We need to fill in the blanks with the correct inequality or equality signs to describe the relationship between the product of a multiplication and the multiplicand (the number being multiplied). The problem considers three cases: when the multiplier is greater than 1, equal to 1, and less than 1.

ArithmeticInequalitiesMultiplicationReal NumbersNumber Properties
2025/6/9

1. Problem Description

We need to fill in the blanks with the correct inequality or equality signs to describe the relationship between the product of a multiplication and the multiplicand (the number being multiplied). The problem considers three cases: when the multiplier is greater than 1, equal to 1, and less than
1.

2. Solution Steps

Let aa be the multiplicand and bb be the multiplier. We are comparing the product a×ba \times b with the multiplicand aa.
Case 1: The multiplier is greater than 1 (b>1b > 1).
In this case, a×b>aa \times b > a. For example, if a=5a = 5 and b=2b = 2, then 5×2=105 \times 2 = 10, which is greater than
5.
Case 2: The multiplier is equal to 1 (b=1b = 1).
In this case, a×b=aa \times b = a. For example, if a=5a = 5 and b=1b = 1, then 5×1=55 \times 1 = 5, which is equal to
5.
Case 3: The multiplier is less than 1 (b<1b < 1).
In this case, a×b<aa \times b < a. For example, if a=5a = 5 and b=0.5b = 0.5, then 5×0.5=2.55 \times 0.5 = 2.5, which is less than
5.

3. Final Answer

かける数 > 1 のとき、積 > かけられる数
かける数 = 1 のとき、積 = かけられる数
かける数 < 1 のとき、積 < かけられる数

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