how is the number of zeros in the quotient of 420 divided 7 = 60 related to the number of zeros in the dividend
7 goes into 42 6 times and drop 0 and 7 goes into 0 0 times so the answer has to be 60. to check answer take 60 x 7 = 420
gyui8yfgbn yh60900=6790
To understand the relationship between the number of zeros in the quotient and the number of zeros in the dividend when dividing a number, we need to consider the principles of place value.
When we divide a number by another, we are essentially distributing or partitioning the dividend into equal groups as determined by the divisor. The quotient represents the number of groups that were obtained.
In this case, we are dividing 420 by 7 to find the quotient. Let's break down the steps:
1. Start dividing: When dividing 420 by 7, the first step is to divide the leftmost digit of the dividend by the divisor. In this case, dividing 4 by 7 results in a quotient of 0.
2. Move to the next digit: Since 4 is less than 7, we bring down the next digit (2) to form the new dividend, which becomes 20.
3. Continue dividing: We divide 20 by 7, resulting in a quotient of 2.
4. Analyzing the result: The final quotient is 60, meaning that there are 60 groups of 7 in 420.
Now, let's explore the relationship between the number of zeros in the quotient and the number of zeros in the dividend. In this case, the quotient has one zero at the end, and the dividend (420) has no zeros.
When dividing, the number of zeros at the end of the quotient depends on the presence of zeros at the end of the dividend. If the dividend has no zeros at the end, the quotient won't have any zeros either. Therefore, the number of zeros in the quotient is related to the number of zeros in the dividend.
In summary, when dividing a number, the presence of zeros at the end of the dividend determines the number of zeros at the end of the quotient.