Mental Math: Find Sums and Differences
Mental Math: Estimating Sums and Differences
Add Whole Numbers
Subtract Whole Numbers
Subtract Across Zeros
100

6,200 - 829

5,371

100

Estimate the sum by rounding to the nearest thousand first: 4,868 + 1,185 = ?

4,868 + 1,185 = 5,000 + 1,000 = 6,000

100

Find the sum: 27,711 + 24,871

27,711 + 24,871 = 52,582

100

Find the difference: 98,567 - 69,474

98,567 - 69,474 = 29,093

100

Find the difference 3,904 - 3,427

3,904 - 3,427 = 477

200

8,800 + 2,180

10,980

200

Estimate the difference by rounding to the nearest thousand first then subtracting: 66,837 - 35,424

66,837 - 35,424 = 67,000 - 35,000 = 32,000

200
Find the sum: 20,050 + 19,157

20,050 + 19,157 = 39,207

200

Find the difference: 834,726 - 743,612

834,726 - 743,612 = 91,114

200

Find the difference: 85,000 - 66,581

85,000 - 66,581 = 18,419

300

The town of Pine Grove collected 7,255 spirals and 20,782 pencils for a school supplies drive. The goal is 30,000 total spirals and pencils. Which answer choice shows the correct counting on strategy to find how many more spirals and pencils are needed to reach the goal?


(Please see Jeopardy Game slides for answer choices)

D)

300

The table shows the number of students at four different schools in the district. Estimate the total number of students at Johnson Elementary and Anderson Charter. Round each number to the nearest hundred then add.

(please see jeopardy google slides visual for chart)

2,827 + 1,161 = 2,800 + 1,200 = 4,000

300

Find the sum: 6,666 + 9,322

6,666 + 9,322 = 15,988

300

Find the difference: 37,426 - 20,133

37,426 - 20,133 = 17,293

300

Find the difference: 848,009 - 666,526

848,009 - 666,526 = 181,483

400

Is 83,300 - 23,546 greater than or less than 60,000? Explain how you can tell using mental math. Fill in the blanks:

One way to compare 83,300 - 23,546 to 60,000 is to find the [sum, difference] of 23,546 and 60,000. That number is [_______] which is [greater, less] than 83,300. So 83,300 - 23,546 is [greater, less] than 60,000.

One way to compare 83,300 - 23,546 to 60,000 is to find the [sum] of 23,546 and 60,000. That number is [ 83,546 ] which is [greater] than 83,300. So 83,300 - 23,546 is [less] than 60,000.

400

Sarah says, "When rounding to the nearest hundred, 612,111 rounds to 612,000" Do you agree? Explain.

You should not agree with Sarah because 612,111 rounds to 612,100 when rounded to the nearest hundred.

400

Find the sum: 19,642 + 13,966 + 8,627

19,642 + 13,966 + 8,627 = 42,235

400

A marker company makes 88,756 green markers, 13,812 blue markers, and 51,836 red markers. How many more green markers are made than blue and red markers combined?

green - (blue + red) = ans : 88,756 - (13,812 + 51,836) = 23,108

400
Find the difference: 23,105 - 20,392

23,105 - 20,392 = 2,713

500

Owen solves a subtraction problem. First he uses the Associative Property to group 5,709 and 3,709 together. Then he subtracts their differences from 18,724. Do you agree with owen's reasoning? explain.

(please see jeopardy visual slides for answer choices)

C) No. Owen cannot change the groupings of numbers to subtract. He should use counting on instead

500

Suppose you want to estimate the sum of 10,314 and 10,383. Will rounding each number to the nearest hundred give an answer closer to the actual sum than rounding to the nearest ten? explain

Rounding to the nearest ten will give the closest answer to the actual sum because the smaller the place value position, the less the number changes when rounded.

500

Find the sum: 74,562 + 26,262 + 397,727

74,562 + 26,262 + 397,727 = 498,551

500

What is the inverse operation equation that can be used to check the answer for 44,678 - 22,728? (you need to tell me the addition equation for your check strategy)

21,950 + 22,728 = 44,678

500

Find the difference: 60,600 - 58,537

60,600 - 58,537 = 2,063

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