Let's solve the pattern step by step.
We are given a series of multiplication problems where we multiply increasing powers of 10 (with 6) by 6:
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1.
6 × 6 = ?
$ 6 \times 6 = 36 $
2.
60 × 6 = ?
$ 60 \times 6 = 360 $
(Think: 6 × 6 = 36, and since 60 has one zero, add one zero → 360)
3.
600 × 6 = ?
$ 600 \times 6 = 3,600 $
(6 × 6 = 36, add two zeros → 3,600)
4.
6,000 × 6 = ?
$ 6,000 \times 6 = 36,000 $
(Add three zeros → 36,000)
5.
60,000 × 6 = ?
$ 60,000 \times 6 = 360,000 $
(Add four zeros → 360,000)
6.
600,000 × 6 = ?
$ 600,000 \times 6 = 3,600,000 $
(Add five zeros → 3,600,000)
7.
6,000,000 × 6 = ?
$ 6,000,000 \times 6 = 36,000,000 $
(Add six zeros → 36,000,000)
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✔ Final Answers:
- $ 6 \times 6 = 36 $
- $ 60 \times 6 = 360 $
- $ 600 \times 6 = 3,600 $
- $ 6,000 \times 6 = 36,000 $
- $ 60,000 \times 6 = 360,000 $
- $ 600,000 \times 6 = 3,600,000 $
- $ 6,000,000 \times 6 = 36,000,000 $
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🔍 Pattern Explanation:
Each time, the first number is multiplied by 10 (i.e., a zero is added), so the result also gets an extra zero.
So starting from $ 6 \times 6 = 36 $, each next result adds one more zero.
This shows how multiplying by multiples of 10 affects the product — you just shift the digits left and add zeros.
✔ The pattern is:
Multiply 6 by increasing powers of 10 times 6, resulting in 36 followed by increasing numbers of zeros.
Parent Tip: Review the logic above to help your child master the concept of multiplication patterns worksheet grade 5.
