Which number sentence is true? This is a common question that arises in mathematics and requires careful analysis to arrive at the correct answer. In this article, we will explore various number sentences and determine which one holds true. But before we delve into the different possibilities, let’s have a quick refresher on number sentences themselves.
A number sentence is a mathematical equation or inequality that states a relationship between numbers. It typically consists of numbers, operations, and symbols such as addition (+), subtraction (-), multiplication (×), division (÷), and equals (=). Let’s consider some examples of number sentences:
1. 5 + 3 = 8
2. 9 – 4 = 5
3. 2 × 6 = 12
4. 15 ÷ 3 = 5
Now, let’s analyze three number sentences and determine which one is true.
Number Sentence 1: 10 + 5 = 15
Number Sentence 2: 4 × 3 = 10 + 2
Number Sentence 3: 25 ÷ 5 = 5
To determine the true number sentence, we need to evaluate each one individually.
Let’s start with Number Sentence 1: 10 + 5 = 15
By performing the addition, we find that 10 + 5 is indeed equal to 15. Therefore, the first number sentence is true.
Moving on to Number Sentence 2: 4 × 3 = 10 + 2
We need to evaluate both sides of the equation separately. On the left side, 4 × 3 gives us 12. On the right side, 10 + 2 also equals 12. Thus, both sides are equal, so the second number sentence is true.
Finally, let’s examine Number Sentence 3: 25 ÷ 5 = 5
By dividing 25 by 5, we obtain a quotient of 5. Therefore, the third number sentence is also true.
In conclusion, all three number sentences are true:
1. 10 + 5 = 15
2. 4 × 3 = 10 + 2
3. 25 ÷ 5 = 5
It is crucial to remember that number sentences rely on the principles and properties of mathematics. By applying the correct operations and evaluating each side of the equation or inequality, we can determine whether it holds true or not. This understanding is fundamental in solving mathematical problems, whether they are simple arithmetic exercises or complex algebraic equations.
To recap, number sentences are mathematical expressions that assert a relationship between numbers. By analyzing each side of the equation or inequality and evaluating the operations involved, we can determine their truthfulness. Remember, a number sentence is only true if the numbers and operations on both sides are equal or satisfy the given relationship.