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NCERT · Ganita Prakash · Volume 1 · Chapter 3
A Peek Beyond the Point
21 videos in this chapter
The need for smaller units
1 video
Chapter 3
Why Do Measurements Need Units Smaller Than One?
3:10
Why Do Measurements Need Units Smaller Than One?
You'll learn: Measurements rarely come out in whole units, so we subdivide units to measure more precisely.
Understanding tenths
2 videos
Chapter 3
Build Tenths by Dividing One Whole
3:04
Build Tenths by Dividing One Whole
You'll learn: Divide one whole into ten equal parts to make tenths, written as fractions.
Chapter 3
Regroup Ten Tenths as One Whole
3:04
Regroup Ten Tenths as One Whole
You'll learn: Ten tenths regroup into one whole, just as ten ones make a ten.
Understanding hundredths
2 videos
Chapter 3
Make Hundredths by Dividing Tenths
3:06
Make Hundredths by Dividing Tenths
You'll learn: Dividing each tenth into ten equal parts makes hundredths.
Chapter 3
Regroup Hundredths Before Writing Decimals
3:02
Regroup Hundredths Before Writing Decimals
You'll learn: Regroup hundredths into tenths and wholes before writing the decimal.
Decimal place value and notation
2 videos
Chapter 3
Why Does Decimal Place Value Keep Dividing by Ten?
3:08
Why Does Decimal Place Value Keep Dividing by Ten?
You'll learn: Each place is one-tenth of the place to its left, so place value keeps dividing by ten, giving thousandths and beyond.
Chapter 3
Read and Write Decimals Using Expanded Form
3:02
Read and Write Decimals Using Expanded Form
You'll learn: Write a decimal in expanded form to read and write it correctly.
Converting measurement units
2 videos
Chapter 3
Convert Lengths and Masses Using Decimal Units
3:22
Convert Lengths and Masses Using Decimal Units
You'll learn: Metric length and mass units step by tens, hundreds and thousands, so one decimal-shift method converts both.
Chapter 3
Connect Rupees and Paise with Decimals
3:07
Connect Rupees and Paise with Decimals
You'll learn: Paise are hundredths of a rupee, so money amounts are two-place decimals.
Equivalent and ordered decimals
2 videos
Chapter 3
Why Does Adding a Trailing Zero Leave a Decimal Unchanged?
3:27
Why Does Adding a Trailing Zero Leave a Decimal Unchanged?
You'll learn: A trailing zero after the last decimal digit adds zero tenths or hundredths, so the value is unchanged.
Chapter 3
Compare and Order Decimals by Place Value
3:18
Compare and Order Decimals by Place Value
You'll learn: Compare decimals place by place from the left to order them.
Decimals on number lines
3 videos
Chapter 3
Zoom into a Number Line to Locate a Decimal
3:17
Zoom into a Number Line to Locate a Decimal
You'll learn: Zoom into an interval of the number line again and again to locate a decimal precisely.
Chapter 3
Find the Distance Between Two Decimals
3:19
Find the Distance Between Two Decimals
You'll learn: The distance between two decimals is their difference, found on the number line.
Chapter 3
Can You Always Find a Decimal Closer to a Target?
3:24
Decimal addition and subtraction
3 videos
Chapter 3
Regroup to Add and Subtract Decimals
3:15
Regroup to Add and Subtract Decimals
You'll learn: Line up places and regroup across the point to add and subtract decimals.
Chapter 3
Find the Next Terms in a Decimal Sequence
3:17
Find the Next Terms in a Decimal Sequence
You'll learn: Find the constant change in a decimal sequence to continue it.
Chapter 3
Estimate a Decimal Sum or Difference Before Calculating
3:20
Misleading decimal notation
2 videos
Chapter 3
Spot Decimal-Point and Unit Errors
3:24
Spot Decimal-Point and Unit Errors
You'll learn: A misplaced point or a mixed unit changes a value by a factor of ten or more; check both.
Chapter 3
Why 1.5 Hours, 5.6 Feet and 4.3 Overs Can Mislead
3:19
Why 1.5 Hours, 5.6 Feet and 4.3 Overs Can Mislead
You'll learn: Clock time, feet and inches, and cricket overs group by 60, 12 and 6, not 10, so writing them with a dot like a decimal misleads.
Simple fractions as decimals
2 videos
Chapter 3
Write Halves, Quarters and Fifths as Decimals
3:19
Write Halves, Quarters and Fifths as Decimals
You'll learn: Rewrite halves, quarters and fifths with denominators 10 or 100 to get their decimals.
Chapter 3
Separate a Decimal's Whole and Fractional Parts
3:29
Separate a Decimal's Whole and Fractional Parts
You'll learn: Every decimal has a whole part and a fractional part separated by the point.
Can You Always Find a Decimal Closer to a Target?
You'll learn: Between any two decimals there is always another, so we can get as close to a target as we like.
Estimate a Decimal Sum or Difference Before Calculating
You'll learn: Round to whole numbers first to estimate a decimal sum or difference.