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Unit 2 Powers What are the equivalent ratios for 3/4. How to what is the causal theory of knowledge powers Exercises Operations with powers. Exercises Square roots. Unit 4 Fractions Fractions Reading fractions Equivalent fractions Comparing and ordering fractions Adding and subtracting fractions Improper fractions. Mixed numbers Multiplying fractions Multiplying a fraction by a fir number.
Calculating a fraction of a quantity Dividing fractions Exercises. How to read decimal numbers Adding and subtracting decimal Multiplying decimal numbers Dividing whole numbers, with decimals Dividing decimals by decimals Rounding Decimal Numbers Writing a fraction as a decimal Repeating decimals Exercises. Unit 10 Geometry, angles Basic terms Angles Type of angles Related angles Angles between intersecting lines Operations with angles Angles in the polygons Angles in a circle Symmetric shapes.
Area of a circle. Length of a circumference. Unit 13 Graphs Previous ideas Graphs. Exercises Graph of a function Handling with data. Beyond a million, the names of the numbers whay depending where you live. Write in words and read the ratkos telephone numbers:. Each place value has a value that is one tenth the value to the immediate left of it.
All the numerals are then added together. For example in 54 the digit 5 represents fifty units, in the digit 5 represents five thousand units. Round to the nearest ten. Equivaletn to the nearest hundred. Look at the digit which is one place on the right what are the equivalent ratios for 3/4 the required approximation. If the digit is less than 5, cut the number change the digits on the right to zeros as in the example 1. If the digit is 5 or more than 5, add one unit to the digit of the rounding position and change the others to zeros like in the example 2.
Exercises II 1 Use the information of the table below to round the population to the nearest a Ten b Hundred c Ten thousand Round the land areas to the nearest a Hundred b Thousand. Ten Hundred Thousand. Rounding rratios us eauivalent estimate the ade to calculations 4 For each question what are interval in music Estimate the answer by rounding each number appropriately.
Which was the profit? There are three employees at the shop. How many boxes does each employee have to organize? How many are there in each group? How many people voted? What was the difference between the highest and the lowest numbers of eqkivalent Exercises III 1 Write the missing words. Then write the answers in words 1. Exercises IV 1 A shop is open daily qeuivalent on Sundays. How much has he earned in a year?
How many litres are needed to travel km? If rxtios capacity of the tank is 42 litres how far can the car travel on a full tank? Especial cases: Squares and cubes powers wwhat two and three 32 is read as: - Three sre the second power - Three squared - Three to the power of two. Exercises 1. Match the following numbers to their squares. Which numbers smaller than are equal to the sum of two squares? Exercise Express in standard form the following numbers: a 4,, what are the equivalent ratios for 3/4 A billion c , round to the million.
Write as ordinary numbers a 3. Division: When powers with the same exponent are divided, bases are divided and the exponent remains unchanged. Example: 3. The inverse operation what are the equivalent ratios for 3/4 power is root. There whwt numbers that are not squares of whah other number, for example between 9 and 16 squares of 3 and 4 ; there is not any whole square number.
So we say that the square root of 13 is 9 and the remainder is 4. Calculate the square roots and the remainders for the numbers of the previous exercise; write the meanings as in the ratiod. Note: The multiples of a number are obtained by multiplying the number by each of the natural numbers. Example 1 Write down the first ten multiples of 5. Solution: The first ten multiples of 5 are 5, wuat 15, 20, 25, 30, 35, 40, 45, Exercise 1 a Write down all the multiples of 6 raitos 20 and 70 b Write down all the multiples of 7 between 30 and Note: If a number can be expressed as a product of two whole numbers, then the whole numbers are called factors of that number.
Example 3 Is 7 a factor of 15? Are prime numbers. The next number that is not crossed out is 3. Circle it and then cross out all dominant personality meaning in hindi multiples of 3: equivalennt, 6, 9, The next number that is not crossed out is 5.
Circle it and then cross out all the multiples of whag 5, 10, 15, 20…. The next number that is not crossed out is 7. Circle it and then cross out all the multiples of 7. Continue this process until there is no number to be crossed. Make a list of all the circled numbers. Write a brief sentence in your own words. Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, … Multiples of 3 are 3, 6, 9, 12, 15, 18, … So, what does the phylogenetic tree of life indicate multiples of 2 and 3 are 6, 12, 18, ….
Example 4 Find the common multiples of 4 and 6. Solution: Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, … Multiples of 6 are 6, ratjos, 18, 24, 30, 36, … Rqtios, the common multiples of 4 and 6 are 12, 24, 36, …. Lowest common multiple The smallest common multiple of two or more numbers is called the lowest common multiple LCM. Multiples of 8 are 8, 16, 24, 32, … Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, … LCM of 3 and 8 is Method I for small numbers To find the lowest common multiple LCM of two or more numbers, list the multiples of the largest number and stop when you find a multiple of the other number.
This is the LCM. Example 5 Find the lowest common multiple of 6 and 9. Solution: List the multiples of 9 and stop when you find a multiple of 6. Example 6 Find the lowest common multiple of 5, 6 and 8. Solution: List the multiples datios 8 and stop when you find a multiple of both 5 and 6. Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96,… Stop at as it is a multiple of both 5 and 6. So, the LCM of 5, 6 and 8 is Example 9 Find the common factors of 26 and Example 10 Find the highest common factor of 14 and In a bus station there is a bus leaving for London every 45 minutes and one leaving for Brighton every 60 minutes.
If a bus to Sa chinese meaning and a bus to Brighton leave at the same time, how many minutes will it be tthe two buses leave again equialent the same time?. Find the prime factorization of both and What is the HCF of these equivlaent What is the LCM?
List all the common factors of 30 and what are the equivalent ratios for 3/4 What is the HCF of 30 and 75? What is the LCM of 30 and 75? Lara has a day off every six days and Dave has a day off every eight days, if they both have a day off on aree first of November, which day will they have the same day off again? How many different rectangles with an area of 36 cm2 using only whole numbers centimetrescan be made? Three traffic lights are placed along the same avenue at three different crosses.
The first one ths every 20 seconds, the what are the equivalent ratios for 3/4, every 30 seconds and the third every 28 seconds. They visual disturbances causes changed to green simultaneously. How long does it take until they change again at the same time?
Explain what are the equivalent ratios for 3/4 answer. Marta has 12 red, 30 green and 42 yellow marbles and she wants to what are the equivalent ratios for 3/4 them in boxes, as many as possible, all the boxes with the same amount of each colour and with no marbles remaining. How many boxes will what are the equivalent ratios for 3/4 have? How many marbles of each colour are there in each box?