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Chapter 2: Problem 21

Add or subtract. What is 8.9 less than \(62.57 ?\)

Short Answer

Expert verified
The result is \(53.67\).

Step by step solution

01

Subtract

Subtract 8.9 from 62.57. So, 62.57 - 8.9 = 53.67.

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Key Concepts

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

Decimals
Decimals are a way to represent numbers that are not whole, allowing us to express fractions in a simpler format. For example, instead of writing 9 out of 10, you can use the decimal 0.9. In subtraction or addition, aligning the decimal points is very important to ensure accurate calculations. This is because each digit's place value (units, tenths, hundredths, etc.) needs to be correctly lined up.
To work with decimals:
  • Write the numbers vertically with the decimal points in line.
  • Add zeros if necessary to make sure both numbers have the same number of decimal places. This does not change their value but makes calculations easier.
  • Perform the operation just like whole numbers.
By keeping the decimal points aligned, you avoid common mistakes and ensure your answer is correct. Practicing these steps helps in building confidence when handling decimal calculations.
Basic Arithmetic
Basic arithmetic includes simple calculations such as addition, subtraction, multiplication, and division. These operations are foundational skills in mathematics. They allow you to solve everyday problems and are crucial for understanding more complex mathematical concepts.
In a subtraction problem like in the original exercise, the process involves finding the difference between two numbers. Here are some basic tips for performing subtraction:
  • Ensure numbers are aligned properly, especially when dealing with decimals.
  • Start subtracting from the rightmost digit (the smallest place value).
  • If a digit in the minuend (the number from which you're subtracting) is smaller than the corresponding subtrahend digit, you'll need to "borrow" from the next left digit.
These simple principles guide you through solving subtraction problems effectively.
Mathematical Operations
Mathematical operations are the building blocks of arithmetic processes and include addition, subtraction, multiplication, and division. Each operation has its own set of rules and is used to solve different types of problems.
In subtraction, like in the given exercise, the key is to find "how much less one number is than another." This requires clarity on:
  • Correctly understanding which number is being subtracted from and which number is the subtrahend.
  • Aligning numbers, especially with decimals, to avoid mistakes.
By mastering these operations, you develop a deeper understanding of how numbers work, which is essential for more complex mathematics. Each mathematical operation complements the others, providing a comprehensive understanding of math concepts and how to apply them in various scenarios.

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Most popular questions from this chapter

Dis State whether the given expression is equivalent to \(0,\) equivalent to \(1,\) equivalent to \(\left(\frac{a}{b}\right)^{2},\) or undefined. $$\frac{\frac{0}{b}}{\frac{a}{b}}$$

A city plans to plant grass seed in a public playground that has the shape of a triangle with a height of \(24 \mathrm{m}\) and a base of \(20 \mathrm{m}\). Each bag of grass seed will seed \(120 \mathrm{m}^{2} .\) How many bags of seed should be purchased?

Name the place value of the digit 5 . $$76.31587$$

Write an equivalent fraction with the given denominator. $$\frac{6}{7}=\frac{}{49}$$

Evaluate the variable expression \(x-y\) for the given values of \(x\) and \(y.\) Is \(\frac{2}{3}\) a solution of the equation \(\frac{2}{3}-x=0 ?\)
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