/*! 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 54 Subtract. $$ 5.1-3.02 $$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 54

Subtract. $$ 5.1-3.02 $$

Short Answer

Expert verified
2.08

Step by step solution

01

- Align Decimal Points

Write down the numbers 5.1 and 3.02 one below the other, aligning the decimal points for proper subtraction.
02

- Adjust Decimal Places

Add a zero to the number 5.1 to make it 5.10. This step ensures both numbers have the same number of decimal places.
03

- Subtract the Numbers

Perform the subtraction by subtracting digit-by-digit from right to left: \[ 5.10 - 3.02 = 2.08 \]

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 subtracting decimals, one of the most crucial steps is aligning the decimal points. This ensures that each digit is in the correct column, making subtraction easier and accurate. Imagine you're trying to subtract 5.1 and 3.02. Write the numbers one below the other, ensuring the decimal points are perfectly aligned:

5.1
- 3.02
It's crucial to keep the decimal points in line because it represents the same place value for each number. This step prevents any mistakes related to misaligned digits.
Adjusting Decimal Places
Once the decimal points are aligned, the next step is to adjust the decimal places so that both numbers have the same number of digits after the decimal point. This can be done by adding zeros where necessary. For example, the number 5.1 becomes 5.10. This ensures that when you subtract, each digit is matched correctly:

5.10
- 3.02
Adding a zero to 5.1 does not change its value, but it aligns the number better for subtraction.

By making both numbers have an equal number of decimal places, you avoid potential mistakes during the subtraction process.
Digit-by-Digit Subtraction
With the decimal points aligned and decimal places adjusted, you are ready to perform the digit-by-digit subtraction. Start from the rightmost digit and move to the left. Subtract column by column, borrowing from the next column when necessary.

Here鈥檚 how you can do it step-by-step for our example:
      5.10
- 3.02
-----------
    2.08
Subtract 2 from 10, placing 8 in the hundredths place, then subtract 0 from 1, placing 1 in the tenths place. Finish by subtracting 3 from 5, giving you 2.

You will get the result 2.08. This methodical approach helps prevent mistakes and ensures accuracy. Always remember to keep your numbers neatly aligned to make your work easier.

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

Divide. $$ \frac{48.6}{-3} $$

Multiply. \(-3 \cdot(-5) \cdot(-2) \cdot(-1)\)

Simplify. $$ 4 \cdot(6+8) /(4+3) $$

Simplify. $$ 8[(6-13)-11] $$

Divide. $$ -\frac{5}{4} \div\left(-\frac{3}{4}\right) $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.