Chebyshev Polynomial Approximation to Solutions of Ordinary Diffe
Subtracting Whole Numbers * Find t h e diffe r enc . -117, 235
Transcript of Subtracting Whole Numbers * Find t h e diffe r enc . -117, 235
Subtracting Whole Numbers* Name ______________ _
Date
Find the difference.
1 . 83 ,518 -27,679
2. 384 ,591 -117,235
3 . 516 ,879 - 215 ,279
4 . 6 ,293,810 - 4 ,206 ,915
5 . 145,403 - 79 ,256
6 . 207,813 -176,928
7 . 2 ,146,921 - 923,810
8 . 2 ,562 ,821 - 1,207 ,935
9 . 215 ,874 - 97,298
10. 517 ,715 -308,803
11 . 4 ,27 9 ,513 29,986
12. 51 ,204 ,167 - 2 ,501 ,814
13. 500,000 -270,915
14 . 6 ,004 ,102 -2,513,526
15. 427 ,200 ,005 -162,843 , 156
16. 915 ,207 ,005 -421,136 ,156
17. 206,070 - 92,4 13
18 . 1,470,010 - 1.351,629
19 . 41,426,951 - 2,035 ,001
2 0 . 206,042,091 -123,456.789
Subtract.
2 1. 52,635 - 6 ,263 2 2 . 621 ,516 - 305 ,179
23. 1,427 ,615 - 862 ,513 2 4 . 7 ,213,824 - 2 ,196,302 - -------
Solve.
25. Jason has 206 ,021 stamps. He collected 125 ,357 during the past year and the remainder before that. How many did he collect before this past year?
26 . Kate is permitted 1000 calories a day on her diet. At lunch she consumed 279 and at breakfast 342. How many calories may she consume at dinner?
8 •use with Lesson 2 · 2, text pages 26- 27 . Copynght Q Sadher-Oxforc
Find the sum.
1.
6 .
11 .
14.27 6.91
+ 8 .347
4 .01 4 0 .8 1. 4
+2.79
88 .49 293 .4
72 .84 +621.08
Align and add.
2 . 27 .304 4 .72
+ 1 . 61
7. 5 .5 0 .55 0 .055
+55 .0
12. 16 .41 9 .835
91.46 + 8 .672
16. 0 .4 + 2 .05 + 6 .1 + 0 .406
Name ___________ __ _
3. 5.0 2 .079
+41 .41
8. 21 .46 8 .921 1.46
+31 .976
Date
13 . 89 .327 6 .43
81 .6 + 3 .915
4.
9.
8 .34 21 .35
+ 0 .87
4 .215 17 .8231
4 .865 +97 .41
14 . 672 .15 897 .38 404 .04
+675 .35
5 .
10.
15.
1 .465 9 .208
+ 14 .36
5 .927 18 .35
7 .917 +82 .43
$269 .43 827 .69 591 .63
+ 919 .86
18. 0 . 104 + 8.796 + 6 + 0 .3051 -----
20. 8 .6 + 7 .801 + 5 .92 + 15 .8 --- - -
17. 0 .715 + 6 . 429 + 3 .0307 + 2 .8
19. 5 .492 + 78 .04 + 0 .376 + 0 .541
21 . 4 + 18 .7 + 91 .428 + 8 .21 ------
Play these games.
22. Find the sum of each row and column. What is the magic sum? _____ __ _
. 4.7 21 .15 9. 4
' 16.45 i 1. 75 7 .05
14.1 2.35 18 .8
23. Find the sum of each row and column. Then find the sum of these sums. What is the final sum? --- - - - --
6.25 + 19 .35
2.72 + 8 .5
t I
-
Find the difference.
1 . 8 . 941 - 7 . 753
6 . 23 . 62 - 19. 427
11 . 8 2 . 6 7 9 -19.493
16 . 5 . 1 - 0. 765
Align and subtract.
2 1 . 6 . 72 - 1 . 7
2 4 . 53 . 7 - 9 . 62
2 . 3 . 51 6 - 0 . 309
7 . 81 . 815 - 7 . 24
12. 67 .665 - 9.879
17. 8 . 1 -3 . 472
l Name -----------:--- Date
3 . 5 .289 - 1 . 727
8. 6 2 . 397 -15.6
13. 4 1.23 - 8 . 765
18. 15 -1 1 . 707
4 . o . 539 - ~ _909
9 . 7 4 . 223 - 7 . 598
14 . 92 . 5 - 7 . 356
19. 24 - 3 . 869
5. 4 .291 - 3 . 4 78
10. 4 6 . 8 2 - 7 .91 5
1 5 . 19 . 42 - 7 . 69 1
20. 5 - 0 . 56
22. 12 - 9 .72 ----- 23. 207 . 1 - 11 . 4
25 . 16 . 45 - 11 . 9 - --- 26. 9 . 48 - 5 . 691
For each purchase, find the change from $100.
27. a chair at S62 . 56 28. a bicycle at $ 79 . 98
2 9 . a coat a t S87 . 7 5 30 . a watch at S32 . 43
3 1. a stereo at $69 . 37 32 . a radio at $36 .29
•u se with Les•on 2-7, text page. 32- 33. Copyright C Sadher-Oxtonl 10
Adding and Subtracting Daclmals* Name --------
Date
Add or subtract.
1. 5 . 6 + 3 .9 + 8 .27 2. 54 .6 - 8 .972 --------- -----------
3. 27 . 6 - 12 .462 -------- - -- 4. 9.76 + 13 .7 + 1.25
5. 8 .91 + 4 .7 + 3 .4 - -------- 6. 1.42 + 3 .96 + 5. 1
7. 81 .23 - 47 .6 --- ------- 8. 42 .76 - 37 .419 -------- --
9. 673 + 8 . 7 + 5 + 13 .6 --- ----- 10. 92 - 9 . 765 --------- - -
11 . 129.72 - 1 . 963 --- - ----- 12. 12 + 1.2 + 0 . 12 + 0 .012 ------
13 . 7.962 - 0.31 14. 8 - 7 .621
Solve.
15. The scouts hiked the following distances in three days:
24 . 6 km, 18 . 9 km, and 27 . 4 km. What was the total
distance hiked?
16. The Gonzalez family drove from their home to Carson
City. At the beginning of the trip, the odometer on their car
read 27,062 . 9 miles. At the end of the trip, the odometer
read 27,801 .6 miles. How many miles had they driven?
·use with Le&11one 2-6 and 2•7, text pages 31 , 32-33. Copyright © Sadlier-Oxford 11
t Adding Integers*
Find the sum.
1 . +a + +5 ==
4 . -2 + -5 ==
7 . -1a + + 25 = 10. +g + -5 = 1 3 . + 7 + +a ==
16 . +g + - 2 = 19. -3 + -5 = 22 . - 21 + - 12 =
2 s . -go+ -20 =
28 . -70 + +22 =
3 1 . + 20 + -g ==
Complete the addition table.
3 7 .
3 8 .
3 9 .
40.
4 1 .
+
+12
-s
+15
-5
+g
Compare. W rite <, -, or > .
4 2 . -7 + -s - s
4 4 . - 2 + -3 + 2
34
+
+
◄ Name -----------Oate
3 . - 20 + +a = 2 . - 7 + - 15 = -----6 . - g + - 41 = 5 . +25 + +100 = ----9 . +50 + +s == 8 . - 1 + - 12 = ------+1 2 12. -72 + - 5 = 11 . - 20 + = -----1 5 . +25 + - 5 = 14. -4 + - 7 = --17. + 4 +12 1 8 . -5 + -4 = + =
20 . - 7 +4 2 1 . +s + - s = + =
23. -40 + - 60 = 24 . +24 + - g = 26. -s + + 6 = 27 . -45 + +45 = 29. + 24 + - 24 = 30 . + s + - 15 = 32. -5 + +2 = 3 3 . -7 + - 5 = 35. +12 + - 3 = 3 6 . -s + + 15 =
- 5 +20 - 17 +6
- 7 43. - 4 + +s + 4 + - s + 3 45. - 5 + - 5 - 4 + - 5
•use w ith Less o n 5 - 3 , text pages 104 - 105. Copyright © Ssd1181•
1
Subtracting Integers*
Subtract.
1. +5 - +3 = 2. - a
4 . +4 - +2 = 5. - 5
7 . - 5 - - 3 = 8. +3
10. - 7 - -5 = 11. - g
13 . +3 - - 4 = 14. +7
16. +a - +4 = 17. - 7
19 . +3 - +7 = 20. - 4
22 . +4 - +1 = 23. - 5
25. +1 +3 = 26. -3
28 . - 4 - - 5 = 29. +2
31. +5 +5 = 32 . - g
Compute. (Hint: Use the order of operations.)
34. -a + +3 - +5 + -3 - -5 =
36. -2 + -3 - +4 + -5 - +5 =
38. +go + -50 - -30 + +20 =
40 . - 72 - - 43 - +5 - +1 4 =
42. +10 - +20 - - 30 + -10 =
Solve.
44. On Monday the temperature was - 4 ° C. It rose 11 ° Con Tuesday. What was the temperature on Tuesday?
-
-
45 . On Wednesday the temperature was - g <> C. It rose 3° C on Thursday. What was the temperature on Thursday?
•use with Lesson 5-4, lext pages 106-107.
Name
Date
+a = 3. +10 - 10 =
- 5 = 6. + 15 +7 =
+4 = 9. -27 +27 =
+5 = 12. -50 -42 =
- 2 = 15. -75 -25 =
-3 = 18. +5 - -4 =
-2 = 21. +10 - -7 =
-3 = 24. 0 - +3 =
- 1 = 27. -3 0 =
- 5 = 30. +7 - -7 =
- 7 = 33. -1 4 - +5 =
35. - 7 - +g + -2 + +7 + +4 =
37. +2 - -3 - - 4 + +5 + +5 =
39. +40 + -50 + +40 + +70 =
41 . +53 - +2 - +4 0 + +31 =
43. -15 - -1 4 + -1 4 - -15 =
Copynght © Sadliar-Oxford 35
◄ Mallplylnj latagars* Name
Date
Mu ltiply .
1 . +4 X +2 3 . +5 X - 4 = = 2 . - 5 X - 7 = ----4. - 3 X - 9 = 6 . +3 X - 4 = 5 . +5 X -3 = ----7 . +a X +5 = 9 . - 7 X - 7 = 8. +4 X - 3 = ---1 0 . -7 X +2 = +5 +4 12. -5 X - a = 11 . X = ---1 3 . +g X +7 = 14 . - g X - 4 = 15 . - a X +7 =
16. - 4 X -s = 17. +7 +s 18. -3 X +5 = X =
19. +2 X + g = 2 0 . +g -5 21. -a X - g = X =
22. +5 X 0 = 23. - 7 X 0 = 24 . +2 X - 7 = 25. + 5 X +s = 26. - 2 X - 7 = 27 . -4 X -12 = 28. +3 X +40 = 29. - 15 X - 3 = 30. -20 X +5 =
Write the missing factor.
31 . +4 X = +2s 3 2 . +7 X = +35 33. X +3 = +15
34. -3 X = -g 35. X -5 = +1a 3 6 . X + 10 = -40
37. -7 X = - 42 38. X - 7 = +53 39. -3 X = -27
40. X +a = 0 41 . X -5 = 0 42 . X -25 = -75
4 3 . +5 X = -54 44. - 15 X = +go 45. -a X = -72
46_ Use +2, -2, +3, -3, to complete the puzzle. Each number may be used more than once.
36
QxQxQxQ-►G
6x6x6 x6 -8 ' ' ' ' 0000
•use w ith Lesson 5-5, text pages 10 8 -109. Copyright © Sadlier-Oif011l
J
tr: Dividing lnlag~. I Name
Date
Divide.
1. +50 +12 = 2. - 72 + - 5 = 3. - 4a + •a =
4. +42 + - 7 :i 5. - 12 + +12 = 6. +40 + -a =
7. +49 + - 7 = 8. +21 + +7 = 9. +144 + - 12 =
10. - 15 + - 2 = 11. - 20 + +4 = 12. - 5s T - 11 =
13. - s4 + -a = 14. -go +3 = 15. -go -,o =
16. +53 + +7 = 17. +24 -4 = 18. -36 +6 =
19. -12 -1 = 20. +110 +10 = 21 . -24 + -a =
22. +25 + - 5 = 23 . +7 +1 = 24. -12 - 3 =
25. -so +25 = 26. - 90 - 10 = 27. +32 - 4 =
28. +50 +5 = 29. -33 +11 = 30. -53 - 9 =
Multiply or divide.
31. +3 X +5 = 32. - 45 + +g = 33. +30 -5 =
34. - 7 X +a = 35. +12 X -5 = 36 . 0 -7 =
37. - 54 - g = 38. - 11 X - 4 = 39 . +72 -a =
40 . •a - a = 41 . - 121 + 11 = 42 . - 15 X +4 =
43. +95 +a = 44. - 4 X 0 = 45. -10 X -5 = C3 + - 17) + +5 - - 2---. ((-20) + +sJ - - 2 _.. - 4 _::,;...2 ::'.:-2 '~
Compute.
47 . - 24 X +2 +4 + +a =
48 . (+ 20 + - a) - 4 + + 1 = 49. (- 19 -s) (-4 + +2) =
50. (+ 16 - 4) (+ 8 - 4) = 51. (+ 18 + - 4) (- 9 - 2) + - 5 =
52. (- 24 - 3) X c 20 + 4) +2 = 53 . (- a + - 10 - +3) - 7 =
54. - 1000 + 10 + 10 - 10 = 55. +9 c 2 + - 4 - 4) =
·use with Lesson 5 ·6, text pages 11 o -1 11. Copyright © Sadlier-Oldord
, t Adding Fractions*
Find the sum. Express the answer in simplest form.
1 1 1· 6 + 6 =
7 9 4· 11 + 11 =
7.
11.
15.
19.
2 3
+J_ 6
9 20
+~ 4
2 9 7 9
+2.. 9
2 3 11 12
+ J_ 4
Solve.
8 .
12.
16.
20.
9 10
+ l.. 5
4 9
+2.. 6
8 15 4 15
2 7 2· 11 + 11 =
17 11 s. 20 + 20 =
+_]_ 15
4 15 1 4
+ 1.. 5
23. Joan glued a piece of wood ! in . thick on top of a piece of wood ~ in . thick. At the thickest point,
how thick is the glued wood?
24. Bill needs canvas for three projects. One project requires : yd, another requires ~ yd, and the third
project requires -k yd. How much canvas does he
need for all three projects?
·use with Lesson 7-6, text pages 160-1 61.
I Name Date ------------
=====------
9.
13.
17.
21.
1 4
+ _]_ 12
7 12
+_§_ 20
3 4 1 8
+l 16
5 12
4 9
+ J_ 6
5 1 3· 12 + 12 =
3 3 s. 4 + 4 =
10.
14.
18.
22.
4 5
+_]_ 10
5 8
+2.. 6
3 5 1 2
+l 10
2 3
5 6
+l.. 8
Copyright © Sadlier-Oxford 53
-
Subtracting Fractions• 1
Name --------~ Date ~
Find th
e difference. Express the answer in simplest form.
1.
4 .
7.
11 .
15.
7 8 -
E.. 15
3 4
-~ 8
2 3
_J_ 2
1 2
-
- _g_ 5
3 8 = 2 .
7 15 = 5.
8 . 7 10 1 5
5 12. 6
- ~ 5
7 16. 10
- _§_ 8
Write <, =, or > to make a true sentence.
19. 3 1 1 4 2 4
5 2 1 2 1 . 6 3 3
5 1 1 23. 8 3 3
5 1 1 25. 8 2 4
1 1 1 27 .
2 3 6
4 9
17 20
Compute. Write the answer in simplest form.
1 - = 9
14 - = 20
29 . (; + ; ) - ½ = ---- - - - ---
31 . (! + !) - ~ = ----------
33. ( ~ + ~ ) - ~ = - - ----- ---
35. ( ~ + ! ) - io = ----------
9.
13.
17.
20.
22.
24.
26 .
28.
3 0 .
32.
34 .
36 .
8 5 3 .
11 - 11 = ----
6 . 18 13
25 25 = ----
7 12 1 4
3 5 1 4
8 9 5 6
5 1 1 6 3 6
7 3 1 8 4 4
5 1 2 7 3 7
2 1 1 3 6 2
5 1 2 - - -7 2 7
(: + ~) 1 - - -4
( 5 1 ) 3 12+6 - a =
( 1 1 ) 1 8+3 - 12=
(: + ~) 5 - - = 12
10 .
14.
1 8 .
7 9
- J_ 3
9 10
- _§_ 6
2 3
-~ 8
54 •use w ith Lesson 7-7, text pages 162 -1 63. Copyright ~ Sac
Adding Mixed Numbers*
Find the sum. Write the answer in simplest form.
1.
4.
7.
11 .
15.
19 .
5 J.. 5 +
4 lZ. 20
2 5 --3
+ 1~ 5
7 .'i. 6
+3 1.. 3
4 ..i 5
3 l.. 4
+2 _1_ 2
+
5 1.. 5 =
9 -~ -20 =
8.
12.
16.
20.
3 6 --4 2 +9 -5
5 812
5 +8 8
5 l.. 4
6 _1_ 6
+ 7 .'i. 8
2. 2 8 15
5. 5 1. 7
+
+
Name ______________ _
Date
7 415 = 3.
4 ..?. 7 = 6.
1 9. 5 9 7
+612
13.
17.
21 . 5..i 9
2 .§_ 6
+9 _1_ 3
9 5 8
3 3 -5
10.
14.
18 .
22.
7 + 4 8
+ 7 1. 5
7 3 15
+8 ~ 9
4 J.. 2 6
+711
1 ~ 5
3 1.. 3 7
+810
=
=
The children in the Burrows family are participating in a bike-a-thon. Find the total distance covered by each child.
Bill 's distance Jim's distance Rick's distance
Monday 2 1 . 2 ml 3 _1_ mi
2 5 _1_ mi
2
Tuesday 4 _1_ mi 2
2 _1_ mi 4
3 _1_ mi 2
Wednesday 2 l.. mi 4
1 J.. mi 2 2 mi
Thursday 1 .
8 2 ml 3 3 . 4 ml 6 1 .
2 mI
I
I Friday , . 4 3 . 4 1 . 5 - ml 4 ml - mI 2 2
I
Totals I 23. 24 . 25 .
· u se with Lesson 7-10, text page 166. Copyright © Sadlier-Oxford 55
NafTIO
Ol \0
flnd the dlfletene. Wriht the l flJwt_t In 1lmpt11t form,
1. 9 \3 7 l I 3. - 8 ,, ,, .. 2 . 4 l - l 3 • - .. ---4. • I 14 ,. 8 8 . 8 io - 3 ,o • 5 . - 6 , 1 • 17
7. 9S • 3 \ 13 O ' o. • 8. 12 2! • -I I S,;,
10. 9 0 'I 12. a• a ,o 11 . 9 a
'I - 4 3 __!_ 8 ,
- 3 - 4 9 -
1'1.
18. 9..i 5 3 -2-r
15.
19.
Circle the correct answer.
5 ..! - 2 L 22. 3 5
24 7 ·3 • 4
25. 9 !
56
2 3 4
1 1 e
2!. a. 2
3 a. 5 4
a. 10 ~
8 -~ 6 5
- 6 9
2 b. 315
b 21!. · 24
1 b. 8 40
16.
2.0.
C 8} . 8
2 ~ c. 2-1
C. 5
8 11 C. 40
7~ 9 5
- 3 ,r
8 lj 12 s -2 8
7 d . 3 15
5 d. 2 20
d. 4
d 7 1_1 . 40
•u se with Lesson 7-1 2, l.xt ~g.s 161- 169.
10' • - e i a • --...... ., " 19 12 - 11 12 • -........
18 1'
6 - 8 17 • ,1 ----13. 62
3
17.
21 .
- 2 ' 4 -
11 4
s 6
I - 0
7 3 8 ,
- 2 3
e. nono of theso
e. nono of tnese
e. nono of tnoso
e. nonootthr.SO
Subtracting Mixed Numbers* (Rtgroaplng)
Subtract. Write the answer In simplest form.
1.
5.
9 .
13 .
17.
4 ..!.. 3
_, 1-3
9 2 - 5 -3
5...!... 3
-2..!.. 2
3 1214
- 6 2-7
12~ 4
- 6_§_ 6
2.
6.
10.
14.
18.
0 ..!.. 5
- 21-5
16
-102-6
7..!.. 4
- 4 ~ 5
11 .i_ 5
3 - 810
5 1618
7 - 712
Which is greater? Circle the correct answer.
2 1. 5 - 3 ..!_ or 5
23 . 5 ~ - 3½ or
5..!_ - 3 5
25. 7 - 2 J_ or 7 ..!_ - 2 3 3
4..!_ 4
•u se with Lesson 7-12, text pages 168- 169.
Name ______________ _
Date
3.
7 .
11.
15.
19.
31-9
-22-9
18
- 122-8
5..!.. 9
_32-6
1 1212
- 9 1._ 3
22. 5 ~ - 2 ; or
24. 8; - 3 ~ or
4.
8 .
12.
16.
20.
3 810
_4..L 10
9
- 6.i_ 7
12 ..!.. 6
- 8~ 8
5 712
- 4 _§_ 8
26. 3 -¾- - 2 ; or 3 ; - 2 1
Copyright © Sadlier-Oxford 5,