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1. Mental Math A Life Long Skill

2. Why Mental Math? • Calculating in you head is a practical life skill. • Mental math can make written computation easier or quicker • Proficiency in mental math contributes to increased skill in estimation • Mental calculation can lead to a better understanding of place value, mathematical operations, and basic number sense. • It is new a challenge each day • Bi-weekly draws • OUR BRAIN IS WITH US WHEREVER WE GO, OUR CALCULATOR IS NOT!!

3. Guidelines for Mental Math • Mental math is DAILY, but not necessarily a test daily • Each test will be 10 questions • 5 seconds to answer each question • Test is self corrected, you recorded results • name goes in for a draw (1, 2, 3 chances) • If corrected incorrectly no chance to win during the next draw. • If no red pen, no tickets for that day • Unprepared for three classes eliminates you from that weeks draw. • Strategies used will be discussed

4. Mental Math # 1 • The operation associated with the term addend is ? • The operation associated with the term quotient is ? • The operation associated with the term factor is ? • The operation associated with the term dividend is ? • The operation associated with the term product is ? • The operation associated with the term minuend is ? • The operation associated with the term sum is ? • The operation associated with the term subtrahendis ? • The operation associated with the term is divisor? • The operation associated with the term is difference ?

5. Mental Math # 1 • The operation associated with the term addend is + • The operation associated with the term quotient is  • The operation associated with the term factor is x • The operation associated with the term dividend is  • The operation associated with the term product is x • The operation associated with the term minuend is - • The operation associated with the term sum is + • The operation associated with the term subtrahend is - • The operation associated with the term is divisor • The operation associated with the term is difference-

6. Mental Math # 2 Name the term represented by the number that is blue. • 70 + 43 = 113 • 10 + 70 + 3 = 83 • 200 - 50 = 150 • 50 – 10 = 40 • 500 - 200 = 300 • 4 x 4 = 16 • 4 x 300 = 1200 • 50  10 = 5 • 8 4 = 2 • 40 1 = 40

7. Mental Math # 2 • 70 + 43 (addend) = 113 • 10 + 70 + 3 = 83 (sum) • 200 (minuend) - 50 = 150 • 50 – 10 = 40 (difference) • 500 - 200 (subtrahend) = 300 • 4 (factor) x 4 = 16 • 4 x 300 = 120 (product) • 50  10 = 5 (quotient) • 8 4 (divisor) = 2 • 40 (dividend) 1 = 40

8. Mental Math # 3 Name the term represented by the number that is blue. • 70 x 40 = 2800 • 500 + 43 = 543 • 20  5 = 4 • 20 x 50 = 1000 • 700 – 300 = 400 • 50 + 50 = 100 • 30 2 = 15 • 50 -10 = 40 • 8  4 = 2 • 100 - 40 = 60

9. Mental Math # 3 • 70 x 40 (factor) = 2800 • 500 + 43 = 543 (sum) • 20 (dividend) 5 = 4 • 20(factor) x 50 = 1000 • 700 (minuend) – 300 = 400 • 50 (addend) + 50 = 100 • 30 2(divisor) = 15 • 50 -10 = 40 (difference) • 8  4 = 2 (quotient) • 100 - 40 (subtrahend) = 60

10. Mental Math # 4 • When you multiply 2 numbers, the result is called the ? • The numbers you add together to get a result are called the ? • How many you take away from the amount you started with is called the ? • The amount you start with when dividing is called the ? • The result of dividing 2 numbers is called the ? • To find a product, the numbers you multiply are called ? • The result of 2 numbers added together is called the ? • The number of equal groups you want to make when dividing is called the ? • The amount you get when subtracting two numbers is called the ? • The amount you start with when subtracting is called the ?

11. Mental Math # 4 • When you multiply 2 numbers, the result is called the product. • The numbers you add together to get a result are called the addends. • How many you take away from the amount you started with is called the subtrahend. • The amount you start with when dividing is called the dividend. • The result of dividing 2 numbers is called the quotient. • To find a product, the numbers you multiply are called factors. • The result of 2 numbers added together is called the sum. • The number of equal groups you want to make when dividing is called the divisor. • The amount you get when subtracting two numbers is called the difference. • The amount you start with when subtracting is called the minuend.

12. Mental Math # 5 • The product of 5 and 2 is ? • The sum of 5 and 2 is ? • The factors are 3 and 5; the result is ? • The difference of 10 and 8 is ? • 4 x 100 + 8 x 1 + 5 x 1000 = • 50 000 + 3000 + 20 + 7 = • 500 + 300 + 40 = • 80 + 40 + 20 + 2 = • 4000 + 500 + 3000 + 20 = • The quotient is 5, the divisor is 6 what is the dividend?

13. Mental Math # 5 • The product of 5 and 2 is ? 10 • The sum of 5 and 2 is ? 7 • The factors are 3 and 5; the result is? 15 • The difference of 10 and 8 is ? 2 • 4 x 100 + 8 x 1 + 5 x 1000 = 5408 • 50 000 + 3000 + 20 + 7 = 53 027 • 500 + 300 + 40 = 840 • 80 + 40 + 20 + 2 = 142 • 4000 + 500 + 3000 + 20 = 7520 • The quotient is 5, the divisor is 6 what is the dividend? 30

14. Mental Math # 6 • 7000 + 300 + 40 + 3 = • 9000 + 70 + 3 = • 2000 + 50 + 400 + 4 = • 50 + 4000 + 7 + 300 = • 5 x 1000 + 3 x 100 + 9 x 10 + 2 x 1 = • 4 x 100 + 8 x 1 + 5 x 1000 = • 50 000 + 3000 + 20 + 7 = • 500 + 300 + 40 = • 80 + 40 + 20 + 2 = • 4000 + 500 + 3000 + 20 =

15. Mental Math # 6 • 7000 + 300 + 40 + 3 = 7343 • 9000 + 70 + 3 = 9073 • 2000 + 50 + 400 + 4 = 2454 • 50 + 4000 + 7 + 300 = 4357 • 5 x 1000 + 3 x 100 + 9 x 10 + 2 x 1 = 5392 • 4 x 100 + 8 x 1 + 5 x 1000 = 5408 • 50 000 + 3000 + 20 + 7 = 53 027 • 500 + 300 + 40 = 840 • 80 + 40 + 20 + 2 = 142 • 4000 + 500 + 3000 + 20 = 7520

16. Mental Math # 7 • 500 + 3000 + 70 + 3 = • 6000 + 700 + 3 • 2000 + 500 + 40 + 4 = • 50 000 + 30 + 7 + 8000 = • 3 x 10 000 + 1 x 1000 + 9 x 100 + 2 x 10 + 3 x 1 = • 4 x 1000 + 2 x 1 + 5 x 100 = • 200 + 300 + 20 + 5 = • 500 + 500 + 400 + 24 = • 40 + 60 + 20 + 70 + 30 = • 4200 + 500 + 60 =

17. Mental Math # 7 • 500 + 3000 + 70 + 3 = 3573 • 6000 + 700 + 3 = 6703 • 2000 + 500 + 40 + 4 = 2544 • 50 000 + 30 + 7 + 8000 = 58 037 • 3 x 10 000 + 1 x 1000 + 9 x 100 + 2 x 10 + 3 x 1 = 31 923 • 4 x 1000 + 2 x 1 + 5 x 100 = 4502 • 200 + 300 + 20 + 5 = 525 • 500 + 500 + 400 + 24 = 1424 • 40 + 60 + 20 + 70 + 30 = 220 • 4200 + 500 + 60 = 4760

18. Mental Math # 8 • 90 + 7000 + 500 + 6 = • 60 000 + 400 + 20 + 3 = • 300 + 700 + 80 + 4 = • 50 000 + 30 + 7 + 8000 = • 3 x 1000 + 9 x 100 + 6 x 10 + 2 x 1 = • 4 x 1000 + 2 x 10 000 + 8 x 100 = • 20 + 80 + 30 + 5 + 70 = • 900 + 600 + 400 + 72 + 100 = • 2000 + 8000 + 700 + 30 = • 5100 + 900 + 70 =

19. Mental Math # 8 • 90 + 7000 + 500 + 6 = 7596 • 60 000 + 400 + 20 + 3 = 60 423 • 300 + 700 + 80 + 4 = 1084 • 50 000 + 30 + 7 + 8000 = 58 037 • 3 x 1000 + 9 x 100 + 6 x 10 + 2 x 1 = 3962 • 4 x 1000 + 2 x 10 000 + 8 x 100 = 24 800 • 20 + 80 + 30 + 5 + 70 = 205 • 900 + 600 + 400 + 72 + 100 = 2072 • 2000 + 8000 + 700 + 30 = 10 730 • 5100 + 900 + 70 = 6070

20. Mental Math # 9 • 20 + 6000 + 400 + 7 = • 50 000 + 9000 + 200 + 30 = • 400 + 600 + 3 + 40 = • 20 000 + 300 + 9 + 4000 = • 5 x 1000 + 3 x 100 + 7 x 10 + 2 x 1 = • 7 x 1000 + 8 x 10 000 + 6 x 100 = • 50 + 90 + 50 + 5 + 10 = • 300 + 600 + 700 + 42 = • 4000 + 500 + 500 + 33 = • 3700 + 300 + 76 =

21. Mental Math # 9 • 20 + 6000 + 400 + 7 = 6427 • 50 000 + 9000 + 200 + 30 = 59 230 • 400 + 600 + 3 + 40 = 1043 • 20 000 + 300 + 9 + 4000 = 24 309 • 5 x 1000 + 3 x 100 + 7 x 10 + 2 x 1 = 5372 • 7 x 1000 + 8 x 10 000 + 6 x 100 = 87 600 7) 50 + 90 + 50 + 5 + 10 = 205 8) 300 + 600 + 700 + 42 = 1642 9) 4000 + 500 + 500 + 33 = 5033 10) 3700 + 300 + 76 = 4076

22. Mental Math # 10 • 8 x 8 = • 5 x 9= • 4 x 6 = • 20 divided by 5 = • 3 x 7 = • 72 divided by 9 = 7) 7 x 8 = 8) 30 divided by 6 = 9) 7 x 7 = 10) 60 divided by 6 =

23. Mental Math # 10 • 8 x 8 = 64 • 5 x 9= 45 • 4 x 6 = 24 • 20 divided by 5 = 4 • 3 x 7 = 21 • 72 divided by 9 = 8 7) 7 x 8 = 56 8) 30 divided by 6 = 5 9) 7 x 7 = 49 10) 60 divided by 6 = 10

24. Mental Math # 11 • 4 x 8 = • 3 x 9= • 7 x 5 = • 36 divided by 6 = • 9 x 9 = • 56 divided by 7 = 7) 2 x 8 = 8) 55 divided by 5 = 9) 7 x 6 = 10) 64 divided by 8 =

25. Mental Math # 11 • 4 x 8 = 32 • 3 x 9= 27 • 7 x 5 = 35 • 36 divided by 6 = 6 • 9 x 9 = 81 • 56 divided by 7 = 8 7) 2 x 8 = 16 8) 55 divided by 5 = 11 9) 7 x 6 = 42 10) 64 divided by 8 = 8

26. Mental Math # 12 • 4 x 3 = • 6 x 8= • 8 x 5 = • 63 divided by 9 = • 4 x 7 = • 32 divided by 4 = 7) 2 x 12 = 8) 72 divided by 8 = 9) 7 x 7 = 10) 48 divided by 8 =

27. Mental Math # 12 • 4 x 3 = 12 • 6 x 8= 48 • 8 x 5 = 40 • 63 divided by 9 = 7 • 4 x 7 = 28 • 32 divided by 4 = 8 7) 2 x 12 = 24 8) 72 divided by 8 = 9 9) 7 x 7 = 49 10) 48 divided by 8 = 6

28. Mental Math # 13 • 8 x 3 = • 9 x 8= • 9 x 6 = • 36 divided by 9 = • 4 x 4 = • 40 divided by 5 = 7) 3 x 12 = 8) 42 divided by 6 = 9) 7 x 4 = 10) 64 divided by 8 =

29. Mental Math # 13 • 8 x 3 = 24 • 9 x 8= 72 • 9 x 6 = 54 • 36 divided by 9 = 4 • 4 x 4 = 16 • 40 divided by 5 = 8 7) 3 x 12 = 36 8) 42 divided by 6 = 7 9) 7 x 4 = 28 10) 64 divided by 8 = 8

30. Mental Math # 14 • 200 + 60 000 + 4 + 70 = • 50 + 80 + 90 + 20 + 10 = • 400 + 600 + 3000 + 400 = • 23 + 300 + 7 = • 6 x 1000 + 2 x 100 + 0 x 10 + 2 x 1 = • 9 x 1000 + 8 x 10 000 + 6 x 100 + 4 x 10 = • 9 + 7 = • 90 + 70 = • 139 + 7 = • 390 + 70 =

31. Mental Math # 14 • 200 + 60 000 + 4 + 70 = 60 274 • 50 + 80 + 90 + 20 + 10 = 250 • 400 + 600 + 3000 + 400 = 4400 • 23 + 300 + 7 = 330 • 6 x 1000 + 2 x 100 + 0 x 10 + 2 x 1 = 6202 • 9 x 1000 + 8 x 10 000 + 6 x 100 + 4 x 10 = 89 640 • 9 + 7 = 16 • 90 + 70 = 160 • 139 + 7 = 146 • 390 + 70 = 460

32. Mental Math # 15 • 500 + 20 + 500 + 80 = • 30 + 80 + 70 + 10 + 10 = • 200 + 800 + 30 + 400 = • 51 + 3000 + 9 = • 8 x 1000 + 3 x 100 + 4 x 10 + 4 x 1 = • 9 x 10 000 + 8 x 1 + 6 x 1000 = • 7 + 5 = • 70 + 50 = • 127 + 5 = • 330 + 37 =

33. Mental Math # 15 • 500 + 20 + 500 + 80 = 1100 • 30 + 80 + 70 + 10 + 10 = 200 • 200 + 800 + 30 + 400 = 1430 • 51 + 3000 + 9 = 3060 • 8 x 1000 + 3 x 100 + 4 x 10 + 4 x 1 = 8344 • 9 x 10 000 + 8 x 1 + 6 x 1000 = 96 008 • 7 + 5 = 12 • 70 + 50 = 120 • 127 + 5 = 132 • 330 + 37 = 367

34. Mental Math # 16 • 48 + 21 = • 53 + 34 = • 34 + 52 = • 456 + 120 = • 438 + 340 = • 629 + 310 = • 400 + 231 = • 456 + 42 = • 381 + 405 = • 705 + 220 =

35. Mental Math # 16 • 48 + 21 = 69 • 53 + 34 = 87 • 34 + 52 = 86 • 456 + 120 = 576 • 438 + 340 = 778 • 629 + 310 = 939 • 400 + 231 = 631 • 456 + 42 = 498 • 381 + 405 = 786 • 705 + 220 = 925

36. Mental Math # 17 • 430 + 53 = • 510 + 87 = • 349 + 220 = • 456 + 440 = • 352 + 527 = • 600 + 350 = • 434 + 231 = • 156 + 420 = • 321 + 45 = • 615 + 224 =

37. Mental Math # 17 • 430 + 53 = 483 • 510 + 87 = 597 • 349 + 220 = 569 • 456 + 440 = 896 • 352 + 527 = 879 • 600 + 350 = 950 • 434 + 231 = 665 • 156 + 420 = 576 • 321 + 45 = 366 • 615 + 224 = 839

38. Mental Math # 18 • 974 + 23 = • 320 + 29 = • 341 + 208 = • 677 + 320 = • 425 + 563 = • 60 + 322 = • 400 + 231 = • 424 + 424 = • 333 + 425 = • 610 + 220 =

39. Mental Math # 18 • 974 + 23 = 997 • 320 + 29 = 349 • 341 + 208 = 549 • 677 + 320 = 997 • 425 + 563 = 988 • 60 + 322 = 382 • 400 + 231 = 631 • 424 + 424 = 848 • 333 + 425 = 758 • 610 + 220 = 830

40. Mental Math # 19 • 543 + 253 = • 841 + 200 = • 128 + 331 = • 415 + 363 = • 52 + 315 = • 400 + 200 + 387 = • 398 + 502 = • 260 + 540 = 9) 390 + 208 = 10) 111 + 111 + 111 =

41. Mental Math # 19 • 543 + 253 = 796 • 841 + 200 = 1041 • 128 + 331 = 459 • 415 + 363 = 778 • 52 + 315 = 367 • 400 + 200 + 387 = 987 • 398 + 502 = 900 • 260 + 540 = 800 9) 390 + 208 = 598 10) 111 + 111 + 111 = 333

42. Mental Math # 20 • Five and three tenths = • Thirty two and four hundredths = • Seventy-seven thousandths = • Two hundred four and five hundredths = • Nine hundredths = • 4 + 0.2 = • 30 + 5 + 0.9 + 0.07 = • 200 + 0.8 = 9) (5 x 1) + (2 x 0.1) + (4 x 0.01) = 10) 3 x 100 + 6 x 0.01 =

43. Mental Math # 20 • Five and three tenths = 5.3 • Thirty two and four hundredths = 32.04 • Seventy-seven thousandths = 0.077 • Two hundred four and five hundredths = 204.05 • Nine hundredths = 0.09 • 4 + 0.2 = 4.2 • 30 + 5 + 0.9 + 0.07 = 35.97 • 200 + 0.8 = 200.8 9) (5 x 1) + (2 x 0.1) + (4 x 0.01) = 5.24 10) 3 x 100 + 6 x 0.01 = 300.06

44. Mental Math # 21 • Nine and three hundredths = • Thirty two and four tenths = • Seven thousandths = • Three hundred and fifteen thousandths = • Nine hundredths = • 5 + 0.2 + 0.06 = • 300 + 50 + 0.9 + 0.04 = • 20 + 0.08 + 3 = 9) (5 x 0.001) + (2 x 0.01) + (4 x 0.1) = 10) 3 x 100 + 6 x 0.1 + 4 x 1 =

45. Mental Math # 21 • Nine and three hundredths = 9.03 • Thirty two and four tenths = 32.4 • Seven thousandths = 0.007 • Three hundred and fifteen thousandths = 300.015 • Nine hundredths = 0.09 • 5 + 0.2 + 0.06 = 5.26 • 300 + 50 + 0.9 + 0.04 = 350.94 • 20 + 0.08 + 3 = 23.08 9) (5 x 0.001) + (2 x 0.01) + (4 x 0.1) = 0.425 10) 3 x 100 + 6 x 0.1 + 4 x 1 = 304.6

46. Mental Math # 22 1) One Whole

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