Math Problem Statement

Solve the following arithmetic problems: addition, subtraction, and ordering decimal numbers from smallest to largest.

Solution

Let's solve each of the problems provided in the image step-by-step.

Problem 1:

75.93+29.0875.93 + 29.08

75.93+29.08=105.0175.93 + 29.08 = 105.01

Problem 2:

187.2177.92187.21 - 77.92

187.2177.92=109.29187.21 - 77.92 = 109.29

Problem 3:

130.29+71.83130.29 + 71.83

130.29+71.83=202.12130.29 + 71.83 = 202.12

Problem 4:

7258.28372 - 58.283

7258.283=13.71772 - 58.283 = 13.717

Problem 5:

2+7.4+8.8122 + 7.4 + 8.812

2+7.4+8.812=18.2122 + 7.4 + 8.812 = 18.212

Problem 6:

Order the following numbers from smallest to largest:

(a) 9.319, 9.91, 9.139, 9.913, 9.1953

  1. 9.139
  2. 9.1953
  3. 9.319
  4. 9.91
  5. 9.913

(b) 1.111, 1.11, 1.101, 1.001, 1.01

  1. 1.001
  2. 1.01
  3. 1.101
  4. 1.11
  5. 1.111

(c) 7.0707, 7.07, 7.007, 7.077, 7.77, 7

  1. 7
  2. 7.007
  3. 7.07
  4. 7.0707
  5. 7.077
  6. 7.77

Would you like further details or have any questions?

Here are five related questions to expand your understanding:

  1. How do you handle the addition of numbers with different decimal places?
  2. What is the process for subtracting numbers with multiple decimal places?
  3. Can you explain the steps for ordering a list of decimal numbers?
  4. How do you approach adding more than two decimal numbers?
  5. What strategies can be used to check the accuracy of your decimal arithmetic?

Tip: When working with decimals, aligning the numbers by their decimal points before performing operations can help ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Addition
Subtraction
Ordering Decimal Numbers

Formulas

Basic addition: a + b
Basic subtraction: a - b

Theorems

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Suitable Grade Level

Grades 4-6