Question

name: miki date: weekly math review - q1:1
monday
find the product
23 × 536=
find the quotient
\\( \

$$\begin{array}{r}\\ 8 \\enclose{longdiv}{240}\\\\ \\end{array}$$

\\)
find the sum
\\( \

$$\begin{array}{r}\\ 2.56 \\\\ +\\ 4.83 \\\\ \\hline \\\\ \\end{array}$$

\\)
find the difference
\\( \

$$\begin{array}{r}\\ 58.84 \\\\ -\\ 2.78 \\\\ \\hline \\\\ \\end{array}$$

\\)
simplify each fraction
\\( \frac{5}{10} \\)
\\( \frac{4}{12} \\)
\\( \frac{3}{9} \\)
list the first 5 multiples of
1:
4:
5:
find the products
9 × 8=
7 × 9=
6 × 8=
7 × 8=
6 × 9=
7 × 6=
7 × 7=
solve the expression. use order of operations.
6×7−8÷4
add parenthesis to the expression below.
25 − 6 × 2
tuesday
find the product
54 × 653=
find the quotient
\\( \

$$\begin{array}{r}\\ 3 \\enclose{longdiv}{927}\\\\ \\end{array}$$

\\)
find the sum
\\( \

$$\begin{array}{r}\\ 93.5 \\\\ +\\ 8.7 \\\\ \\hline \\\\ \\end{array}$$

\\)
find the difference
\\( \

$$\begin{array}{r}\\ 528.77 \\\\ -\\ 41.68 \\\\ \\hline \\\\ \\end{array}$$

\\)
simplify each fraction
\\( \frac{6}{9} \\)
\\( \frac{2}{16} \\)
\\( \frac{10}{40} \\)
list the first 5 multiples of
12:
10:
3:
list the factors of
24:
36:
27:
7:
solve the expression. use order of operations
3×(20 - 5)
add parenthesis to the expression below.
4 + 3 × 2 − 4 ÷ 2
wednesday
find the product
76 × 327=
find the quotient
\\( \

$$\begin{array}{r}\\ 12 \\enclose{longdiv}{3624}\\\\ \\end{array}$$

\\)
find the sum
\\( \

$$\begin{array}{r}\\ 714.29 \\\\ +\\ 98.65 \\\\ \\hline \\\\ \\end{array}$$

\\)
find the difference
\\( \

$$\begin{array}{r}\\ 1.76 \\\\ -\\.98 \\\\ \\hline \\\\ \\end{array}$$

\\)
simplify each fraction
\\( \frac{2}{4} \\)
\\( \frac{6}{18} \\)
\\( \frac{4}{20} \\)
list the first 5 multiples of
6:
9:
7:
list the factors of
12:
2:
45:
50:
solve the expression. use order of operations
(24 + 2)÷2
write two expressions where the solution is 19.
thursday
find the product
94 × 845=
find the quotient
\\( \

$$\begin{array}{r}\\ 7 \\enclose{longdiv}{2114}\\\\ \\end{array}$$

\\)
find the sum
59.34 + 1.85 =
find the difference
34.59 − 6.84 =
simplify each fraction
\\( \frac{9}{27} \\)
\\( \frac{7}{27} \\)
\\( \frac{8}{36} \\)
list the first 5 multiples of
11:
8:
2:
list the factors of
48:
18:
5:
16:
solve the expression. use order of operations
2 + (9×3)×3
write two expressions where the solution is 41.

Explanation:

Monday

Step1: Multiply 23 and 536

$23 \times 536 = (20 \times 536) + (3 \times 536) = 10720 + 1608 = 12328$

Step2: Divide 240 by 8

$240 \div 8 = 30$

Step3: Add decimals 2.56+4.83

$2.56 + 4.83 = 7.39$

Step4: Subtract decimals 58.84-2.78

$58.84 - 2.78 = 56.06$

Step5: Simplify fractions by GCD

$\frac{5\div5}{10\div5}=\frac{1}{2}$; $\frac{4\div4}{12\div4}=\frac{1}{3}$; $\frac{3\div3}{9\div3}=\frac{1}{3}$

Step6: List multiples (n×1 to n×5)

1×1=1, 1×2=2, 1×3=3, 1×4=4, 1×5=5; 4×1=4, 4×2=8, 4×3=12, 4×4=16, 4×5=20; 5×1=5, 5×2=10, 5×3=15, 5×4=20, 5×5=25

Step7: Calculate basic products

$9 \times 8=72$; $7 \times 9=63$; $6 \times 8=48$; $7 \times 8=56$; $6 \times 9=54$; $7 \times 6=42$; $7 \times 7=49$

Step8: Apply order of operations

$6 \times 7 - 8 \div 4 = 42 - 2 = 38$

Step9: Add parentheses for grouping

$(25 - 6) \times 2$ or $25 - (6 \times 2)$

Tuesday

Step1: Multiply 54 and 653

$54 \times 653 = (50 \times 653) + (4 \times 653) = 32650 + 2612 = 35262$

Step2: Divide 927 by 3

$927 \div 3 = 309$

Step3: Add decimals 93.5+8.7

$93.5 + 8.7 = 102.2$

Step4: Subtract decimals 528.77-41.68

$528.77 - 41.68 = 487.09$

Step5: Simplify fractions by GCD

$\frac{6\div3}{9\div3}=\frac{2}{3}$; $\frac{2\div2}{16\div2}=\frac{1}{8}$; $\frac{10\div10}{40\div10}=\frac{1}{4}$

Step6: List multiples (n×1 to n×5)

12×1=12, 12×2=24, 12×3=36, 12×4=48, 12×5=60; 10×1=10, 10×2=20, 10×3=30, 10×4=40, 10×5=50; 3×1=3, 3×2=6, 3×3=9, 3×4=12, 3×5=15

Step7: List factors (divisors)

24: 1,2,3,4,6,8,12,24; 36:1,2,3,4,6,9,12,18,36; 27:1,3,9,27; 7:1,7

Step8: Apply order of operations

$3 \times (20 - 5) = 3 \times 15 = 45$

Step9: Add parentheses for grouping

$(4 + 3) \times 2 - 4 \div 2$ or $4 + (3 \times 2) - 4 \div 2$

Wednesday

Step1: Multiply 76 and 327

$76 \times 327 = (70 \times 327) + (6 \times 327) = 22890 + 1962 = 24852$

Step2: Divide 3624 by 12

$3624 \div 12 = 302$

Step3: Add decimals 714.29+98.65

$714.29 + 98.65 = 812.94$

Step4: Subtract decimals 1.76-0.98

$1.76 - 0.98 = 0.78$

Step5: Simplify fractions by GCD

$\frac{2\div2}{4\div2}=\frac{1}{2}$; $\frac{6\div6}{18\div6}=\frac{1}{3}$; $\frac{4\div4}{20\div4}=\frac{1}{5}$

Step6: List multiples (n×1 to n×5)

6×1=6, 6×2=12, 6×3=18, 6×4=24, 6×5=30; 9×1=9, 9×2=18, 9×3=27, 9×4=36, 9×5=45; 7×1=7, 7×2=14, 7×3=21, 7×4=28, 7×5=35

Step7: List factors (divisors)

12:1,2,3,4,6,12; 2:1,2; 45:1,3,5,9,15,45; 50:1,2,5,10,25,50

Step8: Apply order of operations

$(24 + 2) \div 2 = 26 \div 2 = 13$

Step9: Create expressions equal to 19

$10 + 9$; $20 - 1$

Thursday

Step1: Multiply 94 and 845

$94 \times 845 = (90 \times 845) + (4 \times 845) = 76050 + 3380 = 79430$

Step2: Divide 2114 by 7

$2114 \div 7 = 302$

Step3: Add decimals 59.34+1.85

$59.34 + 1.85 = 61.19$

Step4: Subtract decimals 34.59-6.84

$34.59 - 6.84 = 27.75$

Step5: Simplify fractions by GCD

$\frac{9\div9}{27\div9}=\frac{1}{3}$; $\frac{7}{27}$ (GCD=1); $\frac{8\div4}{36\div4}=\frac{2}{9}$

Step6: List multiples (n×1 to n×5)

11×1=11, 11×2=22, 11×3=33, 11×4=44, 11×5=55; 8×1=8, 8×2=16, 8×3=24, 8×4=32, 8×5=40; 2×1=2, 2×2=4, 2×3=6, 2×4=8, 2×5=10

Step7: List factors (divisors)

48:1,2,3,4,6,8,12,16,24,48; 18:1,2,3,6,9,18; 5:1,5; 16:1,2,4,8,16

Step8: Apply order of operations

$[2 + (9 \times 3)] \times 3 = [2 + 27] \times 3 = 29 \times 3 = 87$

Step9: Create expressions equal to 41

$40 + 1$; $50 - 9$

Answer:

Monday

1. $23 \times 536 = 12328$
2. $240 \div 8 = 30$
3. $2.56 + 4.83 = 7.39$
4. $58.84 - 2.78 = 56.06$
5. $\frac{5}{10}=\frac{1}{2}$; $\frac{4}{12}=\frac{1}{3}$; $\frac{3}{9}=\frac{1}{3}$
6. Multiples of 1: 1, 2, 3, 4, 5; Multiples of 4: 4, 8, 12, 16, 20; Multiples of 5: 5, 10, 15, 20, 25
7. $9 \times 8=72$; $7 \times 9=63$; $6 \times 8=48$; $7 \times 8=56$; $6 \times 9=54$; $7 \times 6=42$; $7 \times 7=49$
8. $6 \times 7 - 8 \div 4 = 38$
9. $(25 - 6) \times 2$ or $25 - (6 \times 2)$

Tuesday

1. $54 \times 653 = 35262$
2. $927 \div 3 = 309$
3. $93.5 + 8.7 = 102.2$
4. $528.77 - 41.68 = 487.09$
5. $\frac{6}{9}=\frac{2}{3}$; $\frac{2}{16}=\frac{1}{8}$; $\frac{10}{40}=\frac{1}{4}$
6. Multiples of 12: 12, 24, 36, 48, 60; Multiples of 10: 10, 20, 30, 40, 50; Multiples of 3: 3, 6, 9, 12, 15
7. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24; Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36; Factors of 27: 1, 3, 9, 27; Factors of 7: 1, 7
8. $3 \times (20 - 5) = 45$
9. $(4 + 3) \times 2 - 4 \div 2$ or $4 + (3 \times 2) - 4 \div 2$

Wednesday

1. $76 \times 327 = 24852$
2. $3624 \div 12 = 302$
3. $714.29 + 98.65 = 812.94$
4. $1.76 - 0.98 = 0.78$
5. $\frac{2}{4}=\frac{1}{2}$; $\frac{6}{18}=\frac{1}{3}$; $\frac{4}{20}=\frac{1}{5}$
6. Multiples of 6: 6, 12, 18, 24, 30; Multiples of 9: 9, 18, 27, 36, 45; Multiples of 7: 7, 14, 21, 28, 35
7. Factors of 12: 1, 2, 3, 4, 6, 12; Factors of 2: 1, 2; Factors of 45: 1, 3, 5, 9, 15, 45; Factors of 50: 1, 2, 5, 10, 25, 50
8. $(24 + 2) \div 2 = 13$
9. $10 + 9$; $20 - 1$ (examples)

Thursday

1. $94 \times 845 = 79430$
2. $2114 \div 7 = 302$
3. $59.34 + 1.85 = 61.19$
4. $34.59 - 6.84 = 27.75$
5. $\frac{9}{27}=\frac{1}{3}$; $\frac{7}{27}$ (already simplified); $\frac{8}{36}=\frac{2}{9}$
6. Multiples of 11: 11, 22, 33, 44, 55; Multiples of 8: 8, 16, 24, 32, 40; Multiples of 2: 2, 4, 6, 8, 10
7. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; Factors of 18: 1, 2, 3, 6, 9, 18; Factors of 5: 1, 5; Factors of 16: 1, 2, 4, 8, 16
8. $[2 + (9 \times 3)] \times 3 = 87$
9. $40 + 1$; $50 - 9$ (examples)