/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 29 Find each of the following diffe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 29

Find each of the following differences. (Subtract.) $$45-0.067$$

Short Answer

Expert verified
The difference is 44.933.

Step by step solution

01

Align the Numbers

Write the numbers vertically, aligning the decimal points. This helps ensure that each digit is in the correct place value when subtracting.\[\begin{array}{c}45.000 \-0.067 \\hline\end{array}\]
02

Subtract the Hundredths

Start with the rightmost digit, subtracting the digits in the hundredths place: 0 minus 7. Since 0 is less than 7, borrow from the tenths column across the other columns, effectively turning the 45 into 44.900.\[\begin{array}{c}45.000 \-0.067 \\hline44.933\end{array}\]
03

Subtract the Tenths

Move to the tenths place, subtract 6 from 9 (after the borrowing from previous step). This is straightforward: 9 - 6 = 3. Write down the 3 below the subtraction bar.
04

Subtract the Units

Finally, subtract in the units column, 45 minus 0 remains 45, since we had borrowed to make it 44, it now becomes 44.933.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Decimal Subtraction
Decimal subtraction is the process of subtracting numbers with decimal points. The key difference between whole numbers and decimals is the decimal point, which ensures we align numbers based on their place values.

When subtracting decimals, it's crucial to:
  • Align the numbers vertically, making sure the decimal points line up.
  • Use zeros as placeholders to ensure each column is filled.
  • Once aligned, subtract each column starting from the rightmost digit.
Following these guidelines will help avoid mistakes and make decimal subtraction straightforward.
Place Value
Understanding place value is foundational to math. It refers to the value of a digit depending on its position within a number.

For example, in the number 45.067:
  • The '4' is in the tens place, giving it a value of 40.
  • The '5' is in the ones place, representing just 5.
  • To the right of the decimal, '0', '6', and '7' are in the tenths, hundredths, and thousandths places, respectively.
Understanding place value helps you know the magnitude of each digit and guides you during subtraction, especially when borrowing is involved.
Borrowing in Subtraction
Borrowing in subtraction is used when a digit in one place is too small to subtract from. Think of it as rearranging value from a higher place to help a lower place do its job.

Here鈥檚 how borrowing works:
  • If a digit can't be subtracted (e.g., 0 minus 7), borrow from the next higher place value.
  • Reduce the borrowed place by 1 and add 10 to the place needing help.
  • Repeat the process from right to left as needed.
In our example, we borrow from the tens place to fill up the tenths and hundredths places. This borrowing converts the original 45 into 44.933, allowing us to perform subtraction smoothly.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Suppose a telephone company charges \(\$ 0.45\) for the first three minutes and then \(\$ 0.29\) for each additional minute for a long-distance call. If a long- distance call costs \(\$ 2.77\), how many minutes was the call?

Perform each of the following divisions. $$488.4 \div 88$$

Suppose a woman earns \(\$ 6.78\) an hour for the first 36 hours she works in a week and then \(\$ 10.17\) an hour in overtime pay for each additional hour she works in the same week. If she makes \(\$ 294.93\) in one week, how many hours did she work overtime?

The problems below review some of the material on solving equations. Reviewing these problems will help you with the next section. Solve. $$6^{2}+8^{2}$$

Perform each of the following divisions. $$3 . 3 \longdiv { 2 1 . 9 7 8 }$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.