We Distribute, Yet Things Multiply — Important Questions
CBSE · Class 8 · Mathematics
75 important questions from We Distribute, Yet Things Multiply for CBSE Class 8 Mathematics, with answers. Part of the CBSE Class 8 Mathematics syllabus.
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Important Questions from We Distribute, Yet Things Multiply
Hard calculation: A number 3874 is multiplied by 11. What product is obtained using distributive property?
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42614
Use 3874 × 11 = 3874(10 + 1) = 38740 + 3874 = 42614. The tens-place shift and addition give the final product.
Hard calculation: A 4-digit number dcba is multiplied by 11. Which digit pattern appears in the result?
Show answer
d, c+d, b+c, a+b, a
Multiplying by 11 is the same as multiplying by 10 and adding the original number. Each middle digit is formed by adding adjacent digits, so the pattern is d, c+d, b+c, a+b, a.
Hard calculation: If the number of circles at Step k is k^2 + 2k, how many circles are there at Step 12?
Show answer
168
Substitute k = 12: k^2 + 2k = 12^2 + 2(12) = 144 + 24 = 168. The final answer is 168 circles.
Hard calculation: Using the formula a(b + 1) = ab + a, find the increase in product when 48 is multiplied by 19 instead of 18.
Show answer
48
The second factor increases by 1, so the product increases by the first factor. Here the first factor is 48, so the increase is 48.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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