Topic 10

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Questions and Answers

Heather has 200 red counters, 326 blue counters, and 20 green counters. How many red and blue counters does Dina have in total?

  • 526
  • 326
  • 426
  • 546 (correct)

Derrick has a farm and after selling 157 eggs, he has 346 eggs left. How many eggs did Derrick have originally?

503

Using the open number line method, to solve $438 + 240$, start at 438, add 200 to get to ______, then add 40 to reach the final sum.

638

Which of the following expressions is equivalent to $639 + 143$? Choose all that apply.

<p>$700 + 70 + 12$ (A)</p> Signup and view all the answers

The equation $534 + 10 = 544$ has a sum of 544.

<p>True (A)</p> Signup and view all the answers

Tiffany has 228 marbles. Marco has 53 more marbles than Britney. Which expression determines the total number of marbles they both have?

<p>$228 + (228 + 53)$ (A)</p> Signup and view all the answers

Using place value and partial sums, what is the sum of $529 + 223$?

<p>752</p> Signup and view all the answers

Tina scores 273 points and Lex scores 364 points in a video game. Together, they score a total of ______ points.

<p>637</p> Signup and view all the answers

In June, 345 children go to theatre school. In July, 236 children attend. Using the open number line, which shows the correct jumps to find the total?

<p>Both A and B (D)</p> Signup and view all the answers

Flashcards

Open Number Line

A method to solve addition or subtraction problems by visualizing a number line and 'jumping' or 'hopping' to add or subtract values.

Partial Sums

A strategy where you break numbers into their place values (hundreds, tens, ones) and add each place value separately.

Compensation (Addition)

An addition strategy of adjusting numbers to make them easier to add, then compensating for the adjustment.

Break Apart Numbers

Splitting numbers into smaller, more manageable parts based on their place value to simplify addition or subtraction.

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Regrouping in Addition

Numbers are regrouped or 'carried over' to the next place value when the sum of digits in a place value column exceeds 9.

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Compensation (Addition)

Technique to manipulate numbers to make calculations easier by adding or subtracting values from one number and compensating on the other to maintain the original total.

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Study Notes

Dina's Counters

  • Dina has 100 red counters, 326 blue counters, and 10 green counters.
  • The total number of red and blue counters Dina has is 426.

Ryan's Eggs

  • Ryan sells 157 eggs at a farm stand.
  • He now has 346 eggs.
  • Before selling the eggs, Ryan had 503 eggs.

Open Number Line Problem

  • 438 + 240 = 678

Sum Amount

  • 600 + 180 + 2 is the same amount as 639 + 143.
  • 700+70+12 is the same amount as 639 + 143.

Sum of 544

  • 534 + 10 = 544
  • 444 + 100 = 544

Britney's and Alberto's Marbles

  • Britney owns 228 marbles
  • Alberto has 53 more marbles than Britney.
  • Together they have 281 marbles.

Place Value and Partial Sums

  • By using place value and partial sums, 529 + 223 = 752.

Ken and Mai's Video Game

  • Ken has 273 points in a video game.
  • Mai has 364 points.
  • Together, Ken and Mai scored 637 points in all.

Sports Camp Children

  • 345 children went to sports camp in July.
  • 236 children went to the camp in August.
  • How many children went to the camp in all? 581

Street Fair Visitors on Tuesday and Wednesday

  • The total number of visitors at the street fair on Tuesday and Wednesday was 556.

Jes' Partial Sums

  • Jes attempted to use partial sums to find the total visitors on Thursday and Friday
  • Her answer was incorrect because she added her ones wrong.
  • 7+5=12

Total of 636 Visitors

  • Friday and Wednesday have a total of 636 visitors.

Saturday and Sunday Visitors

  • Ken and Pablo calculated the total number of visitors on Saturday and Sunday. There were 459 visitors on Saturday and 346 on Sunday.
  • Pablo was correct, his total was 805
  • Ken was incorrect, his total was 806

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