater, round up.

In the example provided, the digit in the unit place of 1263 is 3. Since 3 is less than 5, we round down to 1260. For 29, the unit place is 9. Since 9 is 5 or greater, we round up to 30.

Division

Division is about splitting a number into equal parts. When we divide, we are finding out how many times one number is contained within another.
In the example, after rounding the numbers, we perform the division operation: 1260 梅 30 = 42
This quotient tells us how many times 30 fits into 1260. Working with rounded numbers helps simplify the division process. Always remember these key division terms:

Dividend: the number to be divided (1260).
Divisor: the number by which the dividend is divided (30).
Quotient: the result of the division (42).

By rounding first, we ensure the division is easier to handle and understand.

Math Problem Solving

Math problem solving involves breaking down the problem into manageable steps. With our example, we followed these steps:

First, round the numbers.
Next, perform the division.
Finally, interpret the quotient.

This systematic approach is crucial because it ensures you are not overwhelmed by complex numbers.
Breaking a problem into parts can be helpful in all areas of math, not just division. Always start by understanding what the problem is asking. Then, identify the simplest way to approach it. Practice this method regularly, and soon you'll find math problems easier and more fun to solve!

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91影视

Estimate each quotient by first rounding to the nearest ten. Show your work. $$ 1263 \div 29 $$

Short Answer

Step by step solution

Round the Dividend

Round the Divisor

Divide the Rounded Numbers

Key Concepts

Rounding Numbers

Division

Math Problem Solving

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