Question

day 3 - please show your thinking! you might need to do it on another piece of paper.
computation
823.9 - 29.6 =
523 × 27 =
72.4 × 4.5=
fractions / decimals
put the following fractions and decimals in order from least to greatest.
\\(\frac{1}{2}\\) , 0.28 , \\(\frac{2}{3}\\) , \\(\frac{3}{4}\\) , 0.435
\\(\frac{1}{3}\\) , 0.76 , \\(\frac{3}{4}\\) , 0.21 , \\(\frac{7}{8}\\)
algebraic expressions
write the expression for the following situations:

• some more than fifty
• l decreased by 100
• two times more than c

word problems
jodi wants to buy her friend a present that costs $15.25. she wants to buy her brother a present that costs $22.47. jodi has saved $18.50. how much more does she need to save to buy both presents?
bonus: create a word problem that includes two of your fifth grade teachers. see if a family member can correctly solve it using the four square method (you are now the teacher; dont give them the answer, just give them clues).

Explanation:

Step1: Subtract decimals

$823.9 - 29.6 = 794.3$

Step2: Multiply whole numbers

$523 \times 27 = 523\times(20+7)=523\times20 + 523\times7=10460+3661=14121$

Step3: Multiply decimals

$72.4 \times 4.5 = 72.4\times(4+0.5)=72.4\times4 + 72.4\times0.5=289.6+36.2=325.8$

Step4: Convert fractions to decimals (set1)

$\frac{1}{2}=0.5$, $\frac{2}{3}\approx0.667$, $\frac{3}{4}=0.75$

Step5: Order set1 least to greatest

$0.28 < 0.435 < 0.5 < 0.667 < 0.75$

Step6: Convert fractions to decimals (set2)

$\frac{1}{3}\approx0.333$, $\frac{3}{4}=0.75$, $\frac{7}{8}=0.875$

Step7: Order set2 least to greatest

$0.21 < 0.333 < 0.75 < 0.76 < 0.875$

Step8: Write algebraic expression 1

Let "some" = $x$: $50 + x$

Step9: Write algebraic expression 2

$L - 100$

Step10: Write algebraic expression 3

$2C$

Step11: Calculate total cost of presents

$\$15.25 + \$22.47 = \$37.72$

Step12: Find needed savings

$\$37.72 - \$18.50 = \$19.22$

Step13: Create bonus word problem

Example: Ms. Lee has 42 math worksheets to grade, and Mr. Carter has 3 times as many reading worksheets as Ms. Lee's math worksheets minus 8. If they split the total number of worksheets evenly to grade after school, how many worksheets does each teacher grade?

Answer:

Computation:

1. $823.9 - 29.6 = 794.3$
2. $523 \times 27 = 14121$
3. $72.4 \times 4.5 = 325.8$

Fractions / Decimals:

1. Least to greatest: $0.28, 0.435, \frac{1}{2}, \frac{2}{3}, \frac{3}{4}$
2. Least to greatest: $0.21, \frac{1}{3}, \frac{3}{4}, 0.76, \frac{7}{8}$

Algebraic Expressions:

1. $50 + x$ (where $x$ = "some")
2. $L - 100$
3. $2C$

Word Problems:

Jodi needs to save $\$19.22$ more.

Bonus Word Problem:

Ms. Lee has 42 math worksheets to grade, and Mr. Carter has 3 times as many reading worksheets as Ms. Lee's math worksheets minus 8. If they split the total number of worksheets evenly to grade after school, how many worksheets does each teacher grade?