Whole+Numbers

Whole Numbers

Page by Lisa 7a This page is designed to help you study for year 7 Maths revision (1.1-1.9). This revision includes basic whole number operations such as place value, addition, subtraction, multiplication, division and order of operations. This chapter is important to understand because it reflects on everyday situations.
 * Summary: **

Let's Get Strarted!

__Place Value__ Our number system is called base 10. The value of the digit depends on where it is placed. For example, 5,746,312 is broken into different sections.
 * < **Millions ** ||< **Hundred Thousands ** ||< **Ten Thousands ** ||< **Thousands ** ||< **Hundreds ** ||< **Tens ** ||< **<span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">Units/Ones ** ||
 * < <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">5 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">7 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">4 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">6 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">3 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">1 ||< <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">2 ||

<span style="font-family: 'Comic Sans MS',cursive; font-size: 130%;">Look at these examples to get a good understanding:

<span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">a)Find the value of 3 in 2834? <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">b)Find the value of 9 in 7,896,543? <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">c)Find the value of 2 in 2345?

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">SYMBOL: **+** <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">WORDS: Add, Plus, Total Value. <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">EXAMPLE: 1+1=2
 * <span style="color: #c444e9; font-family: 'Comic Sans MS',cursive; font-size: 140%;">__Addition__ **

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Here are 2 Simple tips to understanding addition! <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Tip 1: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Set and solve your equation like this:

<span style="color: #a416f3; font-family: 'Comic Sans MS',cursive; font-size: 250%;">

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Tip 2: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Add numbers by columns. If the column adds to 10 or more, carry the 10's to the next column. <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Like this: <span style="font-family: 'Comic Sans MS',cursive;">HAVE A GO AT THESE EXAMPLES: <span style="font-family: 'Comic Sans MS',cursive;">a) 21+90 <span style="font-family: 'Comic Sans MS',cursive;">b) 2345+5432 <span style="font-family: 'Comic Sans MS',cursive;">c) 99+99

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">SYMBOL: **-** <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">WORDS: Take Away, Subtract, Minus <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">EXAMPLE: 2-1=1
 * <span style="color: #c444e9; font-family: 'Comic Sans MS',cursive; font-size: 140%;">__Subtraction__ **

<span style="font-family: 'Comic Sans MS',cursive;">**Here are two simple steps to undertanding subtraction!** <span style="font-family: 'Comic Sans MS',cursive;">Tip 1: <span style="font-family: 'Comic Sans MS',cursive;">Set your equation out like this:

<span style="font-family: 'Comic Sans MS',cursive;">Tip 2: <span style="font-family: 'Comic Sans MS',cursive;">Subtract by columns. If the top number is less than the bottom carry a unit from the next column (top row). <span style="font-family: 'Comic Sans MS',cursive;">Like this: <span style="font-family: 'Comic Sans MS',cursive;">HAVE A GO AT THESE EXAMPLES: <span style="font-family: 'Comic Sans MS',cursive;">a) 76 - 56 <span style="font-family: 'Comic Sans MS',cursive;">b) 1234 -432 <span style="font-family: 'Comic Sans MS',cursive;">c) 98- 23

<span style="font-family: 'Comic Sans MS',cursive;">SYMBOL: x <span style="font-family: 'Comic Sans MS',cursive;">WORDS: multiply, times, product <span style="font-family: 'Comic Sans MS',cursive;">EXAMPLE: 5x5=25 <span style="font-family: 'Comic Sans MS',cursive;">Use Your knowledge of times tables to help you complete the problem. <span style="font-family: 'Comic Sans MS',cursive;">Tip 1: <span style="font-family: 'Comic Sans MS',cursive;">Multiply the botton numbers by the top. Like this:
 * <span style="color: #c444e9; font-family: 'Comic Sans MS',cursive; font-size: 140%;">__Multiplication__ **

<span style="font-family: 'Comic Sans MS',cursive;"> <span style="font-family: 'comic sans ms',cursive;">NOTE: put the smaller numbers on bottom to make it easier <span style="font-family: 'Comic Sans MS',cursive;">Tip 2: <span style="font-family: 'Comic Sans MS',cursive;">If the column adds up to more than 10, carry the unit to the next column. Like This:

<span style="font-family: 'Comic Sans MS',cursive;">Tip 3: <span style="font-family: 'Comic Sans MS',cursive;">When multiplying double digits, solve your problem like this: <span style="font-family: 'Comic Sans MS',cursive;">HAVE A GO AT THESE EXAMPLES: <span style="font-family: 'Comic Sans MS',cursive;">a) 45 x 6 <span style="font-family: 'Comic Sans MS',cursive;">b) 87 x 3 <span style="font-family: 'Comic Sans MS',cursive;">c) 12 x 4

<span style="color: #c444e9; font-family: 'Comic Sans MS',cursive; font-size: 140%;">**__Division__** <span style="font-family: 'Comic Sans MS',cursive;">SYMBOL: <span style="font-family: 'Comic Sans MS',cursive;">WORDS: how many times does it go into, how many groups of, divide <span style="font-family: 'Comic Sans MS',cursive;">EXAMPLE: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Use your knowledge of times tables to complete the problem. <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Tip 1: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Set your equation out like this:

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">Tip 2: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">If the number doesn't fit into the last number, it becomes the remainder.

<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">HAVE A GO AT THESE EXAMPLES: <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">a) 55 divided by 5 <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">b) 121212 divided by 6 <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">c) 83 divided by 4

<span style="font-family: 'Comic Sans MS',cursive;">** __Order of operations__ ** <span style="font-family: 'Comic Sans MS',cursive;">If an equation involves more than 1 operation we need to solve it in the **accepted** for the answer to be correct. <span style="font-family: 'Comic Sans MS',cursive;">For example, 2 + 5 x 2 = <span style="font-family: 'Comic Sans MS',cursive;">If we solve the addition first, the result would be 20. <span style="font-family: 'Comic Sans MS',cursive;">If we solve the Multiplication first, the result would be 12. <span style="font-family: 'Comic Sans MS',cursive;">The **accepted** answer is 12. <span style="font-family: 'Comic Sans MS',cursive;">To understand Order of Operations follow the BODMAS rule:

<span style="font-family: 'Comic Sans MS',cursive;"> **B** rakets first <span style="font-family: 'Comic Sans MS',cursive;"> **O** I f a fration **o** f a number is required, you complete that next <span style="font-family: 'Comic Sans MS',cursive;"> **D** ivision <span style="font-family: 'Comic Sans MS',cursive;"> M ultiplication <span style="font-family: 'Comic Sans MS',cursive;"> **A** ddition <span style="font-family: 'Comic Sans MS',cursive;"> **S** ubtraction

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">HAVE A GO AT THESE EXAMPLES:

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">a) 5 + 6 x 2 = <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">b) 6 + (5-4)= <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 120%;">c) 9 x 2 + 6


 * <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Answers: **

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Place Value <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 30 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 90,000 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 2,000

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Addition <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 111 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 7777 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 198

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Subtraction <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 20 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 802 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 75

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Multiplication <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 270 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 261 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 48

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Division <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 11 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 20202 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 10 r3

<span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Order of Operations <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">a) 17 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">b) 7 <span style="color: #000000; font-family: 'Comic Sans MS',cursive; font-size: 140%;">c) 24