Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Test1 |
Grade: 6-b Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the expression: \$((8x^3)(y^2) \div (3x^2)) \times ((5x) \div (4y))\$. |
|
2 |
Step |
Given expression |
\$((8x^3)(y^2) \div (3x^2)) \times ((5x) \div (4y))\$ |
3 |
Step |
Multiply the numerators |
\$( (8x^3)(y^2) \times 5x ) = 40 (x^4 )(y^2) \$ |
4 |
Step |
Multiply the denominators |
\$( (3x^2) \times (4y) = (12x^2 y) ) \$ |
5 |
Step |
Simplify the resulting expression.So, we have: |
\$ (40 (x^4 )(y^2) ) \div (12x^2 y)\$ |
6 |
Step |
Now, we can simplify this fraction by canceling out common factors: |
\$ (40 (x^4 )(y^2) ) \div (12x^2 y) \$ \$ (10 (x^4 )(y^2) ) \div (3x^2 y)\$ \$ (10 \div 3) \times (x^2y) \$ |
7 |
Step |
So, the simplified expression is |
\$ (10 \div 3) \times (x^2) \$ |
8 |
Choice.A |
This answer is correct because the simplified expression is \$ (10 \div 3) \times (x^2y) \$ |
\$ (10 \div 3) \times (x^2y) \$ |
9 |
Choice.B |
This answer is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2y) \$ |
\$ (20 \div 3) \times (x^2y) \$ |
10 |
Choice.C |
This answer is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2y) \$ |
\$ (10 \div 5) \times (x^2y) \$ |
11 |
Choice.D |
This answer is incorrect because the simplified expression is \$ (10 \div 3) \times (x^2y) \$ |
\$ (15 \div 2) \times (x^2y) \$ |
12 |
Answer |
Option |
A |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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