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Chapter 7: Decimals

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8 Maths Mind Map on Chapter 7: Decimals, created by Sarah L on 08/11/2014.
Sarah L
Mind Map by Sarah L, updated more than 1 year ago
Sarah L
Created by Sarah L almost 8 years ago
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Resource summary

Chapter 7: Decimals
  1. 7-01 Ordering Decimals
    1. The number of digits after the decimal point tell us the number of decimal places in a decimal
      1. 3.6567
        1. 4 decimal places
      2. 7-02 Decimals and fractions
        1. To convert from decimals to fractions:
          1. The number of decimal places in the decimal gives the number of zeros in the denominator of the fraction
        2. 7-03 Adding and subtracting decimals
          1. 1. Line up the decimal points
            1. 2. Fill gaps with zeros
              1. 3. +/- as normal
          2. 7- 04 Multiplying and dividing decimals by powers
            1. To multiply a decimal by a power of ten:
              1. Move the decimal point one place to the right for each zero in the power of ten
              2. To divide a decimal by a power of ten:
                1. Move the decimal point one place to the left for each zero in the power of ten
              3. 7-05 Multiplying decimals by estimating
                1. Rounding the number to closest
                  1. Multiply as usual
                    1. Estimation done
                      1. Can be use to check answer
                2. 7-06 Multiplying decimals
                  1. 1. Ignore decimal point and multiply numbers
                    1. 2. Insert decimal point so that the answer has the same number of decimal places in the question
                  2. 7-07 Dividing decimals by whole numbers
                    1. When dividing a decimal b a whole number:
                      1. 1. rewrite question in short division form
                        1. 2. make the decimal point in the answer line up with the decimal point in the question
                          1. 3. Add zeros to the end of the decimal being divided, if needed
                    2. 7-08 Dividing decimals
                      1. Apply knowledge of equivalent fractions
                        1. 40/30 = 4/3 = 0.4/0.3 = 0.04/0.03
                      2. 7-09 Terminating and recurring decimals
                        1. When fractions are converted to decimals, the decimals can be TERMINATING and RECURRING
                          1. TERMINATING
                            1. Have a definite number of decimal places
                            2. RECURRING
                              1. Are decimals whose digits repeat endlessly
                            3. 7-10 Rounding decimals
                              1. To round a decimal 'cut it at the required decimal place and look at the digit in the next place:
                                1. If the digit is less than 5 round down
                                  1. If the digit is 5 or more round up
                                  2. 7-11 Decimal problems
                                    1. Read carefully
                                      1. Show working
                                        1. Word answer
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