Question
State if the following number sentences are true or \[ 72+7>6 \times 2 \times 2 \times 2 \times 2 \]
Ask by Fitzgerald Nguyen. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The number sentence \( 72 + 7 > 6 \times 2 \times 2 \times 2 \times 2 \) is **false** because \( 79 \) is not greater than \( 96 \).
Solution
Let's evaluate both sides of the inequality to determine whether the statement is true or false.
**Given Inequality:**
\[ 72 + 7 > 6 \times 2 \times 2 \times 2 \times 2 \]
**Step 1: Calculate the Left Side (LHS)**
\[ 72 + 7 = 79 \]
**Step 2: Calculate the Right Side (RHS)**
\[ 6 \times 2 \times 2 \times 2 \times 2 \]
\[ = 6 \times (2^4) \]
\[ = 6 \times 16 \]
\[ = 96 \]
**Step 3: Compare LHS and RHS**
\[ 79 > 96 \]
**Conclusion:**
\[ 79 \) is **not** greater than \( 96 \).
**Therefore, the number sentence is **false**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To determine if the number sentence is true, we need to evaluate both sides of the inequality. On the left side, we have: \[ 72 + 7 = 79 \] On the right side, we calculate: \[ 6 \times 2 \times 2 \times 2 \times 2 = 6 \times 16 = 96 \] Now we compare the two results: \[ 79 > 96 \] This statement is false. Therefore, the number sentence is not true.
