Numeracy: Quantity Relationships (Practice Guide) Do you know your whole numbers to a million/1000000 (e.g. 1234567.00)? Write 2 whole numbers and name one place value. 1. 2. Do you know your decimals to the thousandths (e.g. 1.4567)? Write 2 decimal numbers and name one place value in the thousandths and tenths column. 1. 2. Do you know your Prime and Composite numbers? (e.g. 7 is Prime and 8 is composite; WHY?) Numeracy: Operational Sense a) Do you know how to add and subtract whole numbers? 77 + 33 = or 77 - 33 = b) Do you know how to add and subtract decimal numbers to a thousandth? 77.777 + 33.333 = or 77.777 – 33.333 = c) Do you know how to multiply whole numbers? 7777 x 33 = d) Do you know how to multiply decimal number by 10, 100, 1000 and 10 000? Look for a pattern! 3 x 10 = 30, 3 x 100 = 300, 3 x 1000 = 3000, and 3 x 10 000 = 30000 (What do you notice about the zeros in the answers?) e) Do you know how to multiply decimal numbers to the tenths? 0.7 x 0.3 = f) Do you know how to multiply whole numbers by 0.1, 0.01, and 0.001? Look for a pattern! 7 x 0.1 = 0.7, 7 x 0.01 = 0.07 and 7 x 0.001 = 0.007 (What do you notice about the place value change regarding the 7 in the answers?) ______________________________________________________________________________ Let’s try some questions! 1. Tatyana bought 15 cartons with 18 eggs in each to make hard-boiled eggs for her family reunion. How many eggs were there altogether? Explain why you chose your strategy. (Refer to your Math Strategies Anchor Chart and Use the Chart Below) Complete Your Work Here 2. Sarah set up chairs for the school's celebration assembly. There were between 10 and 50 rows of chairs, and between 10 and 15 chairs in each row. Choose numbers Ernesto might have used, and work out how many chairs he needed. Explain why you chose your strategy. Complete Your Work Here 3. Benito made a huge pile of cookies to sell at his bakery. He put 36 cookies on each tray, and baked a few dozen trays at once in his giant ovens. Choose a possible number of trays and work out how many cookies he baked at one time. Explain why you chose your strategy. Complete Your Work Here 4. Can you compare decimals? Remember to look at all the place values! ROUNDING WHOLE NUMBERS Numbers can be rounded to the nearest hundred, thousand and ten thousand. To round, find the value of the number in the particular place value spot and look to the number to the right, if it is five or greater round the number up by one. If it is four or less, do not change the value of your number. After the number is rounded, any numbers following it are zeros. For example, 85 354 to the nearest hundred is 85 400, to the nearest thousand is 85 000, to the nearest ten thousand 90 000. A number line can help with rounding, because you can visually see which value your number to be rounded is closer to. 80 000 <--|--|--|--|--|--|--|--|--|--> 90 000 \--> 85 354 Round each number to the nearest million, hundred thousand, ten thousand, nearest thousand, and the nearest hundred a) 6 132 456 b) 2 540 117 c) 1 935 648