I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
I can explain the effect of multiplying and dividing a number by 10, 100 and 1,000 including bridging 1
Tenth - One-tenth is one part in ten equal parts.
Hundredth - One-hundredth is one part in one hundred equal parts.
Thousandth - One-thousandth is one part in one thousand equal parts.
Children may 'add' a zero when multiplying or vice versa when dividing. Children may place a zero at the end of the decimal fraction when multiplying, or vice versa when dividing.
When we 'add' zero, the value of the number does not change. When we multiply or divide by a power of 10, we need to move all the digits the appropriate spaces to the left/right even if this means bridging one and moving into the decimal places.
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5 × 100 = - 500
5 × 10 = - 50
5 × 1 = - 5
8 × 10 = - 80
8 × 100 = - 800
8 × 1 = - 8
1 ÷ 100 - 1 × 0.01
0.1 ÷ 100 - 0.1 × 0.01
1 ÷ 10 - 1 × 0.1
0.01 ÷ 10 - 0.01 × 0.1
0.01 ÷ 1 - 0.01 × 1
9 × 1,000 = - 9,000
9000 ÷ 1,000 = - 9
4,000 × 0.001 = - 4
4,000 × 0.1 = - 400
4,000 ÷ 100 = - 40
9,000 x 0.01 = - 90
8 ÷ 1,000 = - 0.008
8 × 0.01 = - 0.08
8 ÷ 10 = - 0.8
8 ÷ 1 = - 8
