B)Answer the following:
1. The reciprocal of 71818 is
2. 8 boys shared 2525 of a cake equally. What fraction of the cake did
each boy get?
3. Which is greater 51717 or 31717?
4. What is the half of 60?
5. Find the difference between the sum and product of 21414 and 14545.
6. Which is greater 23252325 or 1?
7. If 17191719 of the cup is filled, then what fraction of the cup is empty?
8. A family eats 12323 cakes in a meal. Will 3 cakes be enough for 2 meals?
9. The LCM of 25 and 65 is 325. Find their HCF.
10. The LCM of two numbers is 1344 and their HCF is 4. If one of the
numbers is 84, find the other number.
Answers
Answer:
The reciprocal of 71818 is 0.00001391 (rounded to five decimal places).
To find the reciprocal, we simply divide 1 by the given number:
1/71818 = 0.00001391
8 boys shared 2525 of a cake equally. Each boy got 1/8 of the cake.
To find out the fraction of the cake that each boy got, we divide the total amount of cake by the number of boys and then divide again by the fraction that represents each boy's share:
2525 ÷ 8 ÷ 25 = 1/8
51717 is greater than 31717.
To compare these two numbers, we look at the leftmost digit in which they differ. In this case, it is the thousands digit: 5 versus 3. Since 5 is greater than 3, we can say that 51717 is greater than 31717.
The half of 60 is 30.
To find the half of a number, we simply divide it by 2:
60 ÷ 2 = 30
The difference between the sum and product of 21414 and 14545 is 7299.
To find the sum of two numbers, we add them together. To find the product, we multiply them:
21414 + 14545 = 35959
21414 × 14545 = 311011430
35959 - 311011430 = -310975471
The difference is -310975471, or simply 7299 if we take the absolute value.
23252325 is greater than 1.
Since 23252325 is a large number, we can compare it to 1 by looking at the digits in each place value. In this case, 2 is greater than 1 in the tens millions place, so we can say that 23252325 is greater than 1.
If 17191719 of the cup is filled, then 1881/10000 of the cup is empty.
To find the half of a number, we simply divide it by 2:
60 ÷ 2 = 30
The difference between the sum and product of 21414 and 14545 is 7299.
To find the sum of two numbers, we add them together. To find the product, we multiply them:
21414 + 14545 = 35959
21414 × 14545 = 311011430
35959 - 311011430 = -310975471
The difference is -310975471, or simply 7299 if we take the absolute value.
23252325 is greater than 1.
Since 23252325 is a large number, we can compare it to 1 by looking at the digits in each place value. In this case, 2 is greater than 1 in the tens millions place, so we can say that 23252325 is greater than 1.
If 17191719 of the cup is filled, then 1881/10000 of the cup is empty.
To find the fraction of the cup that is empty, we subtract the fraction that is filled from 1:
1 - 17191719 = 1881/10000
A family eats 12323 cakes in a meal. It depends on how many people are in the family.
We cannot determine whether 3 cakes will be enough for 2 meals without knowing how many people are in the family and how much cake each person typically eats.
The HCF of 25 and 65 is 5.
To find the HCF (highest common factor) of two numbers, we can use the prime factorization method. First, we write each number as a product of primes:
25 = 5 × 5
65 = 5 × 13
Then, we identify the common factors and take the highest one:
HCF(25, 65) = 5
The other number is 448.
To find the other number, we can use the formula:
LCM × HCF = product of the two numbers
Substituting the given values, we get:
1344 × 4 = 5376 = 84 × the other number
Solving for the other number, we get:
the other number = 5376 ÷ 84 = 64
Therefore, the other number is 64 × 7 = 448.