Free Math Worksheets | Fun Math Worksheets for Kids - Free Printable
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Step-by-step solution for: Free Math Worksheets | Fun Math Worksheets for Kids
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Show Answer Key & Explanations
Step-by-step solution for: Free Math Worksheets | Fun Math Worksheets for Kids
Problem Description:
The task involves solving a series of multiplication equations and then shading the areas in the grid where the product (answer) is an odd number. The grid contains various multiplication problems, and each problem corresponds to a specific region in the grid.
Step-by-Step Solution:
1. Understand the Task:
- Solve each multiplication equation.
- Determine if the product is odd or even.
- Shade the regions corresponding to equations with odd products.
2. Key Rule for Odd and Even Products:
- The product of two numbers is odd only if both numbers are odd.
- If either (or both) of the numbers being multiplied is even, the product will be even.
3. Solve Each Equation and Identify Odd Products:
We will go through each equation and determine whether the product is odd or even. If it is odd, we will mark it for shading.
#### Top Row:
- \( 8 \times 2 = 16 \) (Even)
- \( 7 \times 4 = 28 \) (Even)
- \( 6 \times 5 = 30 \) (Even)
- \( 8 \times 12 = 96 \) (Even)
- \( 7 \times 2 = 14 \) (Even)
- \( 8 \times 8 = 64 \) (Even)
#### Second Row:
- \( 7 \times 6 = 42 \) (Even)
- \( 7 \times 7 = 49 \) (Odd) — Shade this region.
- \( 6 \times 6 = 36 \) (Even)
- \( 5 \times 5 = 25 \) (Odd) — Shade this region.
- \( 8 \times 5 = 40 \) (Even)
#### Third Row:
- \( 6 \times 2 = 12 \) (Even)
- \( 7 \times 9 = 63 \) (Odd) — Shade this region.
- \( 8 \times 4 = 32 \) (Even)
- \( 5 \times 9 = 45 \) (Odd) — Shade this region.
- \( 8 \times 7 = 56 \) (Even)
- \( 7 \times 5 = 35 \) (Odd) — Shade this region.
#### Fourth Row:
- \( 6 \times 3 = 18 \) (Even)
- \( 8 \times 9 = 72 \) (Even)
- \( 6 \times 11 = 66 \) (Even)
- \( 6 \times 10 = 60 \) (Even)
- \( 7 \times 11 = 77 \) (Odd) — Shade this region.
- \( 5 \times 11 = 55 \) (Odd) — Shade this region.
#### Fifth Row:
- \( 6 \times 9 = 54 \) (Even)
- \( 7 \times 3 = 21 \) (Odd) — Shade this region.
- \( 6 \times 7 = 42 \) (Even)
- \( 6 \times 8 = 48 \) (Even)
- \( 7 \times 10 = 70 \) (Even)
- \( 8 \times 6 = 48 \) (Even)
#### Bottom Row:
- \( 8 \times 11 = 88 \) (Even)
- \( 7 \times 8 = 56 \) (Even)
- \( 8 \times 10 = 80 \) (Even)
4. Regions to Shade:
Based on the above calculations, the regions corresponding to the following equations should be shaded because their products are odd:
- \( 7 \times 7 = 49 \)
- \( 5 \times 5 = 25 \)
- \( 7 \times 9 = 63 \)
- \( 5 \times 9 = 45 \)
- \( 7 \times 5 = 35 \)
- \( 7 \times 11 = 77 \)
- \( 5 \times 11 = 55 \)
- \( 7 \times 3 = 21 \)
5. Final Answer:
The regions to shade are those corresponding to the equations listed above. The final shaded pattern will reveal a shape.
Boxed Answer:
\[
\boxed{\text{Shade the regions corresponding to the equations with odd products as identified above.}}
\]
Parent Tip: Review the logic above to help your child master the concept of math free printable worksheet.