/*! 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 572 Add or subtract. $$ 27+0.87 ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 572

Add or subtract. $$ 27+0.87 $$

Short Answer

Expert verified
27.87

Step by step solution

01

Align the Numbers

Write the numbers vertically aligning the decimal points. This helps to ensure that the digits are in the correct columns.
02

Add the Columns

Starting from the rightmost column, add the digits in each column. If a column has a carry-over, include it in the next column.
03

Sum the Digits

Combine the digits from each column to get the total sum. Make sure to place the decimal point in the correct position in the result.

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.

Aligning Decimal Points
When adding decimals like 27 and 0.87, the first step is crucial: aligning the decimal points. To do this, write the numbers in a vertical format, making sure the decimal points are directly above each other. This alignment ensures that the digits in the same place values (units, tenths, hundredths, etc.) line up correctly.

For example:
  • 27.00
  • + 0.87
Notice that 27 becomes 27.00 to match the number of decimal places in 0.87. This step is vital for keeping the addition accurate and organized.
Column Addition
Once the decimal points are aligned, we use the column addition method. Start adding from the rightmost column, which is the smallest place value (hundredths place, in this case).

Here鈥檚 a step-by-step for our example:

  • 7 (hundredths) + 0 = 7. Write 7 in the hundredths place.
  • 8 (tenths) + 0 = 8. Write 8 in the tenths place.
  • 2 (units) + 0 = 2. Write 2 in the units place.
  • 2 (tens) + 0 = 2. Write 2 in the tens place.
This way, each place value is added correctly, keeping the numbers organized and easy to follow. Don't forget, if a column adds up to 10 or more, carry over the extra 1 to the next column.
Place Value
Understanding place value is key to accurately adding decimals. Each digit in a number has a specific place value, depending on its position relative to the decimal point.

The place values to the left of the decimal point are:
  • Units (1s)
  • Tens (10s)
  • Hundreds (100s)
And to the right of the decimal point:
  • Tenths (0.1s)
  • Hundredths (0.01s)
  • Thousandths (0.001s)
When you align decimal points and add the numbers, remember each digit represents its place value. In our example, 27 (or 27.00) means 2 tens and 7 units, while 0.87 means 8 tenths and 7 hundredths. This clarity helps in adding accurately and efficiently.

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

Convert the units. On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.

Simplify using the distributive property. $$ 16-3(y+8) $$

Convert the units. At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.

Simplify using the distributive property. $$ -4(q-7) $$

Insurance copayment Carrie had to have 5 fillings done. Each filling cost $$\$ 80\(. Her dental insurance required her to pay \)20 \%\( of the cost as a copay. Calculate Carrie's copay: (a) First, by multiplying 0.20 by 80 to find her copay for each filling and then multiplying your answer by 5 to find her total copay for 5 fillings. (b) Next, by multiplying \)[5(0.20)](80)\( (c) Which of the properties of real numbers says that your answers to parts (a), where you multiplied \)5[(0.20)(80)]\( and \)(b),\( where you multiplied \)[5(0.20)](80),$$ should be equal?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

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.