Problem 594 Simplify. $$299+836$$... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 594

Simplify. $$299+836$$

Short Answer

Expert verified

1135

Step by step solution

Understand the Problem

We need to find the sum of the numbers 299 and 836.

Add Units Place

Add the units digits (rightmost digits) first: 9 (from 299) + 6 (from 836) = 15. Write down 5 and carry over 1 to the next column.

Add Tens Place

Add the tens digits, including the carried-over value: 9 (from 299) + 3 (from 836) + 1 (carried over) = 13. Write down 3 and carry over 1 to the next column.

Add Hundreds Place

Add the hundreds digits, including the carried-over value: 2 (from 299) + 8 (from 836) + 1 (carried over) = 11. Write down 1 and carry over 1 to the thousands place.

Write Final Number

Combine all parts and the carried-over value to get 1135.

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Key Concepts

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

Carrying Over in Addition

Carrying over is essential when the sum of digits in one column exceeds 9. For example, in our exercise, when adding 9 and 6 in the units place, we get 15. We write down the 5 and carry over 1 to the next column. This ensures accuracy in addition. Always remember, carrying over helps properly manage sums greater than 9.
This process is repeated in every column where the sum exceeds 9. It ensures the results are correct as we move step-by-step.

Units Place Addition

Adding numbers always starts from the units place, the rightmost column. First, let's add 299 and 836 starting with the units place:
9 (from 299) + 6 (from 836) = 15.
Write down the 5 and carry over the 1 to the next column.
This step is critical because it affects the next column's calculations. Hence, understanding units place addition is very important.

Step-by-Step Addition

To simplify addition, work step-by-step starting from the units place, followed by tens, and hundreds. Each step may involve carrying over which adds to the following column's value. For example:

First step: Add 9 and 6 => 15. Write down 5, carry over 1.
Second step: Add 9 and 3 (tens column) + 1 carried over => 13. Write down 3, carry over 1.
Third step: Add 2 and 8 (hundreds column) + 1 carried over => 11. Write down 1 and carry over 1 to the thousands place.
Finally, combine all written digits and the last carry-over: 1135.

Understand each step to make complex additions easy!

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91影视

Simplify. $$299+836$$

Short Answer

Step by step solution

Understand the Problem

Add Units Place

Add Tens Place

Add Hundreds Place

Write Final Number

Key Concepts

Carrying Over in Addition

Units Place Addition

Step-by-Step Addition

One App. One Place for Learning.

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