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Multiply and Divide by Powers of Ten 86 × 1,000 = 86,000
42.7 × 0.01 = 0.427
4 ÷ 100 = 0.04
62.3 ÷ 0.001 = 62,300 45.3 × 1,000 = 45,300 45.3 × 100 = 4,530 45.3 × 10 = 453 45.3 × 1 = 45.3 45.3 × 0.1 = 4.53 45.3 × 0.01 = 0.453 45.3 × 0.001 = 0.0453
Multiply by Powers of Ten move the decimal RIGHT move the decimal LEFT Multiply by Powers of Ten { { 45.3 × 1,000 = 45,300 45.3 × 100 = 4,530 45.3 × 10 = 453 45.3 × 1 = 45.3 45.3 × 0.1 = 4.53 45.3 × 0.01 = 0.453 45.3 × 0.001 = 0.0453
Move the decimal point to the n × 1,000 n × 100 n × 10 For any number, n, match the rules below. right → ? Move the decimal point to the n × 0.001 n × 0.01 n × 0.1 ← left ? n × 1,000 n × 100 n × 10 n × 1 n × 0.1 n × 0.01 n × 0.001 Rule Match Each Rule Below Move the decimal point: 3 spaces right → ? 2 spaces right → ? 1 space right → ? no change ? 1 space left ← ? 2 spaces left ← ? 3 spaces left ← ? 0.32 × 0.01 = 18 × 1,000 = 4.2 × 100 = 643 × 0.1 = Use the rules to find these products mentally: ***Do not forget to put commas or the initial zero 623.4 ÷ 1,000 = 0.6234 623.4 ÷ 100 = 6.234 623.4 ÷ 10 = 62.34 623.4 ÷ 1 = 623.4 623.4 ÷ 0.1 = 6,234 623.4 ÷ 0.01 = 62,340 623.4 ÷ 0.001 = 623,400 Divide by Powers of Ten move the decimal LEFT move the decimal RIGHT Divide by Powers of Ten { { 623.4 ÷ 1,000 = 0.6234 623.4 ÷ 100 = 6.234 623.4 ÷ 10 = 62.34 623.4 ÷ 1 = 623.4 623.4 ÷ 0.1 = 6,234 623.4 ÷ 0.01 = 62,340 623.4 ÷ 0.001 = 623,400 Move the decimal point to the n ÷ 1,000 n ÷ 100 n ÷ 10 For any number, n, match the rules below. ← left ? Move the decimal point to the n ÷ 0.001 n ÷ 0.01 n ÷ 0.1 right → ? n ÷ 1,000 n ÷ 100 n ÷ 10 n ÷ 1 n ÷ 0.1 n ÷ 0.01 n ÷ 0.001 Rule Match Each Rule Below Move the decimal point: 2 spaces right → ? 1 space right → ? 3 spaces right → ? 2 spaces left ← ? 1 space left ← ? 3 spaces left ← ? no change ? 2,340 ÷ 1,000 = 32.5 ÷ 0.01 = 42 ÷ 100 = 64.3 ÷ 0.1 = Use the rules to find these quotients mentally: ***Do not forget to put commas or the initial zero |