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Solve the following arithmetic problems: h) (-48) (-7), i) 11 1/5 - 8 4/5, j) 16.12 3.9
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7 partsStep-by-step solution
21 stepsHere are the solutions to the problems:
Part h· 2 steps
Multiply the absolute values of the numbers.
Determine the sign of the product.
A negative number multiplied by a negative number results in a positive number.
The product is .
Part h(i)
Convert the mixed numbers to improper fractions.
Subtract the improper fractions.
Convert the improper fraction back to a mixed number.
The difference is .
j)
Multiply the numbers as if they were whole numbers, ignoring the decimal points for now.
Perform the multiplication.
Count the total number of decimal places in the original numbers.
16.12 has 2 decimal places.
3.9 has 1 decimal place.
Total decimal places = .Place the decimal point in the product so that it has 3 decimal places.
The product is .
SECTION B:
Part a90.4
Round off 90.361 to the nearest tenths.
Identify the digit in the tenths place, which is 3.
Look at the digit immediately to its right, which is 6.
Since 6 is 5 or greater, round up the tenths digit.
The 3 in the tenths place becomes 4.
The rounded number is .
Part b
Write 10.014 in words.
The number 10.014 is written as Ten and fourteen thousandths.
Part c97938
Which number is expanded to get ?
Arrange the terms in descending order of place value.
Add the terms together.
The number is .
Part d3
How many prime numbers are there between 101 and 110?
List the integers between 101 and 110
$102, 103, 104, 105, 106, 107, 108, 109$.
Identify prime numbers (numbers greater than 1 that have no positive divisors other than 1 and themselves).
- 102 is even, so it's not prime.
- 103: Not divisible by . It is a prime number.
- 104 is even, so it's not prime.
- 105 ends in 5, so it's not prime.
- 106 is even, so it's not prime.
- 107: Not divisible by . It is a prime number.
- 108 is even, so it's not prime.
- 109: Not divisible by . It is a prime number. The prime numbers between 101 and 110 are . There are prime numbers.
Part e6000
Write the place value of 6 in the number 96784.
Identify the position of the digit 6 in the number 96784.
The digit 6 is in the thousands place.
Determine its value based on its position.
The place value of 6 is .
The place value of 6 is .
Part f
Which fraction is bigger between and ?
Find a common denominator for the two fractions.
The least common multiple of 3 and 4 is 12.
Convert each fraction to an equivalent fraction with the common denominator.
Compare the numerators of the equivalent fractions.
Since , it means .
Therefore, is bigger than .
The bigger fraction is .
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