Question

ready for pt?name:answer the 12 review questions below. then place your answers in the 2/9 canvas assignment. (if you need help reviewing rounding or place values, there is a video link in the 2/9 canvas assignment.)1) round to the nearest whole number.45.3 _____2) round to the nearest whole number.1.852 ___3) round to the nearest tenth.3.3751 ___4) round to the nearest tenth.45.329 ___5) round to the nearest hundredth.45.455 ___6) round to the nearest hundredth.3.3751 ___7) find the square root (use your multiplication table if necessary).$sqrt{9}$ ___8) find the square root (use your multiplication table if necessary).$sqrt{36}$ ___9) find the square root (use your multiplication table if necessary).$sqrt{49}$ ___10) solve (use your multiplication table if necessary).$10^2$ ___11) solve (use your multiplication table if necessary).$25^2$ ___12) solve (use your multiplication table if necessary).$4^2$ _____after entering the above in canvas....remember, when solving multi-step equations it is important to show all steps every time. often, one persons thinking is a little different than anothers and a simple mistake is made...but they dont show all of the steps so we cant help them. please circle the step where the error is made (try to identify what they did). then, use the blank box on the right to resolve the entire problem, showing all of the steps.$2(5g - 1) = 3$step 1 $5g - 1 = 1.5$step 2 $5g = 2.5$step 3 $g = 5$$\frac{1}{4}r + 2 = 10$step 1 $\frac{1}{4}r = 12$step 2 $r = 48$$2(5g - 1) = 3$$\frac{1}{4}r + 2 = 10$

Explanation:

Step1: Correct top rounding questions

1. $45.3

ightarrow 45$ (tenths digit <5, round down)

1. $1.852

ightarrow 2$ (tenths digit ≥5, round up)

1. $3.3751

ightarrow 3.4$ (hundredths digit ≥5, round up tenths place)

1. $45.329

ightarrow 45.3$ (hundredths digit <5, keep tenths place)

1. $45.455

ightarrow 45.46$ (thousandths digit ≥5, round up hundredths place)

1. $3.3751

ightarrow 3.38$ (thousandths digit ≥5, round up hundredths place)

Step2: Correct root/exponent questions

1. $\sqrt{9} = 3$ (since $3 \times 3 = 9$)
2. $\sqrt{36} = 6$ (since $6 \times 6 = 36$)
3. $\sqrt{49} = 7$ (since $7 \times 7 = 7$)
4. $10^2 = 10 \times 10 = 100$
5. $25^2 = 25 \times 25 = 625$
6. $4^2 = 4 \times 4 = 16$

Step3: Fix $2(5g-1)=3$ error

Error in Step3: Divided incorrectly.

Step1: Divide both sides by 2

$\frac{2(5g-1)}{2} = \frac{3}{2} \implies 5g - 1 = 1.5$

Step2: Add 1 to both sides

$5g - 1 + 1 = 1.5 + 1 \implies 5g = 2.5$

Step3: Divide by 5

$\frac{5g}{5} = \frac{2.5}{5} \implies g = 0.5$

Step4: Fix $\frac{1}{4}r + 2 = 10$ error

Error in Step1: Subtracted wrong value.

Step1: Subtract 2 from both sides

$\frac{1}{4}r + 2 - 2 = 10 - 2 \implies \frac{1}{4}r = 8$

Step2: Multiply by 4

$\frac{1}{4}r \times 4 = 8 \times 4 \implies r = 32$

Answer:

Rounding, Roots, Exponents Corrected Answers:

1. 45
2. 2
3. 3.4
4. 45.3
5. 45.46
6. 3.38
7. 3
8. 6
9. 7
10. 100
11. 625
12. 16

Equation 1: $2(5g-1)=3$

Error: Step 3 (incorrect division of 2.5 by 5)
Correct solution: $g = 0.5$

Equation 2: $\frac{1}{4}r + 2 = 10$

Error: Step 1 (subtracted 2 incorrectly, got 12 instead of 8)
Correct solution: $r = 32$