Question 34 of 47intermediate🔍 AnalyzeShort Answer4 marks

Identify the problems that have the same answer as the one given at the top of each box. Do not calculate. First box: 12×1712 \times 17. Second box: 18×418 \times 4. Third box: 101×42101 \times 42. Fourth box: 1001×51001 \times 5. Fifth box: 26×1126 \times 11. Sixth box: 55×955 \times 9. Seventh box: 247×8247 \times 8. Eighth box: 1999×21999 \times 2.

Correct Answer

First box: 12×1712 \times 17: 6×346 \times 34 has the same answer (both equal 204).

Second box: 18×418 \times 4: 9×89 \times 8 and 20×420 \times 4 - 8 have the same answer (72).

Third box: 101×42101 \times 42: 100×42100 \times 42 + 42 has the same answer (4242).

Fourth box: 1001×51001 \times 5: 1000×51000 \times 5 + 5 has the same answer (5005).

Fifth box: 26×1126 \times 11: 26×1026 \times 10 and 26×126 \times 1, and 20×1120 \times 11 and 6×116 \times 11 have the same answer (286).

Sixth box: 55×955 \times 9: 50×950 \times 9 and 5×95 \times 9, and 55×1055 \times 10 - 55 have the same answer (495).

Seventh box: 247×8247 \times 8: 250×8250 \times 8 - 24 has the same answer (1976).

Eighth box: 1999×21999 \times 2: 2000×22000 \times 2 - 2 has the same answer (3998).

Exercise: Check, Check! | Q: 1 | (Page Page 17)
For More Understanding

Explanation

Students use properties of multiplication (distributive property, doubling and halving, nearest multiple) to identify equivalent expressions without calculating.

Solution Steps

  1. First box: 6×346 \times 34 has the same answer as 12×1712 \times 17

  2. Second box: 9×89 \times 8 and 20×420 \times 4 - 8 have the same answer as 18×418 \times 4

  3. Third box: 100×42100 \times 42 + 42 has the same answer as 101×42101 \times 42

  4. Fourth box: 1000×51000 \times 5 + 5 has the same answer as 1001×51001 \times 5

  5. Fifth box: 26×1026 \times 10 and 26×126 \times 1, and 20×1120 \times 11 and 6×116 \times 11 have the same answer as 26×1126 \times 11

  6. Sixth box: 50×950 \times 9 and 5×95 \times 9, and 55×1055 \times 10 - 55 have the same answer as 55×955 \times 9

  7. Seventh box: 250×8250 \times 8 - 24 has the same answer as 247×8247 \times 8

  8. Eighth box: 2000×22000 \times 2 - 2 has the same answer as 1999×21999 \times 2

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