Place Value to Thousands

Size: px

Start display at page:

Download "Place Value to Thousands"

Emily Lawson
5 years ago
Views:

1 Place Value to Thousands You can show,0 in a place-value chart. The value of each digit in a number depends on its place in the number. In,0 the value of: is hundred thousand or 00,000. is ten thousands or 0,000. is thousands or 000. Thousands Period tens ones hundred s Each period has three digits. tens ones hundred s 0, Ones Period is hundreds or is 0 tens or 0. is ones or. Standard Form:,0 Remember: Four-digit numbers may be written with or without a comma. In numbers larger than, use a comma to separate the periods. Word Name: one hundred fifty-eight thousand, seven hundred six Write the place of the underlined digit. Then write its value. thousands; 0. _. _,. _,. _0, tens; 0 thousands; 000 hundred thousands; 00,000 Place a comma where needed in each. Then write the period name for the underlined digit.. _. _. 0_000. _ 00 ones, thousands, thousands, thousands, Write the number in standard form.. forty-five thousand, seven hundred sixty-two 0. five thousand, six, 00. nine hundred thousand, seven. ten thousand, nineteen 00,00 0,0 Write the word name for each number. (See right.). 0.,00.,0.,0 Numeration I

2 Tenths and Hundredths A number less than one can be written either as a fraction or as a decimal. tenth 0 hundredths one whole one tenth one hundredth A decimal point separates the whole number part from the decimal part. 0 shows no ones. 0 shows no tenths Equivalent decimals show the same amount. Write a fraction and a decimal for each ; 0. 0 ; ; ; 0. Write as a decimal Compare. Write,,, or Write an equivalent decimal Decimals

3 Geometric Concepts Description Figure Symbol Read As A point is an exact location in space, usually represented by a dot. P P point P A line is a set of points in a plane that forms a straight path and extends indefinitely in opposite directions. A B AB or BA line AB A line segment is part of a line with two endpoints. C D CD or DC line segment CD or DC A ray is part of a line that starts at an endpoint and extends indefinitely in one direction. E F EF ray EF A plane is a flat surface that extends indefinitely in all directions. R J K RJK Plane RJK Intersecting lines are lines that meet at a common point. A C P D B AB and CD intersect at P. Line AB and line CD intersect at point P. Parallel lines are lines in the same plane that never intersect. E G F H EF GH Line EF is parallel to line GH. Identify each figure. Then name it using symbols. plane; plane QBT.. Y. R. O P S Q X B ray; OP T line segment; XY or YX line; RS or SR Draw and label each figure. You may use dot paper. Check students answers. Figures may vary.. DM. XY. FE. point Z. plane SQR E F (See above.) (See above.) 0. lines EM and DR intersecting at X (See above.). parallel lines XR and YT.. (See above.) D M X Y Geometry I

4 Identify Polygons A polygon is a closed plane figure formed by line segments. The line segments are called sides. Pairs of sides meet at a point called a vertex (plural: vertices). Polygons are classified by the number of sides or vertices (or angles). sides angles vertices side angle triangle quadrilateral pentagon hexagon sides vertices sides vertices sides vertices sides vertices Decide if each figure is a polygon. Write Yes or No..... Yes No Yes No Name each polygon..... triangle hexagon pentagon quadrilateral Complete the table Figure Name Number of Sides Number of Vertices triangle pentagon hexagon rectangle Geometry II

5 Compare and Order Whole Numbers Compare,0 and,. To compare whole numbers: Align the digits by place value. Start at the left and find the first place where the digits are different. Compare the value of these digits to find which number is greater.,0,,0,,0, So,,0. You could also say,0,. Order from greatest to least:,0;,; 0,;, To order whole numbers: Align the digits by place value. Compare the digits in each place, starting with the greatest place. Remember: means is less than. means is greater than. means is equal to.,0, 0,,,0, 0,,,0, 0,, There are no hundred thousands in the other numbers. 0, is the greatest. and, is the least.,,0 In order from greatest to least the numbers are: 0,;,0;,;, The order from least to greatest:,;,;,0; 0, Compare. Write,,, or....,,.,0,0 Write in order from least to greatest.. ; ; ;. ; 0; ; ; ; ; ; 0; ;.,0;,; 0,;,.,;,;,;, 0,;,;,;,0,;,;,;, Numeration II

Round Whole Numbers To round a number to a given place: Find the place you are rounding to. Look at the digit to its right. If the digit is less than, round down. If the digit is or more, round up.

6 Round Whole Numbers To round a number to a given place: Find the place you are rounding to. Look at the digit to its right. If the digit is less than, round down. If the digit is or more, round up. Round, to the nearest ten.,,0 Round up to,0. Round, to the nearest hundred. Round, to the nearest thousand.,,00, Round down to,00.,000 Round up to,000. Round to the nearest ten Round to the nearest hundred ,0.,.,0.,0.,0 0.,,00,00,00,00,00,00 Round to the nearest thousand ,.,.,., 0.,,000,000,000,000,000.,0.,0.,0.,. 0,,000,000,000,000 0,000.,. 0,.,. 0,0 0.,0,000,000,000 0,000,000 Numeration III

7 Add and Subtract Whole Numbers To add or subtract whole numbers: Estimate. Align the numbers. Add or subtract, starting with the ones. Regroup when necessary. Add:. Round to estimate: Add the ones. Regroup. Add the tens. Regroup. Add the hundreds. Regroup. Add the thousands. ones ten ones tens hundred tens 0 0 hundreds thousand 0 hundreds 0 0 is close to the estimate of 000. Subtract:. Round to estimate: More ones needed. Regroup. Subtract. tens ones tens ones More tens needed. Regroup. Subtract. hundreds tens hundreds tens Subtract. is close to the estimate of 000. Estimate by rounding. Then add or subtract. (Watch for or.) Accept reasonable estimates Whole Number Operations I

8 Multiply One Digit Multiply:. First, estimate by rounding:. Then multiply. Multiply the ones. Regroup. ones ones ones tens ones Multiply the tens. Add the regrouped tens. Regroup again. ten tens tens tens tens hundred ten Multiply the hundreds. Add the regrouped hundreds. hundreds hundreds hundreds hundred hundreds thousands hundreds is close to the estimate of 00. Estimate by rounding. Then multiply. Accept reasonable estimates Find the product Whole Number Operations II

9 One-Digit Quotients Divide:. Decide where to begin the quotient. Divisor ) ) Dividend Not enough tens Enough ones Estimate: About how many s are in is between and. Try. The quotient begins in the ones place. Divide the ones. Multiply. Subtract and compare. Write the remainder. R ) ) ) ) Remainder Check by multiplying and adding. Quotient Divisor Remainder Dividend The remainder must be less than the divisor. Divide and check.. ) R. ) R. ) R. ) R. ) R. ). ) R. ) R. ) R. ) 0 R 0. ) R R. ) R. ) R. ) R. ) R Find the quotient and the remainder.. R. R. R. R 0.. R. R. R. R R. R. R. R Whole Number Operations III

10 Two-Digit Quotients Divide:. Decide where to begin the quotient. ) Estimate: About how many s are in Try. Enough tens The quotient begins in the tens place. Divide the tens. Multiply. Subtract and compare. Bring down the ones. ) ) ) ) Repeat the steps to divide the ones. Divide the ones. Multiply. Subtract and compare. Check. ) ) R ) Divide and check.. ). ). ). ) R. ) R. ) R. ) R. ) R. ) R 0. ) R Find the quotient and the remainder.. R. R. R. R. R. R. R. R Whole Number Operations IV

11 Fractions A fraction is a number that names one or more equal parts of a whole or region, or of a set. of the equal parts of the banner are green. of the banner is shaded. P of the cars in this parking lot face right. of the cars face right. 0 equal segments are between 0 and. Point P is of the way between 0 and. The numerator tells the number of equal parts being considered. The denominator tells the number of equal parts in the whole or set. Standard Form: Word Name: two thirds Write the fraction for the shaded part or point on the number line.... Draw a model to show each fraction.. as part of a whole Write the fraction in standard form. Check students work.. as part of a set. as a point on a number line. six elevenths. four twentieths. The numerator is, the denominator is. Write the word name for each fraction. six elevenths seven eighths one half two sevenths five ninths eight thirteenths 0 0 P 0 Fractions I

12 Add and Subtract Fractions: Like Denominators Add:. To add fractions with like denominators: Add the numerators. Write the sum over the common denominator. 0 Subtract:. To subtract fractions with like denominators: Subtract the numerators. Write the difference over the common denominator. 0 Study these examples. Use fraction strips or number lines to model each sum or difference. Then write an addition or a subtraction sentence. Check students models.. Add or subtract Fractions III

Adding and Subtracting with Decimals

Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers