Let's solve each number line multiplication problem step by step. Each number line shows jumps of equal size, and we need to determine the missing factor in the multiplication sentence.
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1. First Number Line:
Number line: Jumps from 0 → 9 → 18 → 27 → 36
Equation: $ 4 \times \square = 36 $
- There are
4 jumps, each of size
9.
- So, $ 4 \times 9 = 36 $
-
✔ Answer: $ \boxed{9} $
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2. Second Number Line:
Number line: Jumps from 0 → 4 → 8 → 12 → 16 → 20 → 24 → 28
Equation: $ \square \times 4 = 28 $
- There are
7 jumps, each of size
4.
- So, $ 7 \times 4 = 28 $
-
✔ Answer: $ \boxed{7} $
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3. Third Number Line:
Number line: Jumps from 0 → 5 → 10 → 15 → 20 → 25
Equation: $ \square \times 5 = 25 $
- There are
5 jumps, each of size
5.
- So, $ 5 \times 5 = 25 $
-
✔ Answer: $ \boxed{5} $
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4. Fourth Number Line:
Number line: Jumps from 0 → 3 → 6 → 9 → 12 → 15 → 18 → 21
Equation: $ 7 \times \square = 21 $
- There are
7 jumps, each of size
3.
- So, $ 7 \times 3 = 21 $
-
✔ Answer: $ \boxed{3} $
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5. Fifth Number Line:
Number line: Jumps from 0 → 6 → 12 → 18 → 24 → 30 → 36 → 42 → 48
Equation: $ 8 \times \square = 48 $
- There are
8 jumps, each of size
6.
- So, $ 8 \times 6 = 48 $
-
✔ Answer: $ \boxed{6} $
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✔ Final Answers:
1. $ 4 \times \boxed{9} = 36 $
2. $ \boxed{7} \times 4 = 28 $
3. $ \boxed{5} \times 5 = 25 $
4. $ 7 \times \boxed{3} = 21 $
5. $ 8 \times \boxed{6} = 48 $
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🔍 Explanation:
Each number line represents
repeated addition, which is the basis of multiplication. The number of jumps tells us how many times we're adding the jump size (the multiplier), and the total distance gives the product.
For example:
- In $ 4 \times 9 = 36 $, you make 4 jumps of 9 units each, landing at 36.
This visual model helps students understand multiplication as repeated addition on a number line.
Parent Tip: Review the logic above to help your child master the concept of number line multiplication worksheet.
