Find the product of 27×60. Then explain how you would use mental math to find the product of 27×600
27 * 60 = 1620
Since the second problem has one more zero, what would you estimate its answer is?
To find the product of 27 multiplied by 60, you would simply multiply the two numbers together. 27 multiplied by 60 equals 1,620.
Now, to use mental math to find the product of 27 multiplied by 600, we can break down the problem into smaller, more manageable calculations.
1. First, multiply 27 by 10: 27 × 10 = 270
This is because multiplying by 10 is essentially adding a zero at the end.
2. Next, multiply 27 by 100: 27 × 100 = 2,700
Similarly, multiplying by 100 is adding two zeros at the end.
3. Finally, multiply 27 by 600: 27 × 600 = 2,700 × 6
Since multiplying by 600 is the same as multiplying by 6 and then adding three zeros at the end, we can use the previous result of multiplying by 100 and multiply it by 6.
By breaking down the problem into smaller steps, we can use mental math to find the product of 27 multiplied by 600. In this case, 27 × 600 equals 16,200.