just wanted to check a few more questions...
1. Find the prime factorization of the number 20. Answer- 2x2x5
2. Find the greatest common factor of 30, 45, and 50. Answer -5
3. Complete the statement using the given property. 6 x (4 x 7) = Associative property of multiplication Answer- 6x28=168
4. What is the product of 126 and 604? Answer- 76,104
5. Evaluate.72 divied 8 - 9 divided 3 Answer-6
6. You wish to cover a bathroom floor with 1-square-foot (1-ft2) tiles that cost $2 each. If the bathroom is rectangular, 6 ft by 7 ft, how much will the cost? Answer- $84
7. Divide 4 1/5 by14 Write the result in simplest form answer- 3/10
3) No. Associative property is a x (b x c)= (a x b) x c
5 makes no sense to me.
others correct.
1. To find the prime factorization of a number, you need to break it down into its prime factors. Start by dividing the number by the smallest prime number, which is 2. In this case, 20 divided by 2 is 10. Next, divide 10 by 2 again, which gives you 5. Since 5 is a prime number, you can stop here. Therefore, the prime factorization of 20 is 2 x 2 x 5.
2. To find the greatest common factor (GCF) of multiple numbers, you need to find all the factors of each number and identify the largest factor that they all have in common. Start by listing the factors of each number:
- The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.
- The factors of 45 are 1, 3, 5, 9, 15, 45.
- The factors of 50 are 1, 2, 5, 10, 25, 50.
Looking at the lists, you can see that the largest factor that all three numbers share is 5. Therefore, the greatest common factor of 30, 45, and 50 is 5.
3. To verify the associative property of multiplication, you need to perform the multiplication according to the given statement and check if the order of operations doesn't change the result.
In this case, the statement is 6 x (4 x 7).
Performing the inner parentheses first, you get 4 x 7 = 28. Then, you multiply 6 by 28, which gives you 168. Since the result is the same on both sides of the equation, the statement is true, and it demonstrates the associative property of multiplication.
4. To find the product of two numbers, you simply multiply them together. In this case, multiply 126 by 604, which gives you 76,104.
5. To evaluate an expression with division and subtraction, you need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).
In this case, start with the division: 72 divided by 8 is 9, and 9 divided by 3 is 3. Finally, subtract 3 from 9, which gives you 6.
6. To calculate the cost of covering a floor with tiles, you need to multiply the number of tiles by the cost per tile. In this case, the bathroom floor is rectangular and measures 6 ft by 7 ft. This means you need a total of 6 x 7 = 42 tiles. Since each tile costs $2, multiply the number of tiles (42) by the cost per tile ($2), which gives you $84.
7. To divide fractions, you need to follow the rule "invert and multiply." In this case, the expression is 4 1/5 divided by 14. First, convert the whole number mixed fraction to an improper fraction: 4 1/5 can be written as (4 x 5 + 1) / 5 = 21/5.
Now, write the division as multiplication by the reciprocal: (21/5) x (1/14).
Next, multiply the numerators to get the new numerator: 21 x 1 = 21. Multiply the denominators to get the new denominator: 5 x 14 = 70.
Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 7. Dividing 21 by 7 gives 3, and dividing 70 by 7 gives 10. Therefore, the simplified result is 3/10.