Test each basic arithmetic operator (+, -, *, /) to see which one satisfies the equation 70 == 10 [operator] 7.
Testing multiplication: 10 × 7 = 70 , which satisfies the equation.
Other operators do not satisfy the equation: 10 + 7 = 17 , 10 − 7 = 3 , 10/7 ≈ 1.43 .
Therefore, the correct operator is multiplication: 70 = 10 ∗ 7 .
Explanation
Problem Analysis We need to find the correct mathematical operator to fill in the blank space in the equation 70 == 10 [operator] 7, using the numbers 10 and 7. The possible operators are addition, subtraction, multiplication, and division. We will test each operator to see which one makes the equation true.
Testing Addition Let's test addition: 10 + 7 = 17. Since 17 is not equal to 70, addition is not the correct operator.
Testing Subtraction Let's test subtraction: 10 - 7 = 3. Since 3 is not equal to 70, subtraction is not the correct operator.
Testing Multiplication Let's test multiplication: 10 * 7 = 70. Since 70 is equal to 70, multiplication is the correct operator.
Testing Division Let's test division: 10 / 7 = 1.4285714285714286 (approximately). Since 1.4285714285714286 is not equal to 70, division is not the correct operator.
Conclusion Therefore, the correct operator is multiplication, which makes the equation 70 == 10 * 7 true.
Final Answer The equation is 70 = 10 * 7.
Examples
Understanding how different operations affect numbers is crucial in everyday calculations, such as determining the total cost of multiple items. For instance, if you buy 10 items each costing $7, the total cost is calculated by multiplying the number of items by the cost per item: $10 \times 7 = $70. This simple multiplication helps in budgeting and financial planning.
The correct operator for the equation 70 == 10 [operator] 7 is multiplication, as it satisfies the equation. Thus, the equation can be written as 70 = 10 * 7. Other operators such as addition, subtraction, and division do not meet the requirement of the equation.
;